Question

what value of x proves that the lines m and l are parallel in each of the diagrams? round to the nearest hundredth, if necessary (two decimal places).
x=
answer

Explanation:

Step1: Use the alternate interior angles theorem

If lines \(m\) and \(l\) are parallel, then \(2x + 24=15x\) (alternate interior angles are equal).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(24 = 15x-2x\), so \(24 = 13x\).
Then \(x=\frac{24}{13}\approx1.85\)

Answer:

\(x\approx1.85\)