An architect is designing a department store. she wants to add an escalator. she knows that the escalator will make a 30° angle with the floor and will have a vertical height of 36 feet.

1. what is the measure of ∠abc? what is the measure of ∠abd?

Find the value of x for which the lines are parallel.

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?