Answer:
D. 5/6
Step-by-step explanation:
There are 30 marbles
If you add the black, red, and green marbles together, you get 25
25/30 is equivalent to 5/6
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
If the question is 6,372= 35x and you were solving for x the answer would be found by dividing 6372 by 35. this would leave you with 182.1=x

A = 47900
i = 5% = .05
n = number of compounding periods in a year (1,2,12,365)
t = number of years = 5
Answer:


Step-by-step explanation:
Marginal average Cost function:

Marginal average Revenue function:
