JuditS382842 JuditS382842

26-10-2022
Mathematics

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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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LeasiaF469721 LeasiaF469721

26-10-2022

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

repalce the values

[tex](5x+2)=(x+5)+(5x-9)[/tex]

and solve for x

[tex]\begin{gathered} 5x-x-5x=5-9-2 \\ -x=-6 \\ x=6 \end{gathered}[/tex]

the value of x is 6

now replacing on FG

[tex]\begin{gathered} FG=x+5 \\ FG=6+5 \\ FG=11 \end{gathered}[/tex]

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