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Point V is on the line segment UW. Given VW= x + 7, UW= 3x -9, and UV=8, determine the length of UW

User Pvd
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1 Answer

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We have that the point V is on the line segment UW. This represents a situation similar to this:

In this case, we get that:


UV+VW=UW

Which means that:


8+x+7=3x-9

Clearing out the variable x, we obtain that:


\begin{gathered} 15+x=3x-9 \\ 15+9=3x-x \\ 24=2x \\ (24)/(2)=x \\ 12=x \end{gathered}

Now, we just have to replace the value of x on the equation of UW, and we obtain:


\begin{gathered} UW=3x-9 \\ =3(12)-9 \\ =36-9 \\ =27 \end{gathered}

This means that the value of UW is 27.

Point V is on the line segment UW. Given VW= x + 7, UW= 3x -9, and UV=8, determine-example-1
User Ryandlf
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