Question

Points E, F and G are collinear. Point Flies between E and G.

If EF = 2x +19, FG=6x-5 and EG=62, find the value of EF.

Answer 1

31 units

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,

`EF+FG=EG`

You are given EF = 2x +19, FG=6x-5 and EG=62.

By Substitution Property of Equality,

`2x+19+6x-5=62`

Solve this equation:

`2x+6x+14=62\\ \\8x+14=62\\ \\8x+14-14=62-14\\ \\8x=48\\ \\x=6`

Then

`EF=2\cdot 6+19=12+19=31\ units`