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

Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{DF}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{45}{x+8}[/tex] = [tex]\frac{30}{25}[/tex] ( cross- multiply )
30(x + 8) = 1125 ( divide both sides by 30 )
x + 8 = 37.5 ( subtract 8 from both sides )
x = 29.5 → A