In the diagram, polygon abcd is flipped over a line of reflection to form a polygon with its vertices at a′, b′, c′, and d′. points a′, b′, and d′ are shown, but the line of reflection and point c′ are not.
the line of reflection is , and the coordinates of c′ are

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

Kelly is a salesperson at a shoe store, where she must sell a pre-set number of pairs of shoes each month. at the end of each work day the number of pairs of shoes that she has left to sell that month is given by the equation s=300-15x , where s is the number of pair of shoes kelly still needs to sell and x is the number of days she has worked that month. what is the meaning of the number 300 in this equation

Which number completes the inequality? 2/3 < _ < 7/9