Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.

in the figure, (overline{cd}) is the perpendicular bisector of (overline{ab}).

if the length of (overline{ac}) is (2x) and the length of (overline{bc}) is (3x - 5), the value of (x) is

Explanation:

Step1: Set equal lengths of AC and BC

Since $CD$ is the perpendicular bisector of $AB$, $AC = BC$. So we set up the equation:
$2x = 3x - 5$

Step2: Solve for x

Subtract $2x$ from both sides, then add 5 to both sides:
$0 = x - 5$
$x = 5$

Answer:

5