Question

use the following information to find x. write the value of the variable.
· b is between a and c;
· ab = 3x + 4;
· bc = 8x - 6; and
· \overline{ab} \cong \overline{bc}.
2
\frac{1}{2}
-2
1

Explanation:

Step1: Set up the equation

Since \(\overline{AB}\cong\overline{BC}\), we have \(AB = BC\). Substituting the given expressions: \(3x + 4=8x - 6\).

Step2: Solve for \(x\)

Subtract \(3x\) from both sides: \(4 = 5x-6\).
Add \(6\) to both sides: \(10 = 5x\).
Divide both sides by \(5\): \(x = 2\).

Answer:

\(2\)