Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 4 - Test - Page 216: 10

Answer

$x=23$

Work Step by Step

$MN$ is the mid-segment of $\triangle ABC$. Therefore... $MN= \frac{1}{2} BC$ Substitute in known values... $(3x-11)= \frac{1}{2} (4x+24)$ Simplify the right side... $3x-11=2x+12$ Subtract $2x$ from both sides... $x-11=12$ Add eleven to both sides $x=23$
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