Construct proofs for the following more challenging problems, using any of the rules in units 7-9. (unit 7 is rules of inference, unit 8 is rules of replacement, unit 9 is proofs and indirect proofs). f. a = (~ bv(c• ~ (a = (d• f v(c = g) 1. a) ( b g )
k. d) ~(t z), s v~(d) ~ z), a = ~ (s·t), w ~w, e (tvw) 10 (a) ~ e)

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

c. side angle side. u shares the same sides