Answer:
x = 20
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other two sides then it divides those sides proportionally.
This is the case here thus
[tex]\frac{11}{121}[/tex] = [tex]\frac{10}{5x + 10}[/tex] ( cross- multiply )
11(5x + 10) = 1210
55x + 110 = 1210 ( subtract 110 from both sides )
55x = 1100 ( divide both sides by 55 )
x = 20
