Find the constant of proportionality for the stated conditions: z is directly proportional to the sum of x and y, and when ,  and

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Fill in the blank(s) with the appropriate word(s).

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Answer: 8

Mathematics

?Which of the following is true about similar polygons?

A. ?If a and a', b and b', c and c', etc. are corresponding sides, then ak = a', bk = b', ck = c', etc. B. ?If the polygons are similar, then the perimeter of one polygon is kP, where k is the constant of proportionality and P is the perimeter of one polygon. C. ?If the polygons are similar, then the perimeter of one polygon is knP, where k is the constant of proportionality, P is the perimeter of one polygon, and n is the number of sides of the polygon.  D. ?a and b are true. E. ?a and c are true.

Solve the problem.Bob owns a watch repair shop. He has found that the cost of operating his shop is given by , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?

A. 71 watches B. 33 watches C. 35 watches D. 40 watches

Find an angle ? in the second quadrant for which cot ? = - 1. Look for an angle between 0° and 360°. ? __________°

Fill in the blank(s) with the appropriate word(s).

Solve the equation.log6 (x2 - 5x) = 1

A. {6} B. {-6, 1} C. {6, -1} D. {1}