Answer:
12.
m∠ACB = 180° - 58° - 78° = 44°
m∠DCE = 180° - 85° - 60° = 35°
m∠BCD = 180° - 44° - 35° = 101°
13.
Base on the picture, we know that:
x° + 2x° + 3x° = 180°
6x° = 180°
x° = 180° ÷ 6 = 30°
=> m∠K = 2x° = 2 × 30° = 60°
=> m∠L = 3x° = 3 × 30° = 90°
=> m∠KML = x° = 30°
m∠LMN = 60° + 90° = 150°
By definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
Well, we would first have to write an equation. Let's start with letter (a). We will put in the variable (x) for the number of children there were, because we don't know how many there were. So... IF we knew how many children there were, what would we do to find out how much pie each child got? Of course, we would divide! Soooo....
6 (mangos) divided by x (the number of children) = 5/6
Now, we solve for x!
So, our first step in the equation 6/x=5/6 would be to multiply, because multiplication is the opposite of division! So, just let me see if I can work this.....
6/x(×)5/6
So, we now can cross multiply and get...
5x=36 (Because 5 time x is 5x and 6 times 6 is 36)
Now, we divide!
So, 5x/5 cancels out and we get just plain little x. 36/5 gives us.....
Improper Fraction Form: 36
Mixed Number Form: 7 1/5
Decimal Form: 7.2
And that's your answer! I really hope this helps! ^_^
It would be .01 or .0y in your case
A) Look at the coordinates of the four dots:
(0,0) (150,50) (300,100) (450,150)
Divide the x's by the y's ( other than the (0,0) one:
150/50 = 3
300 / 100 = 3
450/150 = 3
The ratio is the same for all of them and the first set is (0,0) so it is a direct variation graph.
B) The constant of proportionality is the ratio found above by dividing the X values by the Y values, which is 3.
