The figure shows triangle abc and line segment pq, which is parallel to bc: triangle abc has a point p on side ab and point q on side ac. the line pq is parallel to the line bc. part a: is triangle abc similar to triangle apq? explain using what you know about triangle similarity. part b: which line segment on triangle apq corresponds to line segment bc? explain your answer. part c: which angle on triangle apq corresponds to angle b? explain your answer.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.