Question

Please help math homeowke please and Tysm

Answer 1

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: brainly.com/question/25727583

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