Respuesta :

Answer:

D. 8.57

Step-by-step explanation:

Okay I'm not sure if I do these problems correctly, but I always get the right answer.

7/11 = 0.6363...

15/0.6363... = 23.5714...

23.5714...- 15 = 8.57

The value of x would be option D.) 8.57

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

Triangles ABC and DEF are similar.

The ratio would be

DE / AB = DF / AC

We know that

15 / 15 + x  = 7 / 11

So,

7/11 = 0.6363

15 / 15 + x  = 0.6363

By cross multiplication;

15/0.6363 = 15 + x

23.5714 = 15 + x

x = 23.5714 - 15

x = 8.57

Learn more about ratio here:

brainly.com/question/186659

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