Abag has 6 yellow marbles and 6 brown marbles. half of the brown marbles are made of plastic. a marble is selected at random from a bag. what is the probability that is is a brown, plastic marble! write your answer as a fraction is simplest form

Lines p and q intersect. find the value of b. show your work. cite any theorems you use.

In a certain pentagon, the interior angles are a, b,c, d,e where a, b,c, d,e are integers strictly less than 180. ("strictly less than 180" means they are "less than and not equal to" 180.) if the median of the interior angles is 61 and there is only one mode, then what are the degree measures of all five angles?

Aparking lot is to be 400 feet wide and 370 feet deep. how many standard-sized cars fit in this lot considering a double-loaded (w4) two way traffic set up, an angle of 90° and a sw of 9’ 0’’? (do not consider handicapped parking spaces, and consider 15’ for turning aisles). show your work.