Geometry: Common Core (15th Edition)

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

Chapter 2 - Reasoning and Proof - Common Core Cumulative Standards Review - Selected Response: 16

Answer

$x=45$

Work Step by Step

$\frac{x}{3}+5=2x-70\longrightarrow$ vertical angles theorem $\frac{x}{3}+75=2x\longrightarrow$ addition property of equality $75=\frac{5}{3}x\longrightarrow$ subtraction property of equality $(75)(\frac{3}{5})=(\frac{5}{3}x)(\frac{3}{5})\longrightarrow$ multiplication property of equality $45=x$
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