Answer:
x = 3
Length of each segment = 3
Step-by-step explanation:
Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.
m(TU) = m(VU)
(8x + 11) = (12x - 1)
By further solving this,
8x + 11 + 1 = 12x - 1 + 1
8x + 12 = 12x
8x + 12 - 8x = 12x - 8x
12 = 4x
x = [tex]\frac{12}{4}[/tex]
x = 3
(12x - 1) = 12×3 - 1
= 35
And the length of each segment will be 35 units.
