Question

1. find x if m is a midpoint.

a 3x - 1 m x + 7 b

Explanation:

Step1: Apply mid - point property

If M is the mid - point of line segment AB, then AM = MB. So, we set up the equation \(3x - 1=x + 7\).

Step2: Solve for x

Subtract x from both sides: \(3x-x - 1=x - x+7\), which simplifies to \(2x-1 = 7\). Then add 1 to both sides: \(2x-1 + 1=7 + 1\), getting \(2x=8\). Divide both sides by 2: \(\frac{2x}{2}=\frac{8}{2}\), so \(x = 4\).

Answer:

\(x = 4\)