Question

What is the value of x? Enter your answer in the box. x =

Answer 1

Answer:

x = 20

Step-by-step explanation:

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

A proportion is an equation of equal ratios.

$\frac{11}{11+121}=\frac{10}{10+5x+10} \\\\\frac{11}{132} = \frac{10}{5x + 20}$

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

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

55x + 220 = 1320

55x = 1,100

x = 20