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Point F is on line segment \overline{EG}
EG
. Given FG=5x+1,FG=5x+1, EG=5x+7,EG=5x+7, and EF=2x-2,EF=2x−2, determine the numerical length of \overline{EF}.
EF

Respuesta :

Answer:

6 units

Step-by-step explanation:

The segment addition postulate states that if we are given two points on a line segment, E and G, a third point F lies on the line segment EG if and only if the distances between the points meet the requirements of the equation

EF + FG = EG        (*)

In your case,

EF = 2x-2 units,

FG = 5x+1 units,

EG = 5x+7 units.

Substitute it into the equality (*)

Now, the length EF is equal to

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