Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Review: 58


$x=6$ units

Work Step by Step

Step 1: Since the triangles are similar, their corresponding sides are in proportion. Step 2: This means that $\frac{12}{4}=\frac{18}{x}$. Step 3: Solving through cross multiplication, $12x=4\times18$. Step 4: $12x=72$ Step 5: $x=6$ units. Check: Step 1: Equating the two proportions to see if they reduce to the same fraction, $\frac{12}{4}=\frac{18}{6}$. Step 2: Simplifying both sides, $\frac{3}{1}=\frac{3}{1}$. Step 3: Therefore, the answer is accurate.
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