OPTION D
m<6 and m<3 are congruent because they are alternate interior angles.
Since you mentioned the fundamental counting principle, I assume you are looking for the total number of possibilities.
If you are picking a month, there are 12 options.
If you are selecting a day of the week, there are 7 options.
If you are doing both, you multiply the two numbers together.
12 x 7 = 84
All angles in a triangle add up to 180 degrees. Make all the angles in this triangle add up to 180 in an equation to solve for x.
(4x + 7) + (11x - 9) + 32 = 180
Combine like terms. (4x + 11x) and (7 - 9 + 32)
15x + 30 = 180
Subtract 30 from both sides.
15x = 150
Divide both sides by 15.
200 because:
250 or higher is 300
249 or lower is 200
The answer is: "123454321"
Hope this helps!