Point g is on line segment FH. Given FG=5x+2, GH= 3x-1, and FH= 9, determine the numerical length of FG.

Mathematics · High School · Thu Feb 04 2021

Answered on

according to the question, g is on line segment FH

FG=5x+2

GH= 3x-1

 FH= 9

numerical length of FG=?

we know that, if g is on line segment FH it means FG+GH=FH

put the values:- 5x+2+3x-1=9

                                 8x+1=9

                                 8x=9-1

                                 8x=8

                                    x=8/8

                                   x=1

hence, x=1 then numerical value of FG=5x+2 is:-

FG=5(1)+2

FG=5+2

FG=7 (Answer)