Question

2 fill in the blank 1 point find x. 24x - 19 16x + 13 x = type your answer...

Explanation:

Step1: Set the two expressions equal

Since the segments are equal (marked by the congruence marks and the perpendicular bisector), we set \(24x - 19 = 16x + 13\).

Step2: Subtract \(16x\) from both sides

\(24x - 16x - 19 = 16x - 16x + 13\)
\(8x - 19 = 13\)

Step3: Add 19 to both sides

\(8x - 19 + 19 = 13 + 19\)
\(8x = 32\)

Step4: Divide both sides by 8

\(\frac{8x}{8} = \frac{32}{8}\)
\(x = 4\)

Answer:

4