Question

Please explain how you got the awnser so I can understand more (and it ask for show work)​

Answer 1

`x = \boxed{9} \\ WU=\boxed{18}`

Explanation:

It's super easy. Segment WY is equal to the sum of WU and UY segment. That being said,

`\bf\overline{WY}=\overline{WU}+\overline{UY}`

Here,

• WY=32
• WU=2x
• UY=14

So simply substitute the given values of WY,WU and UY, set a equation and just solve for X . Which is done below.

`2x + 14 = 32 \\ \implies 2x = 18 \\ \implies \boxed{x = 9}`

We already know that WU=2x , hence plugging in 9 for x simplifies to 2*9=18 . Therefore the length of
`\overline{WU}` is 18