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In trapezoid RTUW, V is the midpoint of segment UW, and S is the midpoint of segment RT. Find UT.

5

27

40

53

In trapezoid RTUW V is the midpoint of segment UW and S is the midpoint of segment RT Find UT 5 27 40 53 class=

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MissPhiladelphia
The line VS is middle line of that trapezoid, so you know that it is

VS= (WR+UT)/2

so we will get that it is: 

40= (x^2+2 +2x^2+3)/2
x = 5

Therefore, 

x^2 + 2 
5^2 + 2
25 +2
27 <----- OPTION 2

Hope this answers the question.

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