Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 11
and check:
x = 5, -3
x² - 15 = 2x
x² - 2x - 15 = 0
(x - 5)(x + 3) = 0
where is the diagram
