SOLUTION: Find the lengths x and y. Pic: http://imgur.com/a/qyz1R X=________ Y=________ Thanks in advance!

Algebra ->  Triangles -> SOLUTION: Find the lengths x and y. Pic: http://imgur.com/a/qyz1R X=________ Y=________ Thanks in advance!      Log On


   

Question 1041680: Find the lengths x and y.
Pic: http://imgur.com/a/qyz1R
X=________

Y=________

Thanks in advance!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Similar triangles:
50%2Fy=90%2F%28y%2B52%29=%2890%2Bx%29%2F%28y%2B52%2B39%29
First solve for y.
50%2Fy=90%2F%28y%2B52%29
50%28y%2B52%29=90y
50y%2B2600=90y
40y=2600
y=65
Then,
50%2F65=%2890%2Bx%29%2F%2865%2B52%2B39%29
%2850%2F65%29156=x%2B90
x%2B90=120
x=30