In quadrilateral P QRS, diagonals P R and SQ intersect at O inside P QRS, SP = SQ = SR = 1, and
∠QSR = 2∠QSP. Marc determines the measure of
the twelve angles that are the interior angles of 4P OS,
4P OQ, 4ROS, and 4ROQ. The measure of each of
these angles, in degrees, is a positive integer, and exactly
six of these integers are prime numbers. How many
different quadrilaterals have these properties and are not
rotations or translations of each other?

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, from sales of the productwhen it is sold at a unit price of x dollars.-0.5x^2 + 22x - 224what is represented by the zero(s) of the expression? a.the profit when the unit price is equal to 0b.the unit price(s) when the profit is equal to 0c.the profit when the unit price is greatestd.the unit price(s) when profit is greatest

Which of the following is the result of expanding