Question

the figures below are similar. use proportions to find the length of n. 3 7 6 n n = ?

Explanation:

Step1: Set up proportion

Since the figures are similar, the ratios of corresponding sides are equal. So we have $\frac{3}{6}=\frac{7}{n}$.

Step2: Cross - multiply

Cross - multiplying gives us $3n = 6\times7$.

Step3: Simplify right - hand side

$6\times7 = 42$, so $3n=42$.

Step4: Solve for n

Dividing both sides by 3, we get $n=\frac{42}{3}$.

Answer:

$n = 14$