Find the measure of ∠d if ∠a = 5 2 x + 30 ∠b = 7 2 x + 40 ∠c = 9 2 x + 10 ∠d = 5 2 x + 20

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

The distributive property allows you to say that 3(x − 1) = 3x −

The pyramid shown has a square base that is 24 centimeters on each side. the slant height is 16 centimeters. what is the lateral surface area?