Answered

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

Triangle ABC Is Similar To Triangle DEF What Is The Value Of X class=

Sagot :

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

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