In ?ABC, , if AD = 16 and CD  12, find BD.


BD = 9.

Mathematics

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Solve the problem.Find the dimensions of a rectangular enclosure with perimeter 40 yd and area 91 yd2.

A. 13 yd by 7 yd B. 16 yd by 7 yd C. 14 yd by 6 yd D. 15 yd by 6 yd

Mathematics

Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.Two percent of flat irons produced at a certain plant are defective. Estimate the probability that of 10,000 randomly selected flat irons, the number of defectives is between 195 and 210 inclusive.

A. 0.3989 B. 0.4017 C. 0.4251 D. 0.4034

Mathematics

Solve the problem.The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 70 feet and  walls requires  of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 60 feet and 10-foot walls.

A. 60 quarts B. 600 quarts C. 6 quarts D. 12 quarts

Mathematics

Use the variable x for the unknown. Write an equation representing the verbal sentence and solve the problem.When  of a number is added to 20, the result is 27.

A.  x + 27; 32
B.  x - 20 = 27; 188
C.   + x = 27; 27
D.  x + 20 = 27; 28

Mathematics