The student government is holding elections for president. there are four candidates (labeled a, b, c, and d for convenience). the preference schedule for the election is: number of voters 120 50 40 90 60 100 1st choice c b d a a d 2nd choice d c a c d b 3rd choice b a b b c a 4th choice a d c d b c a. how many voters voted in this election? b. how many votes are needed for a majority? a plurality? c. find the winner under the plurality method. d. find the winner under the borda count method. e. find the winner under the instant runoff voting method. f. find the winner under copeland’s method.

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh