Question

11. Find the length of the midsegment of the trapezoid.

T
x+3 U
0.5x+7
X+7
W
12. Solve for X.
L
M
110
N


guys please help me

Answer 1

midsegment = 9 units

Explanation:

the midsegment of a trapezoid is half the sum of the parallel sides, that is

midsegment =
`(TU+VW)/(2)` ( substitute values )

0.5x + 7 =
`(x+3+x+7)/(2)` =
`(2x+10)/(2)` = x + 5 , then

0.5x + 7 = x + 5 ( subtract 0.5x from both sides )

7 = 0.5x + 5 ( subtract 5 from both sides )

2 = 0.5x ( divide both sides by 0.5 )

4 = x

Then

midsegment = 0.5x + 7 = 0.5(4) + 7 = 2 + 7 = 9 units