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Point F is on line segment \overline{EG}

EG

. Given FG=3x-5,FG=3x−5, EF=x,EF=x, and EG=5x-8,EG=5x−8, determine the numerical length of \overline{FG}.

FG

.

Respuesta :

Answer:

4 Units

Step-by-step explanation:

EF=x

FG=3x-5

EG=5x−8

Since F is on line segment [tex]\overline{EG}[/tex]

EG=EF+FG

5x−8=x+3x-5

5x-8=4x-5

Collect like terms

5x-4x=-5+8

x=3 Units

Therefore:

[tex]\overline{FG}=3x-5\\=3(3)-5\\=9-5\\$=4 Units[/tex]

MLSease09

Answer: EF=6

Step-by-step explanation:

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