Question

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

Explanation:

Step1: Use mid - point property

Since T is the mid - point of $\overline{SU}$, then $ST = TU$. So, $8x + 11=12x - 1$.

Step2: Solve for x

Subtract $8x$ from both sides: $8x+11 - 8x=12x - 1-8x$, which simplifies to $11 = 4x-1$.

Step3: Isolate the term with x

Add 1 to both sides: $11 + 1=4x-1 + 1$, resulting in $12 = 4x$.

Step4: Find the value of x

Divide both sides by 4: $\frac{12}{4}=\frac{4x}{4}$, so $x = 3$.

Answer:

$x = 3$