Question

find x.
write your answer as a whole number or a decimal. do not round.
x = centimeters

Explanation:

Step1: Use the similarity of triangles

Since the two triangles are similar (by AA similarity, as they have right angles and share an angle), the ratios of their corresponding sides are equal.
$$\frac{4}{4 + 2}=\frac{x}{8}$$

Step2: Solve the proportion for \(x\)

Cross - multiply: \(4\times8=(4 + 2)x\), which simplifies to \(32 = 6x\). Then \(x=\frac{32}{6}=\frac{16}{3}\approx5.33\)

Answer:

\(x = 5.33\)