Question

1. if t is the mid - point of su, find x. s 8x + 11 t 12x - 1 u

Explanation:

Step1: Use mid - point property

Since T is the mid - point of SU, then ST = TU. So we set up the equation $8x + 11=12x−1$.

Step2: Isolate x terms

Subtract $8x$ from both sides of the equation:
$8x + 11-8x=12x−1 - 8x$
$11 = 4x-1$.

Step3: Solve for x

Add 1 to both sides: $11 + 1=4x-1 + 1$, which gives $12 = 4x$.
Then divide both sides by 4: $\frac{12}{4}=\frac{4x}{4}$, so $x = 3$.

Answer:

$x = 3$