Question

question point v is on line segment uw. given uv = 6, uw = 5x, and vw = 4x - 1, determine the numerical length of vw. answer attempt 1 out of 2 vw = submit answer watch video show examples

Explanation:

Step1: Use segment - addition postulate

Since point V is on line segment $\overline{UW}$, we have $UV + VW=UW$.
Substitute the given expressions: $6+(4x - 1)=5x$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $6 + 4x-1=4x + 5$. So, $4x + 5=5x$.

Step3: Solve for x

Subtract $4x$ from both sides of the equation: $4x+5-4x=5x - 4x$. We get $x = 5$.

Step4: Find the length of VW

Substitute $x = 5$ into the expression for $VW$. Since $VW=4x - 1$, then $VW=4\times5-1$.
Calculate $4\times5-1=20 - 1=19$.

Answer:

19