Use the properties of parallel lines to solve the problem.In the figure, 
. Identify all pairs of congruent angles.
A. ?ABE and ?ABC , ?FCD and ?BCD
B. ?ABE and ?FCD , ?ABC and ?BCD
C. ?ABC and ?FCD , ?ABE and ?BCD,
D. ?ABE and ?FCD
Answer: B
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Provide an appropriate response.Plot the point 
and find other polar coordinates (r, ?) of the point for which: (a) r > 0, -2? ? ? < 0 (b) r < 0, 0 ? ? < 2? (c) r > 0, 2? ? ? < 4?
A. (a) 
, (b) 
, (c) 
B. (a) 
, (b) 
, (c) 
C. (a) 
, (b) 
, (c) 
D. (a) 
, (b) 
, (c) 
Convert the constraints into linear equations by using slack variables.Maximize z = 4x1 + 12x2 + 7x3Subject to: 5x1 + 2x2 + x3 ? 12 x1 + 6x2 + x3 ? 24 x1 ? 0, x2 ? 0, x3 ? 0
A. 5x1 + 2x2 + x3 + s1 = 12 x1 + 6x2 + x3 + s2 = 24 B. 5x1 + 2x2 + x3 = s1 + 12 x1 + 6x2 + x3 = s2 + 24 C. 5x1 + 2x2 + x3 + s1 = 12 x1 + 6x2 + x3 + s1 = 24
Find the measure of each angle in the problem.
A. 40° and 50° B. 20° and 30° C. 20° and 25° D. 30° and 60°
Evaluate the expression.n + 
, if n = 
A. 15
B. 
C. 
D. 