Question

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

Explanation:

Step1: Set up the proportion

Since the figures are similar, the ratios of corresponding sides are equal. So, we have the proportion $\frac{2}{5}=\frac{6}{n}$.

Step2: Cross - multiply

Cross - multiplying gives $2n = 5\times6$.

Step3: Simplify the right - hand side

$5\times6 = 30$, so the equation becomes $2n=30$.

Step4: Solve for \(n\)

Divide both sides of the equation by 2: $n=\frac{30}{2}$.

Answer:

$n = 15$