Laura has moved to a new apartment. her schoolbooks comprising of different subjects are mixed in a bag during the move. four books are of mathematics, three are english, and six are science. if laura opens the bag and selects books at random, find the given probability.

p(3 mathematics books)

a. 60/143

c.3/143

b.2/143

d.1/143

What is the value of the expression below? (81^2)^1/8

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

To prove that angle def = angle dgf by sas, what additional information is needed? def congruent to dgf dfe congruent to dfg de congruent to dg dg congruent to gf