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: 2

Answer

$x = \frac{1}{4}$

Work Step by Step

First, we use the cross products property to eliminate the fractions: $16(x + 2) = 36$ Use the distributive property on the left side of the equation: $16x + 32 = 36$ Subtract $32$ from each side of the equation to move constants to the right side of the equation: $16x = 4$ Divide both sides by $4$ to solve for $x$: $x = \frac{4}{16}$ Simplify the fraction by dividing both the numerator and denominator by their greatest common factor: $x = \frac{1}{4}$
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