Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-3 Measuring Segments - Practice and Problem-Solving Exercises - Page 24: 22

Answer

130

Work Step by Step

Because of the tick marks, we know that PT=TQ. So, we can set their algebraic values equal to each other. That gives $PT=TQ \rightarrow 7x-24=6x-2 \rightarrow x=22$ The question asks for PT, so we substitute 22 back into the equation of PT, which is $7x-24$. $7(22)-24=154-24=130.$
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