Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 7 - Similarity - Chapter Test - Page 483: 5

Answer

$x = 4$

Work Step by Step

In similar figures, corresponding sides are proportional. Each set of corresponding sides has the same ratio. Let's set up a proportion to set the ratios of sides equal to one another: $\frac{2}{x} = \frac{4}{8}$ Use the cross products property to eliminate the fractions: $4x = 16$ Divide each side of the equation by $4$ to solve for $x$: $x = 4$
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