Answer:

Step-by-step explanation:
<em>See attachment for complete question</em>
Given



Required
Determine the length of VW
Perimeter is calculated as:

This gives:

Substitute values for VW, VY and Perimeter

Collect Like Terms


Divide through by 2

Collect Like Terms




Substitute 6 for x in 



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First, set 2x+7 equal to 3x-7 since they are the same angle due to the parallel lines.
2x+7=3x-7
x=14
Then, since 2x+7 and 12y+1 equals 180, put it together to find y:
(2x+7)+(12y+1)=180
(2(14)+7)+(12y+1)=180
12y+1=145
12y=144
y=12
So, x=14 and y=12. Your answer should be C!
Rounding 2 SF would give you 19