Algebra 1: Common Core (15th Edition)

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

Chapter 2 - Solving Equations - 2-8 Proportions and Similar Figures - Practice and Problem-Solving Exercises - Page 134: 10

Answer

z=52.5

Work Step by Step

The problem states that the two shapes are similar. This means that all of the sides are proportional. To portray this relationship, we set up the proportion: $z/35=42/28$. We multiply both sides of the equation by 35 to obtain that $z=52.5$.
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