Question

segment addition postulate practice
points a, b, and c are collinear. point b is between a and c. solve for x.
ac = 3x + 3, ab = 2x - 1, and bc = 11
x = □

Explanation:

Step1: Apply segment - addition postulate

Since point B is between A and C, we have $AB + BC=AC$.
$(2x - 1)+11 = 3x+3$

Step2: Simplify the left - hand side of the equation

Combine like terms: $2x+( - 1 + 11)=3x + 3$, which gives $2x+10 = 3x+3$.

Step3: Isolate the variable x

Subtract $2x$ from both sides: $2x - 2x+10=3x - 2x+3$.
We get $10=x + 3$.
Then subtract 3 from both sides: $10-3=x+3 - 3$.

Answer:

$x = 7$