Atriangle is shown on the graph: a coordinate plane is shown. a triangle has vertices at negative 6 comma 2, negative 5 comma 5, negative 2 comma 2. what effect will a 90-degree clockwise rotation have on the triangle? be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
worth 35 pts
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For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 y=-2x^2+2x+2

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

20 solve 2(4 x + 3) < 5 x + 21. a) { x | x < 9} b) { x | x > -5} c) { x | x > -9} d) { x | x < 5}