At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Read more about midpoints at:

https://brainly.com/question/2441957