SOLUTION: I and V is between line GE and I is nearer to G. I is the midpoint of line GV and V is the midpoint of line IE. If the coordinates of G and E are -15 and 20, respectively, what is

Question 1088079: I and V is between line GE and I is nearer to G. I is the midpoint of line GV and V is the midpoint of line IE. If the coordinates of G and E are -15 and 20, respectively, what is the measure of IE?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Points I and V are on line segment GE,
with I nearer to G.
The coordinates of G and E are -15 and 20, respectively.
So far, it looks like this:
.
(So far we do not know the distances between those points,
but we know that their labels read "GIVE").
We also know that
I is the midpoint of line segment GV,
meaning that , and
V is the midpoint of line segment IE,
meaning that .
Putting it all together .
So, ,
but in coordinate units, the distance GE is ,
so --> .
Then, .
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