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.
[tex]\frac{11}{11+121}=\frac{10}{10+5x+10} \\\\\frac{11}{132} = \frac{10}{5x + 20}[/tex]
To solve cross multiply the numerator and denominator of each fraction.
11(5x+20) = 132(10)
55x + 220 = 1320
55x = 1,100
x = 20
