Answer: x = 12
midsegment is 16 units long
bottom side is 32 units long
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Work Shown:
The midsegment 2x-8 is parallel to the bottom side 2x+8
The bottom side is twice as long compared to the midsegment (since the midsegment is half the length of the bottom side).
We can say
bottom side = 2*(midsegment)
2x+8 = 2*(2x-8)
2x+8 = 4x-16
2x-4x = -16-8
-2x = -24
x = -24/(-2)
x = 12
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Extra info:
Now that we know x, we can find the length of those segments
midsegment = 2x-8 = 2*12-8 = 24-8 = 16
bottom side = 2x+8 = 2*12+8 = 24+8 = 32
Note the bottom side (32) is exactly twice as long compared to the midsegment (16). This confirms we have the correct x value.
