Question 907688: <-W-----X-------Y-----------Z->
In the figure above, V, W, X, Y and Z represent points on a number line. If VW=WX=XY=YZ=3, W+Z=0 then V is
a.-7.5
b.-4.5
c.-1.5
d.1.5
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
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V | | W | | X | | Y | | Z
? ? ? ? ?
Since W+Z = 0, Z=-W. Z is the negative (opposite) of Z.
So Z must be as far to the right of 0 as Z is to the left
of 0. That is, 0 must be at the midpoint between W and Z.
We put 0 at the midpoint between W and Z, and we have
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V | | W | | X | 0 | Y | | Z
? ? ? 0 ? ?
Since W and Z are 9 units apart, and half of 9 is 4.5,
W must be at -4.5 and Z at +4.5. So we have
_________________________________________________
V | | W | | X | 0 | Y | | Z
? -4.5 ? 0 ? 4.5
Then we can fill in for the other question marks, since
they are all spaced 3 between each two adjacent letters:
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V | | W | | X | 0 | Y | | Z
-7.5 -4.5 -1.5 0 1.5 4.5
The answer is -7.5, choice a.
Edwin
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