Answer:
1. A
2.D
3.B (parallel lines)
4.B
5. i don't have a picture of the figure so i'm not sure
Answer:
arc EFC = 237°
Step-by-step explanation:
arc DEF = 140°
arc EF = 140° - 83° = 57°
arc DC = arc FG
arc DC = (360° - 140° - 140°)/2 = 40°
arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°
Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:

which contains multiple solution if one tries to solve for x when the differentiated form is 0.
I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.
If, however, the function is

Then differentiating and equating to 0 yields:

which gives:

or

We reject x=5 as it is when it ix the maximum and thus,

, for
Answer:
0.80A + 0.92B = 63 .....1
A + B = 75 ......2
Step-by-step explanation:
Let A and B represent the total possible score in part A and B respectively;
Analysing each sentence of the question;
Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63
80% of A + 92% of B = 63
0.80A + 0.92B = 63 ......1
The total possible marks for the test was 75;
A + B = 75 .....2
So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.
Solving the simultaneous equations, we will arrive at;
Part A = 50
Part B = 25
The unit price would be $8.
48/6 = 8