Question

bonus problems!!! (extra points if you get it right) 2 pts each

1. solve for x. set up your similarity ratio.
2. x = _

Explanation:

Step1: Set up the similarity ratio

Since the triangles are similar, the ratio of corresponding sides is equal. We have \(\frac{4}{4 + 12}=\frac{x}{20}\)

Step2: Simplify the left - hand side of the equation

\(\frac{4}{16}=\frac{x}{20}\), which simplifies to \(\frac{1}{4}=\frac{x}{20}\)

Step3: Solve for \(x\)

Cross - multiply: \(4x=20\), then \(x = 5\)

Answer:

\(x = 5\)