Question

if st = 3x, tu = 4, and su = 5x, what is st? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $SU=ST + TU$, we substitute the given values: $5x=3x + 4$.

Step2: Solve for x

Subtract $3x$ from both sides of the equation: $5x-3x=3x + 4-3x$. This simplifies to $2x=4$. Then divide both sides by 2: $x = \frac{4}{2}=2$.

Step3: Find the value of ST

We know that $ST = 3x$. Substitute $x = 2$ into the equation for $ST$. So $ST=3\times2 = 6$.

Answer:

6