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posledela
4 years ago
8

Point V lies between points U and W on .

Mathematics
2 answers:
antoniya [11.8K]4 years ago
8 0

Answer:

36 units

Step-by-step explanation:

From the diagram |UW|=|UV|+|VW|

We the expressions in terms of x to get:

9x - 9 =( 2x - 4 )+ (4x + 10)

We group the similar terms to get:

9x - 2x - 4x =  - 4 + 10 + 9

3x = 15

Divide both sides by 3

\frac{3x}{3}  =  \frac{15}{3}

x = 5

\implies \:  |UW|  = 9(5) - 9 = 45 - 9 = 36

katrin [286]4 years ago
3 0
<h2>Answer:</h2>

The length of UW in units is:

                  36 units.

<h2>Step-by-step explanation:</h2>

It is given that:

Point V lies between points U and W on.

This means that the length of the line segment UW is equal to the sum of the length of the line segment UV and VW.

i.e.

   UW=UV+VW

i.e.

    9x-9=2x-4+4x+10

on combining the like terms in the right hand side of the expression we have:

          9x-9=2x+4x-4+10\\\\9x-9=6x+6

Now on combining the like terms we have:

9x-6x=6+9\\\\i.e.\\\\3x=15\\\\x=\dfrac{15}{3}\\\\x=5

Hence,

UW=9\times 5-9\\\\i.e.\\\\UW=9(5-1)\\\\i.e.\\\\UW=9\times 4\\\\UW=36

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