Answer:
[tex]x=\frac{3}{5}[/tex]
Step-by-step explanation:
Midpoint of a line is a point that divides it into two equal segments.
As B is the midpoint of line segment AC,
[tex]AB=BC[/tex]
Put [tex]BA=8x+9\,,\,CA=28x-3[/tex]
To find value of [tex]x[/tex], solve [tex]8x+9=28x-3[/tex]
Therefore,
[tex]8x+9=28x-3\\9+3=28x-8x\\12=20x\\x=\frac{12}{20}\\ x=\frac{3}{5}[/tex]
So, value of [tex]x[/tex] is [tex]\frac{3}{5}[/tex]
