Mr. mcelroy enjoys listening to his mp3 player, which has 2,000 songs in five different genres of music. he took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. the counts are shown in the table below. which proportion would predict the number of jazz songs he has stored on his mp3 player? a) 6/20 = x/2000 b) 3/20 = x/2000 c) 2/4 = x/2000 d) 3/40 = x/2000

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