Agroup of people have the number 12345.6789 written on a piece of paper. then the group decides to play a game. the winner of the game is the person who can round the given number and get a number higher than any other person. alice rounds to the nearest ten-thousand, bob to the nearest thousand, carol to the nearest hundred, devon to the nearest ten, and eugene to the nearest whole number. in addition, felicity rounds the number to the nearest tenth, gerald to the nearest hundredth, harry to the nearest thousandth, and irene rounds to the nearest ten-thousandth. who wins the game?

Obviously it's Eugene who rounded up the number to the nearest whole number, that is 12346

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

Use a calculator basically