Question

X =
ML =
M
N
J 6x + 2 K
25
4x - 2
P
H
L

Answer 1

x = 5 , ML = 18

Explanation:

the midsegment NP of the trapezoid is half the sum of the bases, that is

NP =
`(JK+ML)/(2)`

25 =
`(4x-2+6x+2)/(2)` ( multiply both sides by 2 to clear the fraction )

50 = 10x ( divide both sides by 10 )

5 = x

Then

ML = 4x - 2 = 4(5) - 2 = 20 - 2 = 18