The length of the line segment TV is 30.
How to find the segment length by solving linear equations
In this problem we have a geometrical system formed by two collinear line segments (TU, UV). Mathematically speaking, the geometrical system is described by the following equations:
TV = TU + UV (1)
TU = 25 (2)
UV = 2 · x + 15 (3)
TV = x + 35 (4)
By (1), (2), (3) and (4):
x + 35 = 25 + (2 · x + 15)
x + 35 = 2 · x + 40
35 - 40 = 2 · x - x
- 5 = x
x = - 5
Lastly, we evaluate (4) at x = - 5 and find the length of the line segment TV is:
TV = - 5 + 35
TV = 30
The length of the line segment TV is 30.
To learn more on line segments: https://brainly.com/question/25727583
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