given ( mparallel n ), find the value of x.\nanswer attempt 2 out of 2\n( x=)

Explanation:

Step1: Use the property of alternate interior angles

Since (m\parallel n), the alternate interior angles are equal. So, (9x - 4=2x + 19).

Step2: Solve the equation for (x)

Subtract (2x) from both sides: (9x-2x - 4=2x-2x + 19), which simplifies to (7x-4 = 19). Add (4) to both sides: (7x-4 + 4=19 + 4), so (7x=23). Divide both sides by (7): (x=\frac{23}{7}). Wait, no, let's correct. Wait, correct step - subtract (2x) from both sides: (9x-2x-4 = 2x - 2x+19) gives (7x-4=19). Then add (4) to both sides: (7x=19 + 4=23) (wrong). Wait, no, correct: (9x-4=2x + 19). Subtract (2x) from both sides: (9x-2x-4=2x-2x + 19) → (7x-4 = 19). Add (4) to both sides: (7x=19 + 4) (no, (19+4 = 23) is wrong. Wait, (9x-4=2x + 19). (9x-2x=19 + 4). (7x=23) (no, (19+4=23) is wrong. Wait, (9x-4=2x + 19). (9x-2x=19 + 4) → (7x=23) (no, (19 + 4=23) is wrong. Wait, (9x-4=2x+19). (9x-2x=19 + 4) → (7x=23) (no, (19+4 = 23) is wrong. Wait, (9x-4=2x+19). (9x-2x=19 + 4) → (7x=23) (no, (19+4=23) is wrong. Wait, correct: (9x-4=2x + 19). (9x-2x=19 + 4) → (7x=23) (no, (19+4=23) is wrong. Wait, (9x-4=2x+19). (9x-2x=19 + 4) → (7x=23) (no, (19+4=23) is wrong. Wait, (9x-4=2x+19). 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