There are nine official Inauguration Balls on the evening of Inauguration Day. Each ball lasts from 7p. m. to 1 a. m. Let's assume the President would like to attend each ball. Assuming that the President requires
15 minutes of travel time between each ball, what is the average number of minutes he will be able to
spend at each ball if he arrives at the first one at 7 p. m. and leaves the last one at 1 a. m.? Express your
answer to the nearest whole number.

In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.

Evaluate the expression for the given value of the variable. | ? 4 b ? 8 | + ? ? ? 1 ? b 2 ? ? + 2 b 3 -4b-8+-1-b2+2b3 ; b = ? 2 b=-2

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry.how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.