Respuesta :

Answer:

k= 7

Step-by-step explanation:

if m is the midpoint of fm, and fm= 2k-5. and fg=18. then you can do: 2k-5+2k-5=18 and solve for x

The measure of FM is 9 and MG is 9.

Given,

M is the midpoint of FG.

FM = 2k - 5 and FG = 18.

We need to find the measure of MG.

We have,

FG is a line.

M is the midpoint of this line FG.

Now,

F______M______G

Since M is the midpoint we have,

We need to get,

FM = MG = FG/2

FG = FM + MG

We need to find the k value.

FM = FG/2

2k - 5 = 18/2

Multiplying 2 on both sides

4k - 10 = 18

Adding 10 on both sides

4k - 10 + 10 = 18 + 10

4k = 28

Dividing both sides by 4

k = 28/4 = 7

k = 7.

So,

FM = 2k - 5 = 2 x 7 - 5 = 14 - 5 = 9

Since M is the midpoint

FM = MG

We have,

MG = 9

We can see that,

FG = FM + MG

18 = 9 + 9

18 = 18

Thus the measure of FM is 9 and MG is 9.

Learn more about finding measures of a line between two points here:

https://brainly.com/question/617690

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