This document discusses proportions and their properties in geometry. A proportion is two equal ratios that can be set up and cross-multiplied to solve for unknown values. The terms of a proportion can be switched diagonally or by adding denominators to numerators while maintaining equality. The geometric mean is the value diagonal to itself in a proportion of two positive numbers.
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
* Presentation – Complete video for teachers and learners on Similarity
* GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Similarity Questions
* Learner will be able to say authoritatively that:
I can apply similarity to model a real life situation and the various field of study: Engineering, Art and Design, Construction, etc..
I can solve any given question on Combined Similarity: Volume, Area, Standard Dimensions…
I can find the scale factor given any object or image parameter
I can use a given scale model to find unknown parameter of any similar shape and also apply the concepts in all field of studies: Construction, Cryptographer, Actuary, Astronomy, Physical Science, Biological Science, Astrophysics, etc….
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
* Presentation – Complete video for teachers and learners on Similarity
* GSCE, IGCSE, IB, PSAT, and AISL - Exam Style Questions which covers all the related concepts required for students to unravel any International Exam Style Similarity Questions
* Learner will be able to say authoritatively that:
I can apply similarity to model a real life situation and the various field of study: Engineering, Art and Design, Construction, etc..
I can solve any given question on Combined Similarity: Volume, Area, Standard Dimensions…
I can find the scale factor given any object or image parameter
I can use a given scale model to find unknown parameter of any similar shape and also apply the concepts in all field of studies: Construction, Cryptographer, Actuary, Astronomy, Physical Science, Biological Science, Astrophysics, etc….
The Art Pastor's Guide to Sabbath | Steve ThomasonSteve Thomason
What is the purpose of the Sabbath Law in the Torah. It is interesting to compare how the context of the law shifts from Exodus to Deuteronomy. Who gets to rest, and why?
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
2. Proportion
• A proportion is two ratios that are
equal to each other
• You are allowed to cross-multiply
the two ratios cancel out the
fractions
3. Can you switch around a proportion?
•If you switch things diagonally, they will
still give you the same product when you
cross-multiply
•You can also add the denominator of each
ratio to the numerator and have them still be
equal:
a c a+b c+d
= ......... =
b d b d
4. Geometric Mean
•This is the value that is diagonal from itself
in a proportion with two positive numbers:
4 x
=
x 9
•So the geometric mean of 4 and 9 would be
6 since it is the square root of 36.
