Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - Chapter Review - Page 72: 15


XY=21 YZ=29

Work Step by Step

Use the Segment Addition Postulate to find the value of a. $XY+YZ=XZ$ substitute $a+(a+8)=50$ combine like terms $2a+8=50$ subtract 8 from each side $2a+8-8=50-8$ simplify $2a=42$ divide each side by 2 $2a\div2=42\div2$ $a=21$ Use the value of a to find the segment lengths. $XY=a=21$ $YZ=a+8=21+8=29$
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