Question

1. solve for x. *

*the two as are similar.
21
14

Explanation:

Step1: Use the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal. So, \(\frac{x}{8}=\frac{21 + 14}{14}\)

Step2: Simplify the right - hand side

First, calculate \(21+14 = 35\). Then \(\frac{35}{14}=\frac{5}{2}\)

Step3: Solve for \(x\)

Cross - multiply: \(14x=8\times35\), \(14x = 280\), \(x=\frac{280}{14}=20\)

Answer:

\(20\)