Question

If XY = t, WZ = -t + 35, and UV = t + 10, what is the value of t?

U
t
N
V
Y
W
X

Answer 1

t = 15

Explanation:

the midsegment WZ of a trapezoid is half the sum of the parallel bases

WZ=
`(XY+UV)/(2)` ← substitute values

- t + 35 =
`(t+t+10)/(2)`

- t + 35 =
`(2t+10)/(2)` = t + 5 ( add t to both sides )

35 = 2t + 5 ( subtract 5 from both sides )

30 = 2t ( divide both sides by 2 )

15 = t