Question

1. l • 2x - 4 • k -2 + x • j, with a horizontal double - arrow labeled 15 below from l to j

Explanation:

Step1: Set up the equation

From the line segment, we know that \( LK + KJ = LJ \). So, \( (2x - 4)+(-2 + x)=15 \).

Step2: Combine like terms

Combine the \( x \)-terms and the constant terms: \( 2x+x-4 - 2=15 \), which simplifies to \( 3x-6 = 15 \).

Step3: Solve for \( x \)

Add 6 to both sides: \( 3x-6 + 6=15 + 6 \), so \( 3x=21 \). Then divide both sides by 3: \( x=\frac{21}{3}=7 \).

Answer:

\( x = 7 \)