Answer:
EG is 13.
Step-by-step explanation:
So we have a line segment EG.
Point F is somewhere on EG.
And we are given that FG is 4 and EF is 9.
Therefore, the length of EG will be the combined lengths of FG and EF. In other words:
[tex]EG=EF+FG[/tex]
Substitute 9 for EF and 4 for FG. Thus: "
[tex]EG=9+4[/tex]
Add:
[tex]EG=13[/tex]
So, the length is EG is 13.
And we're done!