at a maximum speed an airplane travels 2100 miles against the wind in 6 hours. Flying with the wind, the plane travel the same distance in 4 hours. what is the speed of the plane with no wind?

Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by probability theory? 15, 20, 5, 10

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?

The point (-7, -24) is on the terminal ray of angle 0 which is in standard position. a student found the six trigonometric values for angle e. the student's answers are shown. which value(s) are incorrect? sin(8) cos(8) 24 tan(0) sin(0)=25 cos(0) -- tan(ⓡ) - - 24 csc(o)=2 sec(0) --25 cot(6) - za csc(o) sec(0) cot(0) done