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2 years ago

Please help math homeowke please and Tysm

Mathematics

1 answer:

12345 [234]2 years ago

6 0

The length of the line segment TV is 30.

<h3>How to find the segment length by solving linear equations</h3>

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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