Prove that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures.

If ... 1=5, 2=10, 3=30, then 4=?

The temperature was very cold, then it dropped 10 degrees, and then it increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature

A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 99% confident that her estimate is correct.

Which of the following expression is equivalent to - 6+30? A. - 6 (x+30) B. - 2 (3x-15) C. 6 (x+5) D. - 3 (-2x-10)

Challenge A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 14 feet per second. One day, the equipment elevator begins to descend.

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.