SOLUTION: Assume triangle SDF is similar to triangle UVQ. If SD=10, UV=12, FS=x+8, and QU=2x, find FS and QU

Algebra ->  Points-lines-and-rays -> SOLUTION: Assume triangle SDF is similar to triangle UVQ. If SD=10, UV=12, FS=x+8, and QU=2x, find FS and QU      Log On


   

Question 1117722: Assume triangle SDF is similar to triangle UVQ. If SD=10, UV=12, FS=x+8, and QU=2x, find FS and QU
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


SD and UV are corresponding sides, as are SF and QU. So

10%2F12+=+%28x%2B8%29%2F2x
12%28x%2B8%29+=+10%282x%29
12x%2B96+=+20x
96+=+8x
x+=+12

FS is x+8 = 20; QU is 2x = 24.