Point X is the incenter of ΔABC. Triangle A B C has point X as its incenter. Lines are drawn from the points of the triangle to point X. Lines are drawn from point X to the sides of the triangle to form right angles. Line segments X F, X G, and X E are formed. If EX = 4z + 1, XF = 2z + 7, and mABC = 44°, find the following measures. GX = mABX =

The price of an item has been reduced by 30%. the original price was $30. what is the price of the item now ?

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12