Use the lists of multiples to answer the problem. multiples of 8: 8, 16, 24, 32, 40, . . multiples of 12: 12, 24, 36, 48, 60, . . a baker is baking muffins and cookies for a big event. the baker places a tray of cookies and a tray of muffins in the oven. the cookies bake for 8 minutes, and the muffins bake for 12 minutes. when they are done, the baker removes the tray and replaces it with another tray of the same item. how many minutes will pass until the baker first needs to remove the cookies and the muffins at the same time? minutes

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12