Question

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

Answer 1

`x = 20`

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

`(11)/(121) = (10)/(5x + 10)`

Factorize:

`(11)/(121) = (5*2)/(5(x + 2))`

Simplify

`(1)/(11) = (2)/(x + 2)`

Cross Multiply

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

`x + 2 = 22`

Collect Like Terms

`x = 22-2`

`x = 20`