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if these two shapes are similar, what is the measure of the missing len…

Question

if these two shapes are similar, what is the measure of the missing length n? 25 mi 15 mi 10 mi n 6 mi 10 mi 12 mi 20 mi

Explanation:

Step1: Set up proportion

Since the two rectangles are similar, the ratios of their corresponding sides are equal. So, \(\frac{15}{25}=\frac{n}{10}\).

Step2: Cross - multiply

Cross - multiplying gives \(15\times10 = 25n\).

Step3: Solve for \(n\)

\(150=25n\), then \(n=\frac{150}{25}=6\).

Answer:

6 mi