Given: ∠ABC is a right angle and ∠DEF is a right angle. Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF. What are the missing reasons in the steps of the proof?

In which quadrant is the graph of (-8, 6) located?

What is the area of the polygon given below? given 12 5 6 10 6

Kevin had to measure the diameter of a hair strand and the diameter of a grain of sand for his science experiment. He found the diameter of the hair strand to be 0.00006 inches and the diameter of a grain of sand to be 1.3 * 10-3 inches.

In the number 3,333 the first 3 is in the thousands place its value is.

Find the average rate of change for f (x) = x2 + 9x + 18 from x = 10 to x = 20.

1. Which equation represents the linear graph? A) y = 2x - 4 B) y = 2x + 4 C) y = 4x - 2 D) y = 4x + 2

Mary has $500 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account? A) $180 B) $230 C) $290 D) $340

A function g (x) has x-intercepts at (1/2,0) and (6,0). Which could be g (x) ? g (x) = 2 (x + 1) (x + 6) g (x) = (x-6) (2x - 1) g (x) = 2 (x - 2) (x-6) g (x) = (x + 6) (x + 2)

Roger is training for a half-marathon. The course is 13.1 miles long. Let p represent Roger's average pace in minutes per mile. Write and solve an inequality to show the average pace needed to finish the half marathon in less than 2 hours.

Find the area under the standard normal curve to the left of z = 0.49 and to the right of z = 2.05. Round your answer to four decimal places, if necessary.