106k views
5 votes
Solve for x. The triangles in each pair are similar.


Solve for x. The triangles in each pair are similar. ​-example-1
User Agchou
by
5.5k points

1 Answer

5 votes

Answer:

Explanation:

Triangle TML is similar to triangle TVU. Side TV measures 36 and side TM meaures 9; side TV is 4 times longer than side TM. Same with sides VU and ML. VU is 4 times longer than ML. That means that side TU is 4 times longer than side TL. Side TL measures x - 4; side TU measures 24 + x - 4 which is x + 20. That means that x + 20 = 4(x - 4) and x + 20 = 4x - 16 and

3x = 36 so

x = 12

User Cohars
by
5.6k points