Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Practice - Page 531: 4


$20$ units

Work Step by Step

Step 1: Since the triangles are similar, their corresponding sides are in proportion. Step 2: This means that $\frac{9}{15}=\frac{12}{x}$. Step 3: Solving through cross multiplication: $9x=15\times12$. Step 4: $9x=180$ Step 5: $x=20$ units Check: Step 1: Equating the two proportions to see if they reduce to the same fraction: $\frac{9}{15}=\frac{12}{20}$ Step 2: Simplifying both sides: $\frac{3}{5}=\frac{3}{5}$ Step 3: Therefore, the answer is accurate.
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