Question

point m is the midpoint of $overline{vw}$. find the length of $overline{vm}$. remember you need to first solve the equation for x then find vm using the value of x. x = 4, vm = 15 x = 7, vm = 27 x = 4/7, vm = 16

Explanation:

Step1: Set up the equation

Since M is the mid - point of $\overline{VW}$, then $VM = MW$. So, $4x - 1=3x + 3$.

Step2: Solve for x

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

Step3: Find the length of VM

Substitute $x = 4$ into the expression for $VM$. $VM=4x-1$. So, $VM=4\times4-1=16 - 1=15$.

Answer:

A. $x = 4, VM=15$