A line segment can have one or more points on it. The numerical length of FG is 4
Given that:
[tex]FG = 3x - 5[/tex]
[tex]EF = x[/tex]
[tex]EG = 5x - 8[/tex]
Because point F is on EG, then:
[tex]EG = EF + FG[/tex]
So, we have:
[tex]5x - 8 = x + 3x - 5[/tex]
[tex]5x - 8 = 4x - 5[/tex]
Collect like terms
[tex]5x - 4x = 8 - 5[/tex]
[tex]x =3[/tex]
Recall that:
[tex]FG = 3x - 5[/tex]
Substitute [tex]x =3[/tex]
[tex]FG = 3 \times 3 - 5[/tex]
[tex]FG = 9 - 5[/tex]
[tex]FG = 4[/tex]
Hence, the numerical length of FG is 4
Read more about line segments at:
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