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Point G is on line segment FH. GIVEN FH = 5× +2, GH =5× - 9, AND FG = × + 5, determine the numerical length of FG?

Point G is on line segment FH. GIVEN FH = 5× +2, GH =5× - 9, AND FG = × + 5, determine the numerical length of FG?
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point G is on line segment FH. GIVEN FH = 5× +2, GH =5× - 9, AND FG = × + 5, determine the numerical length of FG?

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User Ryan Dunphy
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7.4k points

1 Answer

6 votes

FH=FG+GH

repalce the values


(5x+2)=(x+5)+(5x-9)

and solve for x


\begin{gathered} 5x-x-5x=5-9-2 \\ -x=-6 \\ x=6 \end{gathered}

the value of x is 6

now replacing on FG


\begin{gathered} FG=x+5 \\ FG=6+5 \\ FG=11 \end{gathered}

point G is on line segment FH. GIVEN FH = 5× +2, GH =5× - 9, AND FG = × + 5, determine-example-1
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User Schiavini
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