Loren drove 200 miles at a certain rate, and his wife, lois, drove 100 miles at a rate 10 mph slower. if loren had driven for the entire trip, they would have arrived 30 minutes sooner. what was loren's rate? 45 mph 50 mph 55 mph

Need solving this second acceleration problem.

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.