Answer: x = 6
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Step-by-step explanation:
UV is the midsegment, so it's parallel to ST and it's half as long
Phrased another way: ST is twice as long compared to UV
ST = 2*UV
8x-28 = 2*(2x-2)
8x-28 = 4x-4
8x-4x = -4+28
4x = 24
x = 24/4
x = 6
We can now find the length of each segment mentioned.
- ST = 8x - 28 = 8*6 - 28 = 20
- UV = 2x-2 = 2*6-2 = 10
This shows UV is half as long compared to ST, or ST is twice as long compared to UV. This confirms our answer.