Question

part 1
the shapes are similar but not in the same position. create a proportion to solve for x:
part 2
solve the proportion and find the measure of x.
\\( \frac { 20 } { 4 } = \frac { x } { 3 } \\)
\\( x = 15 \\)

Explanation:

Step1: Set up the proportion

Since the shapes are similar, the ratios of corresponding sides are equal. So, \(\frac{20}{4}=\frac{x}{3}\).

Step2: Cross - multiply

Cross - multiplying gives \(4x = 20\times3\).

Step3: Simplify the right - hand side

\(20\times3 = 60\), so the equation becomes \(4x=60\).

Step4: Solve for \(x\)

Divide both sides by 4: \(x=\frac{60}{4}\).

Answer:

\(x = 15\)