M∠QPS=40 ∘ m, angle, Q, P, S, equals, 40, degrees \qquad m \angle RPS = 8x + 7^\circm∠RPS=8x+7 ∘ m, angle, R, P, S, equals, 8, x, plus, 7, degrees \qquad m \angle QPR = 9x + 16^\circm∠QPR=9x+16 ∘ m, angle, Q, P, R, equals, 9, x, plus, 16, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:

(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

Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

Aclothing store has the sign shown in the shop window. pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. the cost of each shirt before the discount is $12, and the cost of each pair of jeans is $19 before the discount. write and simplify an expression to find the amount pani pays if a $3 discount is applied to her total