If UV = 13, VW = 3x − 5, and UW = 5x − 18, what is UW? Simplify your answer and write it as a proper fraction, mixed number, or integer. I got stuck here. If you could (or not) type step by step.

Since UV and VW make up UW, we can set add together UV and VW and set them equal to UW.

5x - 18 = 13 + 3x - 5

Let's combine like terms on the right side.

5x - 18 = 3x + 8

Subtract 3x from both sides and add 18 to both sides.

2x = 26

Divide both sides by 2

x = 13

We know that UW = 5x - 18. Let's plug 13 in for x.

UW = 5(13) - 18 = 65 - 18 = 47.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.