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

Question

the figures below are similar. use proportions to find the length of n.
5
10
n
4
n = ?

Explanation:

Step1: Set up the proportion

For similar figures, the ratios of corresponding sides are equal. So we have $\frac{n}{5}=\frac{4}{10}$.

Step2: Cross - multiply

$10n = 4\times5$.

Step3: Simplify the right - hand side

$10n=20$.

Step4: Solve for n

$n=\frac{20}{10}=2$.

Answer:

$2$