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- The document discusses similar triangles and provides examples of finding missing side lengths and angles of similar triangles using proportional reasoning. - Similar triangles are defined as triangles where corresponding angles are congruent or corresponding sides are proportional. - Examples show setting up proportions between corresponding sides or angles of similar triangles to calculate missing values. One example finds the height of a tree using similar right triangles formed by a person's view in a mirror.

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Properties of Parallelogram

Properties of Parallelogram

Similarity of triangles -GEOMETRY

Similarity of triangles -GEOMETRY

CLASS IX MATHS Quadrilaterals

CLASS IX MATHS Quadrilaterals

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Properties of Parallelogram

This document discusses the properties of parallelograms. It defines key terms like congruent, bisect, consecutive angles, supplementary angles, and parallel. It then lists six properties of parallelograms: 1) A diagonal divides a parallelogram into two congruent triangles, 2) Opposite sides are congruent, 3) Opposite angles are congruent, 4) Consecutive angles are supplementary, 5) If one angle is right, all angles are right, and 6) The diagonals bisect each other. An example problem demonstrates applying these properties to show that a given quadrilateral is a parallelogram. In closing, it wishes the reader a nice day.

Similarity of triangles -GEOMETRY

- Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.
- There are three criteria for similarity of triangles: AAA (if corresponding angles are equal), SSS (if corresponding sides are proportional), and SAS (if one angle is equal and the sides containing those angles are proportional).
- If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to each other and to the original triangle.

CLASS IX MATHS Quadrilaterals

This document defines and describes several types of quadrilaterals: a trapezium has one pair of parallel sides, a parallelogram has both pairs of sides parallel, a rectangle is a parallelogram with right angles, a rhombus is an equal-sided parallelogram, a square is an equal-sided rectangle, and a kite has two pairs of consecutive equal sides.

Union and intersection

This document provides an introduction to union and intersection operations in SQL and Python. It explains that UNION combines results from multiple tables while avoiding duplicates, INTERSECT returns only matching rows, and EXCEPT returns rows that are not in the second table. Examples are shown using SQL queries on sample client and VIP tables, and using set operations in Python. Contact information is provided at the end for the mentoring organization that produced this document.

Similarity

This document discusses the concept of similarity in mathematics. It defines that two objects are similar if they have the same shape but not necessarily the same size. Specifically in polygons, two polygons are similar if their corresponding angles are equal and the lengths of corresponding sides are proportional. Examples are provided of similar and non-similar polygons based on whether they satisfy these two properties of having equal angles and proportional sides.

Solving linear & quadratic equations

The document provides an overview of terms and steps used to solve linear and quadratic equations. It defines variables, coefficients, constants, expressions, and equations. It then outlines the steps to solve linear equations which are: 1) simplify, 2) move variables, 3) isolate variables by undoing addition/subtraction and multiplication/division, and 4) check the answer. Examples are provided to demonstrate each step. The document also provides an overview of solving quadratic equations by factoring or using the quadratic formula. More practice problems are provided for the reader to solve.

Function notation by sadiq

This document provides an overview of function notation and how to work with functions. It defines what a function is as a relation that assigns a single output value to each input value. It shows how functions can be represented using standard notation like f(x) and discusses evaluating functions by inputting values. Examples are provided of determining if a relationship represents a function, evaluating functions from tables and graphs, and solving functional equations.

Congruence Postulates for Triangles

The document discusses the different postulates for proving that two triangles are congruent: SAS, ASA, SSS, and SAA. It explains each postulate and provides examples of how to use them to prove triangles are congruent by listing corresponding parts and reasons. Steps are outlined for setting up congruence proofs, including marking givens, choosing a postulate, listing statements equal parts, and stating reasons using properties or postulates.

2.7.4 Conditions for Parallelograms

* Prove that a given quadrilateral is a parallelogram.
* Prove that a given quadrilateral is a rectangle, rhombus, or square.

Rational numbers in the number line

1) Rational numbers are numbers that can be written as a quotient of two integers, such as a/b where b does not equal 0. They include integers as well as fractions and terminating or repeating decimals.
2) The document provides examples of rational numbers and asks students to determine if examples are rational numbers and to plot them on a number line.
3) Students are given practice locating rational numbers on a number line, such as -5/3, and asked to plot multiple rational numbers on a single number line.

Triangles (Similarity)

The document is an acknowledgement from a group of 5 students - Abhishek Mahto, Lakshya Kumar, Mohan Kumar, Ritik Kumar, and Vivek Singh of class X E. They are thanking their principal Dr. S.V. Sharma and math teacher Mrs. Shweta Bhati for their guidance and support in completing their project on triangles and similarity. They also thank their parents and group members for their advice and assistance during the project.

Integral Calculus

This document discusses integration, which is the inverse process of differentiation. Integration allows us to find the original function given its derivative. Several integration techniques are explained, including substitution, integration by parts, and finding volumes of revolution. Standard integrals are presented along with examples of calculating areas under curves and volumes obtained by rotating areas about axes. Definite integrals are used to find the area between curves over a specified interval.

Substitution method

This document discusses the substitution method for solving systems of equations. It provides two examples of using this method. The substitution method involves: (1) defining variables, (2) writing a system of equations, (3) substituting the value of one variable into another equation to eliminate that variable, (4) solving the resulting equation for the remaining variable, and (5) substituting this value back to find the first variable. This allows the system to be solved to find the values of both original variables.

Pythagoras Theorem Explained

Pythagoras discovered that the ancient Egyptians used a 3:4:5 right triangle to build the pyramids. He investigated this further and deduced the Pythagorean theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras proved this by drawing squares on each side of right triangles and showing that the areas added up. The Pythagorean theorem has been used since ancient times in architecture, engineering, and more recently in technology like screens.

Area of trapezium

A trapezium is a quadrilateral with one set of parallel sides. To calculate the area of a trapezium, divide it into a triangle and rectangle by connecting the non-parallel sides. The area formula is (a + b)h/2, where a and b are the parallel sides, h is the height or altitude, and (a - b) gives the base of the triangle formed. An example calculates the area of a given trapezium using this formula.

Numerical solutions of algebraic equations

The document discusses numerical methods for solving algebraic and transcendental equations. It describes direct and iterative methods. Bisection, regula falsi, and Newton Raphson are iterative root-finding algorithms explained in detail with examples. The order of convergence of iterative methods is defined as the rate at which error decreases between successive approximations. The document serves as seminar material on engineering mathematics covering numerical solutions of equations.

Direct Variation

This document is a lesson on direct variation from a mathematics course. It begins with warm up problems identifying points and slopes of lines from their equations. It then covers identifying direct variation by graphing data and checking if ratios are constant. It provides examples of determining if data sets show direct variation and finding equations of direct variation given points. It concludes with a lesson quiz testing finding equations of direct variation from points and determining if data sets vary directly.

Asa congruence postulate

If the two angles and an included side of one triangle are congruent to the corresponding two angles and an included side of another triangle, then the triangles are congruent.

proving-triangles-are-congruent.ppt

This document discusses different ways to prove that two triangles are congruent, including:
1) Side-Side-Side (SSS), which proves congruence if all three sides of one triangle are congruent to the corresponding sides of the other triangle.
2) Side-Angle-Side (SAS), which proves congruence if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle.
3) Angle-Side-Angle (ASA), which proves congruence if two angles and the side between them of one triangle are congruent to the corresponding parts of the other triangle.

Equation Of A Line

This document discusses different methods for finding the equation of a line, including:
1) Given the slope and y-intercept
2) Using a graph
3) Given a point and the slope
4) Given two points
It provides examples of how to write the line equation using each method.

Properties of Parallelogram

Properties of Parallelogram

Similarity of triangles -GEOMETRY

Similarity of triangles -GEOMETRY

CLASS IX MATHS Quadrilaterals

CLASS IX MATHS Quadrilaterals

Union and intersection

Union and intersection

Similarity

Similarity

Solving linear & quadratic equations

Solving linear & quadratic equations

Function notation by sadiq

Function notation by sadiq

Congruence Postulates for Triangles

Congruence Postulates for Triangles

2.7.4 Conditions for Parallelograms

2.7.4 Conditions for Parallelograms

Rational numbers in the number line

Rational numbers in the number line

Triangles (Similarity)

Triangles (Similarity)

Integral Calculus

Integral Calculus

Substitution method

Substitution method

Pythagoras Theorem Explained

Pythagoras Theorem Explained

Area of trapezium

Area of trapezium

Numerical solutions of algebraic equations

Numerical solutions of algebraic equations

Direct Variation

Direct Variation

Asa congruence postulate

Asa congruence postulate

proving-triangles-are-congruent.ppt

proving-triangles-are-congruent.ppt

Equation Of A Line

Equation Of A Line

Similar triangles

The document discusses similar triangles and how to use proportions to solve problems involving similar triangles. It provides examples of setting up proportions between corresponding sides of similar triangles to determine unknown side lengths. It also gives examples of applying similar triangle proportions to solve real-world problems involving shadows.

Module 3 geometric relations

This module discusses geometric relationships involving angles formed when parallel lines are cut by a transversal. It covers identifying corresponding angles, alternate interior angles, alternate exterior angles, and angles on the same side of the transversal. Relationships between these angles are that corresponding angles and alternate interior angles are congruent, and angles on the same side of the transversal are supplementary. Examples are provided to demonstrate solving for unknown angle measures using these relationships.

Module 2 geometric relations

This module introduces geometric relationships between lines and angles. It discusses parallel and perpendicular lines, and defines perpendicular bisectors of line segments. It also covers exterior angles of triangles and triangle inequalities involving side lengths and angle measures. Key concepts taught include the perpendicular bisector theorem, exterior angle theorem, triangle inequality theorem, and the Pythagorean theorem for right triangles. Students are expected to learn to identify and apply properties of parallel, perpendicular and intersecting lines, and solve problems involving triangle inequalities.

4th_Quarter_Mathematics_8 (1).docx

1) The document provides a math quiz with 15 multiple choice questions covering topics in probability and statistics, including sample spaces, outcomes, experiments, events, and the fundamental counting principle.
2) It also includes 5 word scramble questions where the letters in numbers spell out terms related to exterior angles of triangles.
3) The final part of the document discusses parallel lines, transversals, and the different types of angles they form, including corresponding angles, same side interior angles, alternate interior angles, and alternate exterior angles.

Text 10.5 similar congruent polygons

Two polygons are similar if they have the same shape but not necessarily the same size. Congruent polygons have the same shape and the same size. The document provides examples of finding corresponding sides and angles of similar and congruent polygons. It also gives examples of determining if two polygons are similar by checking if the ratios of corresponding sides are equal.

Math 9 similar triangles intro

The document is a lecture on similar triangles. It defines similar triangles as having the same shape but different sizes, and discusses how similar triangles have corresponding angles that are congruent and corresponding sides that are proportional. It provides examples of similar triangles and statements showing their similarity. It also covers using proportions of corresponding sides to solve for missing sides in similar triangles and several proportionality principles related to similar triangles, including the basic proportionality theorem involving parallel lines cutting across a triangle.

Drawing some kinds of line in triangle

There are four types of lines that can be drawn in a triangle:
1. A perpendicular bisector of a side bisects the side at a 90 degree angle.
2. An angle bisector bisects the interior angle of the triangle into two equal angles.
3. A height or altitude drops perpendicular from a vertex to the opposite side.
4. A median connects a vertex to the midpoint of the opposite side.

8 3 Similar Triangles

The document discusses similar triangles and how to determine if two triangles are similar. It explains that two triangles are similar if corresponding angles are congruent. It provides examples of using the Angle-Angle similarity criterion to show triangles are similar and using proportions to find missing sides of similar triangles. The lesson covered congruent triangles, similar triangles, determining similarity using corresponding angles, and applying similarity to find unknown lengths.

J9 b06dbd

This document provides information about similar and congruent figures in geometry. It defines similar figures as those that have the same shape but not necessarily the same size, while congruent figures have both the same shape and the same size. Corresponding parts of similar figures, such as corresponding angles and sides, are identified and their properties are described. Examples are provided to demonstrate how to determine if figures are similar based on ratios of corresponding side lengths. Congruent figures are also discussed, noting that corresponding angles and sides of congruent figures are congruent. The document concludes with practice problems applying the concepts of similar and congruent figures.

similar triangles

1) Triangles are three-sided polygons formed by three line segments. The sum of the three interior angles is always 180 degrees.
2) There are certain properties that apply to all triangles, such as being rigid flat shapes that satisfy the Triangle Inequality.
3) Triangles can be categorized based on their sides and angles. Congruent triangles are identical in shape and size, while similar triangles have the same shape but may differ in size. The properties of similar triangles can be used to solve proportional relationships.

Module 2 similarity

Here are the key steps:
1. ∆MAN ~ ∆MON (by AAA similarity theorem)
2. There is 1 triangle similar to ∆MAN
For the polyominoes activity:
- A polyomino made of 1 square would require 4 sticks
- A polyomino made of 2 squares would require 6 sticks
- A polyomino made of 3 squares would require 8 sticks
- A polyomino made of 4 squares would require 10 sticks (as in the example given)
- Continuing the pattern, a polyomino made of n squares would require 2n + 2 sticks
For the rectangle counting activity:
- There are 4 rectangles in the given diagram (

Module 2 similarity

This document provides information about Module 17 on similar triangles. The key points covered are:
1. The module discusses the definition of similar triangles, similarity theorems, and how to determine if two triangles are similar or find missing lengths using properties of similar triangles.
2. Students are expected to learn how to apply the definition of similar triangles, verify the AAA, SAS, and SSS similarity theorems, and use proportionality theorems to calculate lengths of line segments.
3. Several examples and exercises are provided to help students practice determining if triangles are similar, citing the appropriate similarity theorem, finding missing lengths, and applying properties of similar triangles.

Chapter 1.1

The document discusses properties of similar figures and how to determine if two figures are similar. It provides examples of similar figures and how to use scale factors and proportional sides to determine missing side lengths. Some key points made include:
- Two figures are similar if corresponding angles have the same measure and ratios of corresponding sides are equal.
- The scale factor is the ratio of corresponding sides and can be used to determine unknown side lengths of similar figures.
- Examples show determining if figures are similar and calculating missing side lengths using scale factors and proportional sides.

8 3similar Triangles

The document discusses similar triangles and how to determine if triangles are similar. It explains that similar triangles have congruent angles, while congruent triangles have both congruent angles and sides. It provides examples of using the Angle-Angle similarity criterion to determine if triangles are similar and setting up ratio proportions to calculate missing sides of similar triangles. The lesson objectives are to apply properties of similar triangles and prove that triangles are similar.

Module 6

This document contains information from a mathematics teacher training on topics related to similar polygons and triangles. It includes:
1. Definitions and examples of similar polygons and triangles, including corresponding angle and side proportionality.
2. Proofs of theorems involving triangle similarity, including AA, SSS, and SAS similarity.
3. Applications of triangle similarity theorems to solve problems involving similar triangles, proportions, and finding unknown side lengths.
4. Theorems on right triangle similarity, triangle angle bisectors, and special right triangles. Examples are provided to demonstrate applications of these concepts.

RO Q3 M4 MATH9 pdf.pdf

This document contains a mathematics lesson on solving word problems involving parallelograms, trapezoids, and kites. It begins with an introduction to the key properties of parallelograms, trapezoids, and kites. It then provides 4 examples of word problems involving these shapes and shows the step-by-step work and reasoning to solve each problem using the relevant geometric properties. The lesson aims to teach students how to illustrate, set up, and solve word problems involving parallelograms, trapezoids, and kites.

Triangles and Types of triangles&Congruent Triangles (Congruency Rule)

This document defines and describes different types of triangles:
- Equilateral triangles have three equal sides and three equal angles.
- Isosceles triangles have at least two equal sides.
- Scalene triangles have no equal sides.
- Right triangles have one 90 degree angle.
- Acute triangles have all angles less than 90 degrees.
- Obtuse triangles have one angle greater than 90 degrees.
It also describes three theorems used to prove triangle congruence: SSS (three equal sides), SAS (two equal sides and the included angle), and ASA (two equal angles and one included side).

Ppt for geometry

- Pythagoras' theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. It is used to calculate the length of the third side when two sides are known.
- Several examples are given demonstrating how to use Pythagoras' theorem to calculate missing side lengths in right-angled triangles.
- Similarities and congruencies between triangles are also discussed.

Lecture 4.3

The document discusses congruent triangles and their properties. It defines congruent figures as those with corresponding sides and angles that are congruent. It presents several ways to prove triangles are congruent, including using corresponding parts, vertical angles, the third angle theorem, and properties of congruent figures like the transitive property. It provides examples of writing congruence statements and determining if triangles are congruent based on given information.

Module 2 properties of quadrilaterals

This document discusses properties of quadrilaterals, specifically rectangles, squares, and rhombuses. It provides 3 learning objectives: 1) derive properties of diagonals of special quadrilaterals, 2) verify conditions for a quadrilateral to be a parallelogram, and 3) solve problems involving these shapes. It then presents true/false questions to assess prior knowledge, worked examples demonstrating properties and problem solving, and additional practice problems. The key properties covered are that rectangle and square diagonals are congruent and perpendicular, and rhombus diagonals bisect opposite angles and are perpendicular.

Similar triangles

Similar triangles

Module 3 geometric relations

Module 3 geometric relations

Module 2 geometric relations

Module 2 geometric relations

4th_Quarter_Mathematics_8 (1).docx

4th_Quarter_Mathematics_8 (1).docx

Text 10.5 similar congruent polygons

Text 10.5 similar congruent polygons

Math 9 similar triangles intro

Math 9 similar triangles intro

Drawing some kinds of line in triangle

Drawing some kinds of line in triangle

8 3 Similar Triangles

8 3 Similar Triangles

J9 b06dbd

J9 b06dbd

similar triangles

similar triangles

Module 2 similarity

Module 2 similarity

Module 2 similarity

Module 2 similarity

Chapter 1.1

Chapter 1.1

8 3similar Triangles

8 3similar Triangles

Module 6

Module 6

RO Q3 M4 MATH9 pdf.pdf

RO Q3 M4 MATH9 pdf.pdf

Triangles and Types of triangles&Congruent Triangles (Congruency Rule)

Triangles and Types of triangles&Congruent Triangles (Congruency Rule)

Ppt for geometry

Ppt for geometry

Lecture 4.3

Lecture 4.3

Module 2 properties of quadrilaterals

Module 2 properties of quadrilaterals

Credit Card Calculations

1) Credit cards charge interest on unpaid balances at annual percentage rates. Interest is calculated daily and added to the balance.
2) An example calculates the interest on an unpaid balance of $1724.29 at 19.5% for 17 days as $15.66 using the formula I=Prt.
3) Arnold used his credit card for various purchases totaling $1379.05 in November. With an 18.5% APR, the minimum payment of 5% or $10 (greater) is $68.95. If he only pays the minimum, his balance will be $1330.68 on the December statement.

MF10 5 6-Properties Linear Relations

This document discusses properties of linear relations. It defines a linear relation as one where the graph is a straight line and the dependent and independent variables change by a constant amount. Several examples are provided of equations and data tables to illustrate linear and non-linear relations. Key aspects include: identifying dependent and independent variables; determining if changes are constant, as required for linearity; and calculating the rate of change as the change in the dependent variable over the change in the independent variable. Rate of change is shown to represent the slope of the linear relationship.

MWA10 2.4 Deductions

This document discusses payroll deductions and how to calculate net pay. It defines net pay as the money paid to an employee after deductions have been made. It then lists common deductions like income tax, CPP, EI, union dues, and benefits. The document provides examples to demonstrate how to calculate deductions for CPP, EI, income tax, and net pay using an employee's gross pay, deduction amounts, and tax tables.

MWA10 7.2 Sine Ratio

1) The document introduces the Sine Ratio and how it can be used to find the measure of a side or angle in a right triangle when the lengths of other sides and/or measures of other angles are known.
2) Examples are provided to demonstrate how to set up and solve problems using the Sine Ratio, labeling triangles and identifying the relevant trigonometric ratio formula.
3) New terms for angle of elevation and angle of depression are defined and an example problem involving finding the height of a kite is shown.

MWA10 6.2 Similar Polygons

The document discusses determining if two polygons are similar. It provides two criteria for similarity: (1) corresponding angles must be congruent, and (2) the ratios of corresponding sides must be equal. Examples are then given to demonstrate applying these criteria to determine if polygons and scaled figures are similar or not similar.

MWA10 5.3 NonParallel Lines

The document defines and provides examples of different types of angles formed by intersecting non-parallel lines and a transversal line, including corresponding angles, alternate interior angles, same-side interior angles, alternate exterior angles, and same-side exterior angles. Examples are given to identify specific angles that fit several of these categories using labeled diagram representations.

MWA10 3.4 Volume Imperial Measurement

The document discusses converting between US imperial and metric units of volume. It provides examples of converting liters of gas to gallons, converting square meters of area to yards cubed of topsoil needed, and converting milliliters of ingredients to cups and teaspoons for a baking recipe. The examples show setting up proportions to perform unit conversions between the different systems of measurement.

MWA 10 7.5 Solving Triangles

The document provides instructions on using trigonometric functions to find missing angles or sides of right triangles. It begins with reminders of trigonometric definitions and ratios. Examples are then given to demonstrate finding a missing side using the Pythagorean theorem or a trigonometric ratio, and finding a missing angle using an inverse trigonometric function. Tips are provided on determining which method to use based on the information given in a problem.

MWA 10 7.1 Pythagorean

The document explains the Pythagorean theorem and provides examples of its use. It defines key terms like right triangle, hypotenuse, and how angles and sides are labeled. The theorem states that for a right triangle with sides a, b, c, where c is the hypotenuse, a^2 + b^2 = c^2. Examples show setting up and solving equations using the theorem to find missing side lengths of right triangles. The final example calculates the length of cloth needed to make a tent with a 4m high, 3m wide opening.

MWA 10 5.1 Angles

- Angles can be measured using a protractor and estimated using common referent angles like 45, 90, and 180 degrees.
- True bearing is the angle measured clockwise from true north to a destination, with north defined as 0 degrees.
- Examples show how to determine true bearing by drawing a line north from the starting point and measuring the clockwise angle to the destination using a protractor.

MWA 10 4.4 Conversions

This document provides examples of converting between units of volume and weight. It shows how to calculate the number of bushels of flax seed in 2.4 tonnes using a given conversion factor. It also shows how to calculate the amount of chicken, in kilograms, needed to make kebabs for 14 people using a per person ounce amount. The key is using appropriate conversion factors to change between units like bushels to tonnes, ounces to grams, and grams to kilograms.

MWA 10: 1.2 Unit Price

The document discusses how to calculate unit price in order to compare deals when items are packaged in different quantities. It provides two examples, showing that 12 cans of pop for $5.45 and 10 pencils for $2.64 are better deals than their alternatives, since they have lower per unit prices. Calculating unit price allows consumers to determine which bulk purchase provides better value for the money.

MWA 10: 1.3 Setting Price

The document discusses how to calculate pricing that includes markups and taxes. It defines markup as the difference between the purchase and sale prices of a product. It provides examples of calculating prices using markups in percentages and as decimals. The examples demonstrate calculating the original price with markup, then applying taxes as percentages to the total to determine the final sale price. Key factors that affect pricing are identified as costs, demand, availability, desired profit from markup, and applicable taxes.

MWA 10: 1.4 On Sale

The document discusses sales promotions and discounts. It defines a promotion as an activity that increases awareness or attracts customers. A discount lowers the original price by a percentage, while a markup raises the original price. The document provides examples of calculating discounted prices and sale prices with taxes. It shows how to calculate the discounted price of a $189.95 jacket discounted 25% ($142.46) and the sale price of a $115.58 stereo discounted 15% including taxes ($108.06).

MWA30 Chapter 2

This document discusses tolerances in carpentry and provides examples of calculating tolerances for dimensions of a wooden stool. It defines tolerance as the acceptable variation in a measurement. For the stool project, the tolerance is 1/16" for all dimensions. Tables show the maximum, minimum, and nominal values expressed with tolerance for the seat diameter, seat thickness, leg length, leg width, and lengths and diameter of the crosspieces. All dimensions that need to fit together are expressed as the maximum value minus the tolerance plus zero to indicate they should be made slightly larger then sanded down if too big.

Mf30 project1

The document summarizes a student's final math project analyzing survey data about how much money 10 families spent on food, gifts, decoration, and clothing during Christmas. The student collected spending amounts from each family and organized it in a table. They then calculated totals and averages. To analyze the data, the student created two graphs - a histogram to show each family's spending and a pie chart dividing total spending among the four categories. The pie chart showed that gifts was the highest spending category during Christmas.

Mf30 project2

The student conducted a survey asking 10 people how many hours of sleep they get each night. The responses were categorized as 7 hours or less, 3 hours or less, and 9 hours or more. A tally showed 5 people slept 3 hours or less, 3 people slept 9 hours or more, and 2 slept 7 hours or less. Graphs were created to display the results, which found the average hours of sleep among the 10 people was 3.3 hours.

Howdocompanysusesystemsofequations

The document discusses how companies use systems of equations to maximize profits. It explains that profits are maximized when marginal revenue equals marginal cost, identifying the quantity and price at this point. The document also notes that average total cost is minimized when it equals marginal cost, and discusses how a vertical line representing optimal production quantity intersects the demand curve.

Acct20-Chapter17

This document provides information about adjusting and closing entries for a partnership. It includes examples of adjusting entries for prepaid insurance, supplies inventory, and other expense accounts. It also discusses the income summary account and how it is closed out through a closing entry that credits revenue and debits expenses. Finally, it shows how closing entries are made for partners' capital accounts to record the net income or loss for the fiscal period and to close out the income summary account.

Acct20-Chapter16

This document provides an overview of accounting concepts related to financial statements for partnerships. It discusses how to prepare income statements, distribution of net income statements, owners' equity statements, and balance sheets for partnerships. It defines key terms like cost of merchandise sold, gross profit on sales, distribution of net income statement, and owners' equity statement. It also shows how to analyze income statements and complete the various sections of financial statements for partnerships.

Credit Card Calculations

Credit Card Calculations

MF10 5 6-Properties Linear Relations

MF10 5 6-Properties Linear Relations

MWA10 2.4 Deductions

MWA10 2.4 Deductions

MWA10 7.2 Sine Ratio

MWA10 7.2 Sine Ratio

MWA10 6.2 Similar Polygons

MWA10 6.2 Similar Polygons

MWA10 5.3 NonParallel Lines

MWA10 5.3 NonParallel Lines

MWA10 3.4 Volume Imperial Measurement

MWA10 3.4 Volume Imperial Measurement

MWA 10 7.5 Solving Triangles

MWA 10 7.5 Solving Triangles

MWA 10 7.1 Pythagorean

MWA 10 7.1 Pythagorean

MWA 10 5.1 Angles

MWA 10 5.1 Angles

MWA 10 4.4 Conversions

MWA 10 4.4 Conversions

MWA 10: 1.2 Unit Price

MWA 10: 1.2 Unit Price

MWA 10: 1.3 Setting Price

MWA 10: 1.3 Setting Price

MWA 10: 1.4 On Sale

MWA 10: 1.4 On Sale

MWA30 Chapter 2

MWA30 Chapter 2

Mf30 project1

Mf30 project1

Mf30 project2

Mf30 project2

Howdocompanysusesystemsofequations

Howdocompanysusesystemsofequations

Acct20-Chapter17

Acct20-Chapter17

Acct20-Chapter16

Acct20-Chapter16

Open Source and AI - ByWater Closing Keynote Presentation.pdf

ByWater Solutions, a leader in open-source library software, will discuss the future of open-source AI Models and Retrieval-Augmented Generation (RAGs). Discover how these cutting-edge technologies can transform information access and management in special libraries. Dive into the open-source world, where transparency and collaboration drive innovation, and learn how these can enhance the precision and efficiency of information retrieval.
This session will highlight practical applications and showcase how open-source solutions can empower your library's growth.

1. Importance_of_reducing_postharvest_loss.pptx

Importance_scope, status __postharvest horticulture in nepal

New Features in Odoo 17 Sign - Odoo 17 Slides

The Sign module available in the Odoo ERP platform is exclusively designed for sending, signing, and approving documents digitally. The intuitive interface of the module with the drag and drop fields helps us to upload our pdf easily and effectively. In this slide, let’s discuss the new features in the sign module in odoo 17.

Introduction to Banking System in India.ppt

Bank – Banking – Banking System in India – Origin of Bank-Classification of Banks –Types of Customers RBI Functions- Commercial Banks – Functions

How to Add a Filter in the Odoo 17 - Odoo 17 Slides

In this slide, we will learn how to add filters in Odoo 17. Filters are a powerful tool that allows us to narrow down our search results and find the specific information we need. We will go over on how to create custom filters. By the end of this slide, we will be able to easily filter our data in Odoo 17.

formative Evaluation By Dr.Kshirsagar R.V

Formative Evaluation Cognitive skill

"DANH SÁCH THÍ SINH XÉT TUYỂN SỚM ĐỦ ĐIỀU KIỆN TRÚNG TUYỂN ĐẠI HỌC CHÍNH QUY ...

"DANH SÁCH THÍ SINH XÉT TUYỂN SỚM ĐỦ ĐIỀU KIỆN TRÚNG TUYỂN ĐẠI HỌC CHÍNH QUY NĂM 2024
KHỐI NGÀNH NGOÀI SƯ PHẠM"

SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx

Matatag Curriculum

Genetics Teaching Plan: Dr.Kshirsagar R.V.

A good teaching plan is a comprehensive write-up of the step-by-step and teaching methods helps students for understand the topic

matatag curriculum education for Kindergarten

for educational purposes only

Odoo 17 Events - Attendees List Scanning

Use the attendee list QR codes to register attendees quickly. Each attendee will have a QR code, which we can easily scan to register for an event. You will get the attendee list from the “Attendees” menu under “Reporting” menu.

Parent PD Design for Professional Development .docx

Professional Development Papers

NAEYC Code of Ethical Conduct Resource Book

NAEYC Code of Ethical Conduct Book

How To Update One2many Field From OnChange of Field in Odoo 17

There can be chances when we need to update a One2many field when we change the value of any other fields in the form view of a record. In Odoo, we can do this. Let’s go with an example.

How to Manage Large Scrollbar in Odoo 17 POS

Scroll bar is actually a graphical element mainly seen on computer screens. It is mainly used to optimize the touch screens and improve the visibility. In POS there is an option for large scroll bars to navigate to the list of items. This slide will show how to manage large scroll bars in Odoo 17.

10th Social Studies Enrichment Material (Abhyasa Deepika) EM.pdf

10th Social Studies

C Interview Questions PDF By Scholarhat.pdf

C Interview Questions PDF By Scholarhat

How to Manage Early Receipt Printing in Odoo 17 POS

This slide will represent how to manage the early receipt printing option in Odoo 17 POS. Early receipts offer transparency and clarity for each customer regarding their individual order. Also printing receipts as orders are placed, we can potentially expedite the checkout process when the bill is settled.

E-learning Odoo 17 New features - Odoo 17 Slides

Now we can take a look into the new features of E-learning module through this slide.

A beginner’s guide to project reviews - everything you wanted to know but wer...

A beginner’s guide to project reviews - everything you wanted to know but wer...Association for Project Management

APM event held on 9 July in Bristol.
Speaker: Roy Millard
The SWWE Regional Network were very pleased to welcome back to Bristol Roy Millard, of APM’s Assurance Interest Group on 9 July 2024, to talk about project reviews and hopefully answer all your questions.
Roy outlined his extensive career and his experience in setting up the APM’s Assurance Specific Interest Group, as they were known then.
Using Mentimeter, he asked a number of questions of the audience about their experience of project reviews and what they wanted to know.
Roy discussed what a project review was and examined a number of definitions, including APM’s Bok: “Project reviews take place throughout the project life cycle to check the likely or actual achievement of the objectives specified in the project management plan”
Why do we do project reviews? Different stakeholders will have different views about this, but usually it is about providing confidence that the project will deliver the expected outputs and benefits, that it is under control.
There are many types of project reviews, including peer reviews, internal audit, National Audit Office, IPA, etc.
Roy discussed the principles behind the Three Lines of Defence Model:, First line looks at management controls, policies, procedures, Second line at compliance, such as Gate reviews, QA, to check that controls are being followed, and third Line is independent external reviews for the organisations Board, such as Internal Audit or NAO audit.
Factors which affect project reviews include the scope, level of independence, customer of the review, team composition and time.
Project Audits are a special type of project review. They are generally more independent, formal with clear processes and audit trails, with a greater emphasis on compliance. Project reviews are generally more flexible and informal, but should be evidence based and have some level of independence.
Roy looked at 2 examples of where reviews went wrong, London Underground Sub-Surface Upgrade signalling contract, and London’s Garden Bridge. The former had poor 3 lines of defence, no internal audit and weak procurement skills, the latter was a Boris Johnson vanity project with no proper governance due to Johnson’s pressure and interference.
Roy discussed the principles of assurance reviews from APM’s Guide to Integrated Assurance (Free to Members), which include: independence, accountability, risk based, and impact, etc
Human factors are important in project reviews. The skills and knowledge of the review team, building trust with the project team to avoid defensiveness, body language, and team dynamics, which can only be assessed face to face, active listening, flexibility and objectively.
Click here for further content: https://www.apm.org.uk/news/a-beginner-s-guide-to-project-reviews-everything-you-wanted-to-know-but-were-too-afraid-to-ask/Open Source and AI - ByWater Closing Keynote Presentation.pdf

Open Source and AI - ByWater Closing Keynote Presentation.pdf

1. Importance_of_reducing_postharvest_loss.pptx

1. Importance_of_reducing_postharvest_loss.pptx

New Features in Odoo 17 Sign - Odoo 17 Slides

New Features in Odoo 17 Sign - Odoo 17 Slides

Introduction to Banking System in India.ppt

Introduction to Banking System in India.ppt

How to Add a Filter in the Odoo 17 - Odoo 17 Slides

How to Add a Filter in the Odoo 17 - Odoo 17 Slides

formative Evaluation By Dr.Kshirsagar R.V

formative Evaluation By Dr.Kshirsagar R.V

"DANH SÁCH THÍ SINH XÉT TUYỂN SỚM ĐỦ ĐIỀU KIỆN TRÚNG TUYỂN ĐẠI HỌC CHÍNH QUY ...

"DANH SÁCH THÍ SINH XÉT TUYỂN SỚM ĐỦ ĐIỀU KIỆN TRÚNG TUYỂN ĐẠI HỌC CHÍNH QUY ...

SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx

SD_Integrating 21st Century Skills in Classroom-based Assessment.pptx

Genetics Teaching Plan: Dr.Kshirsagar R.V.

Genetics Teaching Plan: Dr.Kshirsagar R.V.

matatag curriculum education for Kindergarten

matatag curriculum education for Kindergarten

Odoo 17 Events - Attendees List Scanning

Odoo 17 Events - Attendees List Scanning

Parent PD Design for Professional Development .docx

Parent PD Design for Professional Development .docx

NAEYC Code of Ethical Conduct Resource Book

NAEYC Code of Ethical Conduct Resource Book

How To Update One2many Field From OnChange of Field in Odoo 17

How To Update One2many Field From OnChange of Field in Odoo 17

How to Manage Large Scrollbar in Odoo 17 POS

How to Manage Large Scrollbar in Odoo 17 POS

10th Social Studies Enrichment Material (Abhyasa Deepika) EM.pdf

10th Social Studies Enrichment Material (Abhyasa Deepika) EM.pdf

C Interview Questions PDF By Scholarhat.pdf

C Interview Questions PDF By Scholarhat.pdf

How to Manage Early Receipt Printing in Odoo 17 POS

How to Manage Early Receipt Printing in Odoo 17 POS

E-learning Odoo 17 New features - Odoo 17 Slides

E-learning Odoo 17 New features - Odoo 17 Slides

A beginner’s guide to project reviews - everything you wanted to know but wer...

A beginner’s guide to project reviews - everything you wanted to know but wer...

- 1. Similar Triangles Slide 1 Points to remember: • The sum of the angles of a triangle is 180 • If two corresponding angles in two triangles are equal, the third angle will also be equal. • Two triangles are similar if o any two of the three corresponding angles are congruent o or one pair of corresponding angles is congruent and the corresponding sides adjacent to the angles are proportional. • Two right triangles are similar if one pair of corresponding angles is congruent.
- 2. Slide 2 Example 1: If DCE ~ VUW, find the measure of .CD
- 3. Slide 3 Example 1: If DCE ~ VUW, find the measure of .CD List the corresponding sides: and and and DC VU DE VW CE UW
- 4. Slide 4 Example 1: If DCE ~ VUW, find the measure of .CD List the corresponding sides: and and and DC VU DE VW CE UW Set up the proportion and solve… 12 9 36 x 12 324x 1 12 12 2 324x 27x OR 36 12 9 x 324 12x 3 12 12 24 12x 27x
- 5. Slide 5 Example 2: The triangles are similar. Calculate the missing side. If 42 and 30, then 12FH RH FR 12 Let x = length of 𝐹𝑆 12 84 42 x 42 1008x 42 10 42 42 08x 24x
- 6. Slide 6 Example 2: The triangles are similar. Calculate the missing side. If 42 and 30, then 12FH RH FR 12 Let x = length of 𝐹𝑆 12 84 42 x 42 1008x 42 10 42 42 08x 24x 24 FS SG FG 24 84SG 60SG Answer: The missing side has a measure of 60.
- 7. Slide 7 10.5 Example 3: ABC ~ DEF. Find the missing sides and missing angles.
- 8. Slide 8 10.5 Example 3: ABC ~ DEF. Find the missing sides and missing angles. Since the triangles are similar, the corresponding angles are congruent. 82 A D A 34 C F F Angles in a triangle add up to 180 180 82 34 180 64 A B C B B
- 9. Slide 9 10.5 Example 3: ABC ~ DEF. Find the missing sides and missing angles. Since the triangles are similar, the corresponding angles are congruent. 82 A D A 34 C F F Angles in a triangle add up to 180 180 82 34 180 64 A B C B B Corresponding sides are proportional. Set up the proportion… 10.5 7 12 y 7 126y 18y 10.5 7 14 z 7 147z 21z
- 10. Slide 10 Example 4: Tom wants to find the height of a tall evergreen tree. He places a mirror on the ground and positions himself so that he can see the reflection of the top of the tree in the mirror. The mirror is 0.7 m away from him and 5.5 m from the tree. If Tom is 1.8 m tall, how tall is the tree? Note: the triangles are similar.
- 11. Set up the proportion and solve… Slide 11 Example 4: Tom wants to find the height of a tall evergreen tree. He places a mirror on the ground and positions himself so that he can see the reflection of the top of the tree in the mirror. The mirror is 0.7 m away from him and 5.5 m from the tree. If Tom is 1.8 m tall, how tall is the tree? Note: the triangles are similar. Answer: The tree would be 14.14 m tall. 1.8 0.7 5.5h 0.7 9.9h 0.7 0.7 9 .7 .9 0 h 14.14h