Question

1. solve for x.

4x + 26 = 38
-26 -26
4x = 12
4/4 12/4
x = 3

Explanation:

Step1: Set up the equation

Since \( AC = BC \) (marked congruent) and \( CD \perp AB \), by the perpendicular bisector theorem, \( AD = DB \). So \( 4x + 26 = 38 \).

Step2: Subtract 26 from both sides

\( 4x + 26 - 26 = 38 - 26 \), which simplifies to \( 4x = 12 \).

Step3: Divide both sides by 4

\( \frac{4x}{4} = \frac{12}{4} \), so \( x = 3 \).

Answer:

\( x = 3 \)