Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 6: Q9. (page 207)

Complete the proof $m 鈭� R O T > m 鈭� S O V$ if given is $m 鈭� R O S > m 鈭� T O V$ .

Short Answer

Expert verified

Statement	Reason
$m 鈭� R O S = m 鈭� R O T 鈭� m 鈭� S O T$	From the property of inequality.
$m 鈭� R O S > m 鈭� T O V$	Substitution property
$m 鈭� R O T > m 鈭� S O V$	Property of inequality.

If $m 鈭� R O S > m 鈭� T O V$ then by the use of the property of inequality $m 鈭� R O T > m 鈭� S O V$ .

Step by step solution

Step 1. Property of inequality

If $a > b$ and $c 鈮� d$ then $a + c > b + d$ .

Step 2. Show that angle addition postulate

From figure $m 鈭� R O T = m 鈭� R O S + m 鈭� S O T$ and $m 鈭� S O V = m 鈭� T O V + m 鈭� S O T$ .

鈥� Prove that m M

Proof:

Since $m 鈭� R O T = m 鈭� R O S + m 鈭� S O T$ and $m 鈭� S O V = m 鈭� T O V + m 鈭� S O T$

$m 鈭� R O S = m 鈭� R O T 鈭� m 鈭� S O T$	From the property of inequality.
$m 鈭� R O S > m 鈭� T O V$	Substitution property
$m 鈭� R O T > m 鈭� S O V$	Property of inequality.

Hence proved $m 鈭� R O T > m 鈭� S O V$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Complete the proof $m 鈭� R O T > m 鈭� S O V$ if given is $m 鈭� R O S > m 鈭� T O V$ .

Short Answer

Step by step solution

Step 1. Property of inequality

Step 2. Show that angle addition postulate

鈥� Prove that m M

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Mechanics Maths

Probability and Statistics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

Complete the proof m鈭�ROT>m鈭�SOVif given is m鈭�ROS>m鈭�TOV.

Short Answer

Step by step solution

Step 1. Property of inequality

Step 2. Show that angle addition postulate

鈥� Prove that m M

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Mechanics Maths

Probability and Statistics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Complete the proof $m 鈭� R O T > m 鈭� S O V$ if given is $m 鈭� R O S > m 鈭� T O V$ .