Answer: x=20 and y=7
Explanation:
Notice the placement of the given similarity. It says that ΔQRS ~ ΔTUV. That means ∠Q and ∠T are corresponding, ∠R and ∠U are corresponding, and ∠S and ∠V are corresponding.
If we look at the corresponding angles, we see that 5 corresponds with 25. In similar triangles, we have the same ratio of the side lengths. I can tell that the ratio is 5 because 5x5=25.
This means yx5=35 and 4x5=x.
Therefore, x=20 and y=7.