Question

if uv = 3x, vw = 6, and uw = 4x, what is uw? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $UW=UV + VW$, we substitute the given expressions: $4x=3x + 6$.

Step2: Solve for $x$

Subtract $3x$ from both sides of the equation $4x=3x + 6$. We get $4x-3x=3x + 6-3x$, which simplifies to $x = 6$.

Step3: Find the value of $UW$

We know that $UW = 4x$. Substitute $x = 6$ into the expression for $UW$. So $UW=4\times6=24$.

Answer:

24