Point V is on the line segment UW. Given VW=5x-4, UV=2x, and UW=5x, determine the numerical length of VW

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22-10-2021
Mathematics

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Point V is on the line segment UW. Given VW=5x-4, UV=2x, and UW=5x, determine the numerical length of VW

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BroMathMakesNoSense BroMathMakesNoSense · Answer 1 · 2021-10-22T00:40:05+02:00

BroMathMakesNoSense BroMathMakesNoSense

22-10-2021

So UV+VW=UW
Or 2x+5x-4=5x
So 7x-4=5x
This means that x is generally a low amount as x has to be less than 3 (as 3x7, 21-4=17 and 3x5=15.)
I then tried to input 2 and got 14-4=10 which is correct.
So x=2
We then input x=2 into 5x-4 for the answer.

5(2)-4
10-4
6

The final answer is 6

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