Question

Triangle ABC is similar to triangle DEF. What is the value of x ?

Answer 1

Answer:

A

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{AC}{DF}$ = $\frac{BC}{EF}$ , substitute values

$\frac{45}{x+8}$ = $\frac{30}{25}$ ( cross- multiply )

30(x + 8) = 1125 ( divide both sides by 30 )

x + 8 = 37.5 ( subtract 8 from both sides )

x = 29.5 → A