Question

ab is congruent to cd. solve for x.
a. x = 3.3
b. x = 9
c. x = 28
d. x = 7

Explanation:

Step1: Set up the equation

Since \( \overline{AB}\cong\overline{CD}\), we have \( (3(2x - 11))+23=32\).
First, simplify the left - hand side of the equation:

$$
LATEXBLOCK0
$$

Step2: Solve for \(x\)

Add \(10\) to both sides of the equation \(6x-10 = 32\):
\(6x-10+10=32 + 10\), which gives \(6x=42\).
Divide both sides by \(6\): \(x=\frac{42}{6}=7\).

Answer:

D. \(x = 7\)