Question

1. if line n bisects (overline{ce}), find cd.

cd =

Explanation:

Step1: Use the definition of a bisector

Since line \(n\) bisects \(\overline{CE}\), then \(CD = DE\). So we set up the equation \(x + 6=4x-21\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides: \(6 = 3x-21\).
Add \(21\) to both sides: \(27=3x\).
Divide both sides by \(3\): \(x = 9\).

Step3: Find the length of \(CD\)

Substitute \(x = 9\) into the expression for \(CD\) (\(CD=x + 6\)). So \(CD=9 + 6\).

Answer:

\(15\)