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GrogVix [38]
3 years ago
7

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

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

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

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