Question

4. What is the value of x? Show your work!
TUV ~ABC

Answer 1

x = 8

Explanation:

We can see that in the picture that they are similar triangles and that CA is four times VT, so that means that all the sides in triangle TUV are four times those in triangle ABC. We now know that TU is four times AB, and 8 times 4 is 32, so we can say that 5x - 8 = 32. Now, we can add by 8 on both sides to get that 5x = 40. Now, we divide by five on both sides to get that x = 8.