Given: m∠XPZ = 40°; m∠XPY = 10°

If ∠XPW and ∠XPY are supplementary angles, then what is the measure of ∠XPW

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

What is the length of the unknown leg in the right triangle ?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).