Question

3 multiple choice 1 point what is the value of x in the figure below, if m is parallel to n? 5x + 6 m 6x - 3 n x = - 9 x = 16 1/11 x = 9 x = 9/11

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\) and \(n\) are cut by a transversal, the corresponding angles are equal. So, \(5x + 6=6x - 3\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation:
\(5x+6 - 5x=6x - 3-5x\)
\(6=x - 3\)
Add \(3\) to both sides:
\(6 + 3=x-3 + 3\)
\(x=9\)

Answer:

\(x = 9\) (the third option)