Question

Please help me! GEOMETRY

Point F lies between points G and M. GF=8x+12, FM=20, and GM=16x.

What is the value of x?

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Answer 1

x = 4

Explanation:

For this kind of problem, it is helpful to draw a diagram (I've attached one below as an example).

We know that when it comes to line, part + part = whole, so GF + FM = GM.

Thus, we have:

8x + 12 + 20 = 16x

8x + 32 = 16x

32 = 8x

4 = x