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the figures below are similar. use proportions to find the length of m.…

Question

the figures below are similar. use proportions to find the length of m. 10 15 m 6 m = ?

Explanation:

Step1: Set up proportion

For similar figures, the ratios of corresponding sides are equal. So we have the proportion $\frac{10}{m}=\frac{15}{6}$.

Step2: Cross - multiply

Cross - multiplying gives us $15\times m = 10\times6$.

Step3: Solve for m

$15m=60$, then $m=\frac{60}{15}$.

Step4: Calculate value of m

$m = 4$.

Answer:

4