Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Review: 76

Answer

$x=12$ units

Work Step by Step

Step 1: Since the triangles are similar, their corresponding sides are in proportion. Step 2: This means that $\frac{6}{18}=\frac{4}{x}$. Step 3: Solving through cross multiplication, $6x=18\times4$. Step 4: $6x=72$. Step 5: $x=12$ units. Check: Step 1: Equating the two proportions to see if they reduce to the same fraction, $\frac{6}{18}=\frac{4}{12}$. Step 2: Simplifying both sides, $\frac{1}{3}=\frac{1}{3}$. Step 3: Therefore, the answer is accurate.
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