Answer:
st = 6
su = 12
Explanation:
t is the midpoint of line segment su.
st = x + 3
tu = 4x - 6
Since, t is the midpoint of su, it should divide su into two equal parts. This means, measure of st and tu would be equal. So,
st = tu
x + 3 = 4x - 6
3 + 6 = 4x - x
9 = 3x
x = 3
st = x + 3 = 3 + 3 = 6
tu = 4x - 6 = 4(3) - 6 = 6
su = st + tu = 6 + 6 = 2(6) = 12
So, the measure of st would be 6 units and measure of su would be 12 units.