Using a straightedge, extend segment ab and place point p above point b. by the same reasoning, extend segment ad and place point t to the left of point a. angles are congruent by the alternate interior angles theorem. angles are congruent by the corresponding angles theorem. by the transitive property of equality, angles bcd and bad are congruent. angles abc and bat are congruent by the alternate interior theorem. angles bat and cda are congruent by the corresponding angles theorem. by the transitive property of equality, ∠abc is congruent to ∠cda. consequently, opposite angles of parallelogram abcd are congruent. what angles accurately complete the proof?

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.)

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers. solve this quadratic equation using the quadratic formula. 2x2 - 2x=1 need asap