Answer:
x = 20
Step-by-step explanation:
given a line parallel to a side of a triangle and intersecting the other two sides, then it divides those sides proportionally , that is
[tex]\frac{10}{5x+10}[/tex] = [tex]\frac{11}{121}[/tex] = [tex]\frac{1}{11}[/tex] ( cross- multiply )
5x + 10 = 110 ( subtract 10 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
