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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 4.2, Problem 29E
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
3 views

In Exercises 29 to 31, M and N are the midpoints of sides R S ¯ and R T ¯ of ∆ R S T , respectively.

Given: M N = 2 y - 3
S T = 3 y
Find: y , M N , and S T

Chapter 4.2, Problem 29E, In Exercises 29 to 31, M and Nare the midpoints of sides RS and RT ofRST, respectively.

To determine

To find:

y, MN, and ST.

For MN=2y-3

ST=3y

Explanation

Calculation:

Given,

MN=2y-3

ST=3y

M N are the midpoints of sides RS¯ and RT¯ of ∆RST respectively.

A line segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to one-half the length of the third side.

Thus,

MN=12ST

2y-3=12(3y)

Multiply; by 2 on both sides,

22y-2=2·12(3y)

22y-2=3y

Apply, the distributive property of multiplication over subtraction to the left of the equation

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