Question

question 3 (1 point)
find the value of x that makes m||n.
x=
blank 1:
question 4 (1 point)
find the value of x that makes m||n.

Explanation:

Step1: Use the property of parallel lines

When \(m\parallel n\), the angles \((7x + 24)^{\circ}\) and \((11x-8)^{\circ}\) are congruent (alternate - interior angles or corresponding angles). So, we set up the equation \(7x+24 = 11x - 8\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides:
\(24=11x - 8-7x\)
\(24 = 4x-8\)
Add \(8\) to both sides:
\(24 + 8=4x\)
\(32 = 4x\)
Divide both sides by \(4\):
\(x=\frac{32}{4}\)

Answer:

\(8\)