A midpoint divides a line segment into equal halves.
The value of x is 3.4
Given that:
[tex]FG = 11x - 15.6[/tex]
[tex]MG = 10.9[/tex]
Since M is the midpoint, then:
[tex]FG = 2 \times MG[/tex]
So, we have:
[tex]11x - 15.6 =2 \times 10.9[/tex]
[tex]11x - 15.6 =21.8[/tex]
Collect like terms
[tex]11x =15.6 +21.8[/tex]
[tex]11x =37.4[/tex]
Solve for x
[tex]x =3.4[/tex]
Hence, the value of x is 3.4
Read more about midpoints at:
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