Respuesta :

Point G lies between points F and H on .

 

If the length of FH is 18 units, what is the value of x?


 the answer is 3 .

see the attached figure to better understand the problem

we know that

[tex]FH=FG+GH[/tex]

[tex]FH=18[/tex] -------> equation [tex]1[/tex]

[tex]FH=4x+2x[/tex]

[tex]FH=6x[/tex] -------> equation [tex]2[/tex]

equate equation [tex]1[/tex] and equation [tex]2[/tex]

[tex]18=6x[/tex]

[tex]x=3[/tex]

therefore

the answer is

[tex]x=3[/tex]

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