Answer:
a) centre angles are double the circumference
b) 60 degrees
c) 120 degrees
Step-by-step explanation:
for c) the opposite angles in a cyclic quadraleteral add to 180 so take 60 from 180 to get 120
Y=mx+b
4m+b=3
2m+b=7
4m+b-2m-b=-4
2m=-4
m=-2
4(-2)+b=3
-8+b=3
b=11
The slope of line: Y=-2x+11
That's your answer, lovely~
Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28
Where x = how many people ordered chicken
and y = how many people ordered egg salad
Through elimination , we can set one of the variables in both equations equal so we can eliminate it :
(4)x + (4)y = (4)6
5x + 4y = 28
4x + 4y = 24. equation 1
5x + 4y = 28. equation 2
Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1
5x - 4x + 4y - 4y = 28 - 24
x = 4
Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)
x + y = 6
x= 4
4 + y = 6
We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2
x=4 and y=2
So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!
I hope you understood my brief explanation!!
p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here
So, use the distance between two points formula:squareroot((x2-x1)^2+(y2-y1)^2)
squareroot((-7--4)^2+(8-7)^2)
squareroot((-3)^2+(1)^2)
squareroot((9+1)
squareroot(10)
squareroot 10 can be simplified to 3.2 units