Question

if tu = 3x, uv = 2, and tv = 4x, what is tu? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $TV=TU + UV$, we can substitute the given expressions: $4x=3x + 2$.

Step2: Solve for x

Subtract $3x$ from both sides of the equation $4x=3x + 2$. We get $4x-3x=3x + 2-3x$, which simplifies to $x = 2$.

Step3: Find the value of TU

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

Answer:

6