Assume triangle ABC has standard labeling. Determine if AAS, ASA, SSA, SAS, or SSS is given, and decide if the law of sines or the law of cosines should be used to solve the triangle.?, ?, and c

A. SSA; law of sines
B. SSA; law of cosines
C. SAS; law of cosines
D. AAS; law of sines

Answer: D

Mathematics

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Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.x2 - 16y2 - 8x + 32y - 16 = 0

A. center at (4, 1)
transverse axis: x = 4
vertices: (4, -3) and (4, 5)
foci: (4, 1 - ) and (4, 1 + )
asymptotes: y + 1 = - 4(x + 4) and y + 1 = 4(x + 4)
B. center: (4, 1)
transverse axis: y = 1
vertices: (3, 1) and (5, 1)
foci: (4 - , 1) and (4 + , 1)
asymptotes: y - 1 = - 4(x - 4) and y - 1 = 4(x - 4)
C. center: (4, 1)
transverse axis: y = 1
vertices: (0, 1) and (8, 1)
foci: (4 - , 1) and (4 + , 1)
asymptotes: y - 1 = - (x - 4) and y - 1 = (x - 4)
D. center: (1, 4)
transverse axis: y = 4
vertices: (-3, 4) and (5, 4)
foci: (1 - , 4) and (1 + , 4)
asymptotes: y - 4 = - (x - 1) and y - 4 = (x - 1)