In the diagram
(a) The pair ?3 and ?5 are _______________________
(b) The pair ?1 and ?7 are _______________________
(c) The pair ?3 and ?6 are _______________________
(e) The pair ?1 and ?8 are _______________________
(e) The pair ?4 and ?8 are _______________________
(a) Alternate interior angles
(b) Alternate exterior angles
(c) Interior angles on the same side of the traversal
(d) Exterior angles on the same side of the traversal
(e) Corresponding angles
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Find the eigenvalues and the corresponding eigenvectors 
What will be an ideal response?
A plane is flying with an airspeed of 160 miles per hour and heading of 140°. The wind currents are running at 41 miles per hour at 155° clockwise from due north. Use vectors to find the true course and ground speed of the plane. ? Apply the rules regarding the use of significant digits after all computations are complete. ?
A. 196 mph with heading 147° B. 200 mph with heading 145° C. 190 mph with heading 143° D. 190 mph with heading 145° E. 200 mph with heading 143°
Solve the problem.The function f(x) = ?x2 describes the area of a circle, f(x), in square meters, whose radius measures x meters. If x is changing,(i) Find the average rate of change of the area with respect to the radius as the radius changes from 8 meters to 8.1 meters.(ii) Find the average rate of change of the area with respect to the radius as the radius changes from 8 meters to 8.01 meters.(iii) Find the instantaneous rate of change of the area with respect to the radius at the moment when the radius is 8 meters.Express all answers in terms of ?.
A. (i) 1296.1? square meters per meter; (ii) 12,816.01? square meters per meter; (iii) 16? square meters per meter B. (i) 1296.1? square meters per meter; (ii) 12,816.01? square meters per meter; (iii) 32? square meters per meter C. (i) 16.1? square meters per meter; (ii) 16.01? square meters per meter; (iii) 16? square meters per meter D. (i) 16.1? square meters per meter; (ii) 16.01? square meters per meter; (iii) 32? square meters per meter
Find the least common denominator.
+ 
A. 3(x - 4)(x - 2) B. 3(x + 4)(x + 2) C. 3(x + 4)(x - 2) D. 3(x - 4)(x + 2)