In the diagram shown it is known that A, B and C are collinear with m angle EBD = 58, m angle DBC = 3x-5 and m angle ABE = 2x+2. (a) Algebraically determine the value of x.

(b) Does BE bisect angle ABD? Justify your response

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?