Answer:
I think its c but im not sure
Answer:
Explanation:
Number the sides of the decagon: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, from top (currently red) clockwise.
- The side number one can be colored of five different colors (red, orange, blue, green, or yellow): 5
- The side number two can be colored with four different colors: 4
- The side number three can be colored with three different colors: 3
- The side number four can be colored with two different colors: 2
- The side number five can be colored with the only color left: 1
- Each of the sides six through ten can be colored with one color, the same as its opposite side: 1
Thus, by the multiplication or fundamental principle of counting, the number of different ways to color the decagon will be:
- 5 × 4 × 3 × 2 ×1 × 1 × 1 × 1 × 1 × 1 = 120.
Notice that numbering the sides starting from other than the top side is a rotation of the decagon, which would lead to identical coloring decagons, not adding a new way to the number of ways to color the sides of the figure.
Answer:
The answer to your question is: 30°
Step-by-step explanation:
Data
m∠ 1 = 5x
m∠ 3 = x - 24
Process
m ∠ 1 = m ∠ 3 because they are vertical angles
5x = x - 24
5x - x = 24
4x = 24
x = 24 / 4
x = 6
Angle 1 = 5(6)
= 30°
Answer:
x = 17, y = 9
or as an ordered pair, (17, 9).
The equations are consistent.
Step-by-step explanation:
2x - 3y = 7
x - 2y = -1 Multiply this equation by -2:
-2x + 4y = 2 Add this to the first equation:
y = 9.
Plug y = 9 into the second equation:
x - 2*9 = -1
x = -1 + 18 = 17.
K = LMN
We divide both sides by LN:-
M = K / LN
