Question

What is the value of x?



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x =

Answer 1

x = 20

Explanation:

To find the value of x, write a proportion between the two similar triangles.

A proportion is an equation of equal ratios.

`(11)/(11+121)=(10)/(10+5x+10)  \\\\(11)/(132) = (10)/(5x + 20)`

To solve cross multiply the numerator and denominator of each fraction.

11(5x+20) = 132(10)

55x + 220 = 1320

55x = 1,100

x = 20