Respuesta :

The value of x is 8.

How to find the value of x?

given that Point F lies between points G and M.

GF = 10x +4, FM = 20,GM = 13x.

so now GM = GF + FM

[tex]13x =( 10x + 4) + 20 \\ 13x = 10x + 24 \\ 13x - 10x = 24 \\ 3x = 24 \\ x = \frac{24}{3} \\ x = 8[/tex]

so, the value of x is 8.

now check if it is wrong or correct

[tex]13(8) = 10(8) + 4 + 24 \\ 104 = 80 + 28 \\ 104 = 104[/tex]

Learn more about equations, refer

https://brainly.com/question/13965302

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