Question

What is the value of x? enter your answer in the box x= ​

Answer 1

Answer:

$x = 20$

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The value of x will be found using the following equivalent ratios:

$11 : 121 = 10 : 5x + 10$

Convert to fraction

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

Factorize:

$\frac{11}{121} = \frac{5*2}{5(x + 2)}$

Simplify

$\frac{1}{11} = \frac{2}{x + 2}$

Cross Multiply

$1 * (x + 2) = 2 * 11$

$x + 2 = 22$

Collect Like Terms

$x = 22-2$

$x = 20$