Question

1. find the value of x if the two triangles are similar.

(x + 2)
45 ft
6 ft
7.5 ft
36.3
38
34
35.7

Explanation:

Step1: Set up proportion for similar triangles

Since the triangles are similar, the ratios of corresponding sides are equal. So, $\frac{x + 2}{6}=\frac{45}{7.5}$.

Step2: Solve the proportion

First, simplify the right - hand side: $\frac{45}{7.5}=6$. Then the equation becomes $x + 2=6\times6$.
Calculate $6\times6 = 36$. So, $x+2 = 36$.
Subtract 2 from both sides: $x=36 - 2=34$.

Answer:

34