He 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. (5 points)

Part B: Which line segment on triangle APQ corresponds to line segment BC? Explain your answer. (3 points)

Part C: Which angle on triangle APQ corresponds to angle B? Explain your answer. (2 points)

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?