Does the congruence equation

6x ≡ 7(mod 25)

have a solution for x (notice that congruence only makes sense if x ∈ z so you are looking for integer

solutions)? if it does, find the solution. if it does not, prove that it does not.

What should be done to both sides of the equation in order to solve -5m = -40? a) multiply by -5. b) divide by -5. c) multiply by -40. d) divide by -40.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)

M∠cbd=4x+52∘ m∠abc=8x−10∘\qquad m \angle abc = 8x - 10^\circm∠abc=8x−10∘ find m∠cbdm\angle cbdm∠cbd: