The coordinates of the vertices of triangle ABC are A(1, 2) , B(- 5, 3) , and C(- 6, - 3) . Prove that triangle ABC is isosceles. State the coordinates of point D such that quadrilateral ABCD is a square. Prove that your quadrilateral ABCD is a square.

Brian, chris, and damien took a math test that had 20 questions. the number of questions brian got right is 14 more than the number of questions chris got right. damien correctly answered 2 less than the number of questions chris answered correctly. if brian and damien have the same score, which statement is true?

5,600 x 10^3 = a) 560 b) 5,000,600 c) 5,600,000 d) 56,000

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?