Answer:
D.f(x)=2x-9and g(x)=X+9/2
Answer:
<h2>x = -0.5</h2>
Step-by-step explanation:

(1, 3.5 ) and (3, 3.5 )
the endpoints of the midsegment are at the midpoints of DE and DF
using the midpoint formula with D(0, 7), E(2, 0), F(6, 0)
midpoint of DE = [
(0 + 2),
(7 + 0)] = (1, 3.5)
midpoint of DF = [
(0 + 6),
(7 + 0)] = (3, 3.5)
If T is the midpoint, then that means its exactly 1/2 of the way between 2 points
this means we can set the 2 given values equal
4x - 3 = 2x + 7
first move like terms to the same side
2x = 10
x = 5
now that we know the length of x, we plug it back in to get the length
4x - 3 + 2x + 7 = 6x + 4
6(5) + 4 = 34