Answer:
AB = 10 units, and BC = 28 units
Step-by-step explanation:
Segments AB and DC are equal to each other, so we can set both equations equivalent to each other on opposite sides of an equation.
3y - 2 = y + 6
3y = y + 8
2y = 8
y = 4
Now we can plug in our y variable (4) into one of the segments equations; either AB's or DC's.
3y - 2
3(4) - 2
12 - 2
10
Segments AB and DC = 10
We can do the same thing with segments AD and BC.
2x - 4 = x + 12
2x = x +16
x = 16
Now we can plug in out x variable (16) into one of the segments equations; either AD's or BC's.
2x - 4
2(16) - 4
32 - 4
28
Thus, both segments AD and BC are 28 units long.
Our answer would be AB = 10 units, and BC = 28 units.
