Question

1. what value of x would make line dc a perpendicular bisector of \\(\overline{ab}\\)?

19x - 473 cm
401 cm
x = ______

Explanation:

Step1: Set up the equation

Since DC is a perpendicular bisector of \( \overline{AB} \), \( AC = BC \). So \( 19x - 473 = 401 \).

Step2: Solve for x

Add 473 to both sides: \( 19x = 401 + 473 \).
Calculate the right side: \( 401 + 473 = 874 \).
Then divide both sides by 19: \( x = \frac{874}{19} \).
Simplify: \( x = 46 \).

Answer:

46