Answer:
[tex]x=50[/tex]
Step-by-step explanation:
we know that
If LM is the midsegment
then
[tex]LM=\frac{1}{2}(AB+DC)[/tex]
substitute the given values
[tex]4x+3=\frac{1}{2}(x+8+348)[/tex]
Solve for x
[tex]8x+6=(x+356)[/tex]
[tex]8x-x=356-6[/tex]
[tex]7x=350[/tex]
[tex]x=350/7[/tex]
[tex]x=50[/tex]
