In the image shown, line n is a transversal cutting parallel lines l and m.

∠1 = x + 40
∠5 = 2x + 10

What is the measure of ∠5?

A) 65°
B) 67°
C) 70°
D) 72°

Subtract 8 1/6 - 4 5/6 . simplify the answer and write as a mixed number.

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?