Question

if these two shapes are similar, what is the measure of the missing length r?
r = kilometers

Explanation:

Step1: Set up the proportion

Since the two shapes are similar, the ratios of their corresponding sides are equal. So, \(\frac{6}{r}=\frac{18}{30}\).

Step2: Cross - multiply

Cross - multiplying gives \(18r = 6\times30\).

Step3: Simplify the right - hand side

\(6\times30=180\), so the equation becomes \(18r = 180\).

Step4: Solve for \(r\)

Divide both sides by 18: \(r=\frac{180}{18}\).

Answer:

\(10\)