Answer: 4
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Step-by-step explanation:
Assuming points T, U, and V are all on the same straight line, then we can say the following:
TU + UV = TV
(4x) + (x+2) = 7
5x+2 = 7
5x = 7-2
5x = 5
x = 5/5
x = 1
Now we can determine the length of each piece.
- TU = 4x = 4*1 = 4
- UV = x+2 = 1+2 = 3
as a check: TU + UV = 4+3 = 7 which matches perfectly with TV = 7. The answer is confirmed.
Once again, this assumes that points T, U, and V are collinear (i.e. on the same straight line). It also assumes that U is between T and V.