Question

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, 4), the midpoint of qr.

1. hj =

isector

Explanation:

Step1: Identify HL as perpendicular bisector

HL is perpendicular bisector of JK, so HJ = HK.

Step2: Set equations equal

Set \(3x + 1 = 5x - 3\).

Step3: Solve for x

Subtract \(3x\) and add 3: \(1 + 3 = 5x - 3x\) → \(4 = 2x\) → \(x = 2\).

Step4: Calculate HJ

Substitute \(x = 2\) into \(3x + 1\): \(3(2) + 1 = 6 + 1 = 7\).

Answer:

7