Math 19

Question 1:

In isosceles triangle MAT, ∠M and ∠A are congruent and m∠T = 82°. What is the measure of ∠A?

Question 2:

What is the length, in inches, of the median of the trapezoid shown?

Question 3:

In the triangle shown, a leg is 10” long and its adjacent acute angle measures 76°. About how many inches long is the hypotenuse?

Note:
sin 76°≈.970
cos 76°≈.242
tan 76°≈4.01

Question 4:

What rational number is halfway between 2/3 and 7/9?

Question 5:

Jake has the scores of 5 of the 6 tests he took this semester in his math class. He has the following scores: 92, 64, 83, 89, and 91. He doesn’t remember what he scored on the 6th test but knows that his average on all 6 tests was 1.8 points lower than his average on the first 5 tests. What was his 6th test score?

Question 6:

Which of the following has the greatest value for all values of m where -1 < m < 0?

Question 7:

[Non-Calculator Question] On February 4th, 1999, there were 180,000 tons of trash in a landfill that had a maximum capacity of 330,000 tons. Every year since that date, the amount of trash said landfill has increased by 8,000 tons. If t represents the time, in years, after February 4th, 1999, which of the following inequalities accurately describes the set of years where the landfill is at or above capacity?

Question 8:

[Non-Calculator Question] If the expression below is rewritten in the form a+bi, where a and b are real numbers, what is the value of a? (note i = √-1)

(15 – 3i)/(2-3i)