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Question
if these two shapes are similar, what is the measure of the missing length g?
g = centimeters
Step1: Use the property of similar shapes
For similar shapes, the ratios of corresponding sides are equal. So, we have the proportion $\frac{28}{36}=\frac{35}{g}$.
Step2: Cross - multiply
Cross - multiplying gives $28g = 35\times36$.
Step3: Solve for \(g\)
First, calculate $35\times36 = 1260$. Then, $g=\frac{1260}{28}$.
Since $1260\div28 = 45$.
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\(45\)