Question

1. m is the mid - point of $overline{ab}$. solve for x.

a m b
6x x + 15
x = ______

Explanation:

Step1: Apply mid - point property

Since M is the mid - point of $\overline{AB}$, we have $AM = MB$. So, $6x=x + 15$.

Step2: Solve the equation for x

Subtract $x$ from both sides: $6x−x=x + 15−x$. This simplifies to $5x=15$.

Step3: Isolate x

Divide both sides by 5: $\frac{5x}{5}=\frac{15}{5}$. So, $x = 3$.

Answer:

$3$