Refer to the figure to answer the question. Line DH is parallel to line IM. Line BO is perpendicular to line DH.m?IJN is 57°. What is the measure of ?DEJ?

A. 33°
B. 57°
C. Cannot be determined
D. 123°


Answer: B

Mathematics

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Calculate the flux of the field F across the closed plane curve C.F = (x+y)i + xyj; the curve C is the closed counterclockwise path around the rectangle with vertices at    and 

A. 120 B. 75 C. 85 D. 175

Mathematics

Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?

A. 0.438 B. 0.487 C. 0.91 D. 0.856

Mathematics

Solve the problem.The product of two nonzero consecutive integers is 4 less than 4 times their sum. Find the integers.

A. -8, -7 B. 7, 8 C. 8, 9 D. 0, 1

Mathematics

Divide using long division.

A. x3 + 3x2 + 9x + 27
B. x3 + 3x2 + 9x + 27 + 
C. x3 + 3x2 + 9x + 27 + 
D. x3 - 3x2 + 9x - 27 + 

Mathematics