A bag contains 500 cubes that are black, yellow and white. A student randomly selects a cube without looking and replaces it in the bag. If the student selected 19 black cubes, 14 yellow cubes and 17 white cubes, which of the options below show a reasonable estimate for the total number of each color cube in the bag? Select all that apply. A) 280 yellow cubes
B) 190 black cubes
C) 340 white cubes
D) 140 yellow cubes
E) 380 black cubes

Which of the following functions corresponds to the above sinusoid? a. 10 cos πx - 5 b. -5 sin x - 5 c. -10 cos πx/2 - 0.5 d. 10 sin πx - 5

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality

The table shows values for functions f(x) and g(x) . x f(x)=−4x−3 g(x)=−3x+1+2 −3 9 179 −2 5 53 −1 1 1 0 −3 −1 1 −7 −7 2 −11 −25 3 −15 −79 what is the solution to f(x)=g(x) ? select each correct answer.