Suppose M is the midpoint of FG⎯⎯⎯⎯⎯. Find the missing measure. FM=5y+13, MG=5−3y FG

Answer 1

This is a lengthy explanation. I didn't know if they wanted the measurement of FG only or the midpoint or the measurement in terms of algebraic expressions, so I did all 3. That is why the video is lengthy lol.. I hope this helps!!! Video should show up shortly..

Answer 2

If this is the midpoint, these 2 segments are equal. We can set up that equation, then solve.

5y+13=5-3y Add 3y to both sides

5y+13+3y=5-3y+3y Simplify

8y+13=5 Subtract 13 from both sides of the equation

8y+13-13=5-13 Simplify

8y=-8 divide both sides by 8

y=-1