Question

7 fill in the blank 1 point
if t is the midpoint of (overline{su}), find x.
diagram: points s, t, u on a line segment; (st = 8x + 11), (tu = 12x - 1)
(x = ) type your answer...

Explanation:

Step1: Use midpoint definition

Since \( T \) is the midpoint of \( \overline{SU} \), \( ST = TU \). So \( 8x + 11 = 12x - 1 \).

Step2: Solve for \( x \)

Subtract \( 8x \) from both sides: \( 11 = 4x - 1 \).
Add 1 to both sides: \( 12 = 4x \).
Divide by 4: \( x = \frac{12}{4} = 3 \).

Answer:

\( 3 \)