Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - Common Core Cumulative Standards Review - Selected Response - Page 159: 9

Answer

C. x=11.667 (about 12)

Work Step by Step

The problem states that the two triangles are similar triangles. This means that all of the sides are proportional. We will call x the side that we want to find. Thus, we set up the equation: x/5=7/3. We multiply both sides of the equation by 5 to cancel out division and to obtain that x=11.667.
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