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 - Exercise Set - Page 541: 71


$5$ units

Work Step by Step

Step 1: Since the triangles are similar, their corresponding sides are in proportion. Step 2: This means that $\frac{x}{3.75}=\frac{12}{9}$. Step 3: Solving through cross multiplication: $9x=12\times3.75$. Step 4: $9x=45$. Step 5: $x=\frac{45}{9}=5$ units. Check: Step 1: Equating the two proportions to see if they reduce to the same fraction: $\frac{5}{3.75}=\frac{12}{9}$. Step 4: $\frac{4}{3}=\frac{4}{3}$. Step 5: Therefore, the answer is accurate.
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