Triangle ABC is a triangle with no equal sides. A new triangle congruent to triangle ABC is to be placed on the plane such that the new triangle shares exactly two vertices with triangle ABC. At how many different locations can the new triangle be placed?

Δabc is dilated by a scale factor of 3 with the origin as the center of dilation to form δa′b′c′. the slope of is -1.2. the length of is p units, the length of is q units, and the length of is r units. the slope of is . the length of is units.

The two square pyramids are similar. find the total volume of both pyramids if the ratio of their surface areas is 9/16

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?