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BlackZzzverrR [31]
3 years ago
12

4. If TV = 14x - 8, find TU. 9x+2 5

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0

<u><em>Answer:</em></u>

x = 3

<u><em>Explanation:</em></u>

The complete question is shown in the attached diagram

<u>Collinear points</u> are defined as points that lie on the same straight line

Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line

Now, we are given that point U is between points T and V

This would mean that the length of segment TV can be written as the sum of the segments TU and UV

<u>Therefore:</u>

TV = TU + UV

<u>We are given that:</u>

TV = 14x - 8

TU = 9x + 2

UV = 5

<u>Substitute with the givens in the above mentioned equation and solve for x as follows:</u>

TV = TU + UV

14x - 8 = 9x + 2 + 5

14x - 8 = 9x + 7

14x - 9x = 7 + 8

5x = 15

x = 3

Hope this helps :)

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