Question

question 1 - 3
c is the mid - point of ab. what is ac?
a 7x - 12 c 4x + 6 b
2
1
30
60

Explanation:

Step1: Set up equation

Since C is the mid - point of AB, then $AC = CB$. So we set up the equation $7x - 12=4x + 6$.

Step2: Solve for x

Subtract $4x$ from both sides: $7x-4x - 12=4x-4x + 6$, which simplifies to $3x-12 = 6$. Then add 12 to both sides: $3x-12 + 12=6 + 12$, getting $3x=18$. Divide both sides by 3: $x=\frac{18}{3}=6$.

Step3: Find AC

Substitute $x = 6$ into the expression for $AC$ which is $7x-12$. So $AC=7\times6-12=42 - 12=30$.

Answer:

30