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3 years ago

Point V lies between points U and W on UW.

Mathematics

2 answers:

iren [92.7K]3 years ago

6 0

Answer: The correct option is (D) 36 units.

Step-by-step explanation: Given that point V lies between points U and W on UW, where

$UV=2x-4,~~VW=4x+10~~~\textup{and}~~~UW=9x-9.$

We are to find the length of UW in units.

Since point V lies on the line segment UW, so we must have

$UV+VW=UW\\\\\Rightarrow (2x-4)+(4x+10)=9x-9\\\\\Rightarrow 6x+6=9x-9\\\\\Rightarrow 9x-6x=6+9\\\\\Rightarrow 3x=15\\\\\Rightarrow x=5.$

Therefore, the length of UW is

$UW=9x-9=9\times5-9=45-9=36~\textup{units}.$

Thus, the length of UW is 36 units.

Option (D) is correct.

Arisa [49]3 years ago

3 0

Its 36 units
hope this helps :)))))

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