Answer:
31 units
Step-by-step explanation:
Points E, F and G are collinear means they lie on the same line. Point F lies between E and G.
By Segment Addition Postulate,
[tex]EF+FG=EG[/tex]
You are given EF = 2x +19, FG=6x-5 and EG=62.
By Substitution Property of Equality,
[tex]2x+19+6x-5=62[/tex]
Solve this equation:
[tex]2x+6x+14=62\\ \\8x+14=62\\ \\8x+14-14=62-14\\ \\8x=48\\ \\x=6[/tex]
Then
[tex]EF=2\cdot 6+19=12+19=31\ units[/tex]
