Question

if these two shapes are similar, what is the measure of the missing length x?
9 cm
33 cm
15 cm
x
x = centimeters
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Explanation:

Step1: Set up proportion for similar shapes

Since the shapes are similar, the ratios of corresponding sides are equal. So, $\frac{9}{15}=\frac{33}{x}$.

Step2: Cross - multiply to solve for x

Cross - multiplying gives $9x = 15\times33$. First, calculate $15\times33 = 495$. Then, solve for x: $x=\frac{495}{9}=55$.

Answer:

55