Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
The value of x will be found using the following equivalent ratios:
[tex]11 : 121 = 10 : 5x + 10[/tex]
Convert to fraction
[tex]\frac{11}{121} = \frac{10}{5x + 10}[/tex]
Factorize:
[tex]\frac{11}{121} = \frac{5*2}{5(x + 2)}[/tex]
Simplify
[tex]\frac{1}{11} = \frac{2}{x + 2}[/tex]
Cross Multiply
[tex]1 * (x + 2) = 2 * 11[/tex]
[tex]x + 2 = 22[/tex]
Collect Like Terms
[tex]x = 22-2[/tex]
[tex]x = 20[/tex]
