I need a little help with a couple of these.
In triangle ABC, m∠ BAC=70° and m∠ ABC=50°. Point H lies on segment AB such that segment CH is an angle bisector of ∠ ACB. Point M lies on segment BC such that BM=BH. Find m∠ CHM
The complex numbers w=2+5i and z=3-4i are graphed as vectors. What is the measure of the angle formed between them?
Triangle ABC exists such that AB=AC. P lies on AC and Q lies on BC such that AP=AQ. Find m∠ PQC if m ∠ BAQ=30°.
Mr. White and his dog, Lady, try to speed walk 2 miles each day when the weather permits. The following table shows Mr. White's speed for each half mile walked. Find Mr. White's average walking speed.
Distance Walking speed
First 1/2 mile 4.3 mph
Second 1/2 mile 3.0 mph
Third 1/2 mile 3.3 mph
Fourth 1/2 mile 2.7 mph
Ans: 3.30 mph
(I took the geometric mean and got it wrong so I tried the harmonic mean and it was also wrong. The only way I've been able to produce the answer is when I take the arithmetic mean of the first and second and then the third and fourth and then take the geometric mean of those two. It might be the quadratic mean, but I forgot that one. Can someone please tell me how you know when to apply which mean with problems like this one and the trapezoid ones.)
Roland Cubes tossed a fair die three times. What is the probability that the face with six dots comes up at least two times?
(I forgot the general formula)
The equation sec^2(x) + cos^2(x)=2 can be simplified to the equation:
How many three digit numbers that are not divisible by five can be formed from the digits 0,1,2,3, and 5 without repetition.
NS 6th place
CA 7th place
MA 2nd place