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Suppose M is the midpoint of FG. Find the missing measure.
FG= 11x – 15.6, MG = 10.9

Answer X= ?

Sagot :

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

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