Answer:
UW = 67
Explanation:
In order to find UW, we need to add UV and VW because them together makes the entire line, also known in this problem as UW. This is our equation:
UV + UV = UW
This is the equation if you plug the numbers:
19 + 4x - 20 = 6x - 35
Combine like terms to make it easier to do the math:
4x - 1 = 6x - 35
Then do the math:
(4x - 4x) -1 = (6x - 4x) - 35
-1 = 2x - 35
(-1 + 35) = 2x (- 35 + 35)
34 = 2x
34/2 = 2x/2
x = 17
Then you plug in x for the UW expression:
6x - 35
6(17) - 35
102 - 35
67
UW = 67