   Chapter 4.4, Problem 25E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In the figure, a | | b | | c and B is the midpoint of A C ¯ . If A B = 2 x + 3 , B C = x + 7 and D E = 3 x + 2 , Find the length of E F ¯ . Exercises 25, 26

To determine

To Find:

The length of EF¯.

Explanation

The given diagram is

Given: a||b||c and B is the midpoint of AC¯.

Also, AB=2x+3, BC=x+7 and DE=3x+2.

We know that, when three or more parallel lines intercept congruent line segments on one transversal, then they intercept congruent line segments on any transversal.

Therefore, ABBCandDEEF

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