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.
The answer is 24. it works like this. you subtract 2 from 12 and get 10. then add 5 to 10 to get 15. then subtract 2 from 15 and get 13. 13+5 is 18. and so on
If<span> it is perfectly clear which angle is being named, an angle may be referred to by its ... Supplementary Angles are </span>2 angles<span> the </span>sum<span> of whose </span>measures<span> is </span>180<span>°. ... THEOREM: </span>If<span> two congruent angles form a </span>linear pair<span>, </span>they<span> are right angles.</span>
Multiply 24 by 3/8 to find how many students ride the bus
24 times 3/8
Multiply straight across
72/8 = 9
x=2.5
Step-by-step explanation:
x+3.5/4=2(2x+2)/4
x+3.5=2x+2/2
x-2x+3.5=1
-x=(-3.5)+1
-x=(-2.5)
-x/(-1)=(-2.5)/(-1)
x=2.5
