Question

point m is the mid - point of vw. find the length of vm. vm = 4x - 1, vm = mw, 4x - 1 = 3x + 3, x - 1 = 3, x = 4, vm = 15. multiple - choice question what is the length of mw? 6 10 30 15

Explanation:

Step1: Use mid - point property

Since M is the mid - point of $\overline{VW}$, then $VM = MW$. Given $VM=4x - 1$ and $MW = 3x+3$, we set up the equation $4x-1=3x + 3$.

Step2: Solve for x

Subtract $3x$ from both sides of the equation: $4x-3x-1=3x-3x + 3$, which simplifies to $x-1=3$. Then add 1 to both sides: $x=4$.

Step3: Find the length of MW

Substitute $x = 4$ into the expression for $MW$. Since $MW=3x + 3$, then $MW=3\times4+3=12 + 3=15$.

Answer:

15