Question

In the figure, the segment is parallel to one side of the triangle. The ratio of x to y is

Answer 1

how do i set up this proportion?

Answer 2

y/12 = 4/16
solve for y

x/(x+9) = 4/16
solve for x

Answer 3

looks like the case of similar triangles
then \[4/16=x/(9+x);1/4=x/(9+x);4=9/x+1;3=9/x;x=9/3=3\]
and \[4/y=16/12;4/y=4/3;y=3\]
x:y=1:1