Question

Point V lies between points U and W on UW.

If UW = 9x – 9, what is UW in units?

5 units
6 units
30 units
36 units

Answer 1

its 36 units
hope this helps :)))))

Answer 2

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*5-9=45-9=36~\textup{units}.`

Thus, the length of UW is 36 units.

Option (D) is correct.