Answer:
Part a) The measure of the sum of all angles in a regular dodecagon is equal to 1,800 degrees
Part b) The measure of one of its interiors angles is 150 degrees
Part c) The measure of one of its exterior angles is 30 degrees
Step-by-step explanation:
Part a) What is the measure of the sum of all angles in a regular dodecagon (12 sides)
we know that
The formula to calculate the sum of the interior angles in a regular polygon is equal to
where
n is the number of sides of regular polygon
In this problem a regular dodecagon has n=12 sides
substitute
Part b) What is the measure of one of its interiors angles?
To find out the measure of one of its interior angles, divide the sum of all angles by the number of sides
Part c) What is the measure of one of its exterior angles?
we know that
The sum of one interior angle and its corresponding exterior angle must be equal to 180 degrees
Let
x ---> the measure of one exterior angle
solve for x
Answer: a package of cookies cost $ 5 and each bag of chips cost $5
Step-by-step explanation:
Let x represent the cost of a package of cookies and y represent the cost of a bap of chips ,then from the first statement :
4x + 4y = 40
dividing through by 4 , we have
x + y = 10 ........................... equation 1
From the second statement
3x + 5y = 40 ..................... equation 2
Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is
x = 10 - y ................... equation 3
substitute x = 10 - y into equation 2 , we have :
3 (10 - y ) + 5y = 40
30 - 3y + 5y = 40
30 + 2y = 40
subtract 30 from both sides
2y = 40 -30
2y = 10
y = 5
substitute y = 5 into equation 3 , equation 3 becomes
x = 10 - 5
x = 5
Therefore ; a package of cookies cost $ 5 and each bag of chips cost $5
Answer:
43in
it might be wrong but that's what I got
Answer:
She is correct.
Step-by-step explanation:
5:6 means that you add 5 + 6 = 11 which means that the answer is 11.
Answer:
opt 4
Step-by-step explanation:
when x=0, 0+3y= -3, so y=-1 (0,-1) is solution
when x=3 , 21+3y=-3, 3y= -3-21= -24
y= -8 (3,-8) is also solution
