The two-way table shows the ages of the players on different soccer teams. Team C 8 8 Years Old 9 Years Old 10 Years Old Total Team A 4 9 2 15 Team B 6 4 3 13 Team D 3 7 4 14 Total 21 23 5 16 58 Which statement is true? O The probability that a randomly selected player on Team A is 8 years old is 21 O The probability that a randomly selected 8-year-old player is on Team C is 21" The probability that a randomly selected player on Team C is 10 years old is 16 O The probability that a randomly selected 10-year-old player is on Team B is 13​

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