The triangle below models a section of the supports you might see in a construction crane. a. What is the sum of the angle measures of the triangle? Show your work.

1. Alt interior = 60

2. angle A + angle B + 2 =180

3. x supplemental

4. Alt interior = 90

5. Supplimentary = 90

(A is already solved)

b. Check your answer to problem 3a. Show your work.

(Please answer b)

Find the indicated value, where g(t) = t^2-t and f(x)= 1+x a. -2 b. 0 c. 2 d. 8

Factor the following expression. 27y3 – 343 a. (3y + 7)(9y2 + 2ly + 49) b. (3y – 7)(9y2 + 2ly + 49) c. (3y – 7)(932 – 217 + 49) d. (3y + 7)(92 – 2ly + 49)

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)