solve the following linear program using solver. attach your excel file that shows the populated template and the solver output.
max 5a + 5b
s. t.
1a < = 100
1b < = 80
2a + 4b < = 400
a, b, > = 0
attach file

The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?

Which of these lines passes through the point (1,-1) and has a slope of -3?