In probability, problems involving arrangements are called combinations or permutations. The difference between both is the order or repetition. If you want to arrange the letters regardless of the order and that there must be no repetition, that is combination. Otherwise, it is permutation. Therefore, the problem of arrange A, B, C, D, and E is a combination problem.
In combination, the number of ways of arranging 'r' items out of 'n' items is determined using n!/r!(n-r)!. In this case, you want to arrange all 5 letters. So, r=n=5. Therefore, 5!/5!(505)! = 5!/0!=5!/1. It is simply equal to 5! or 120 ways.
Answer:
◽Angle 14 and Angle 12
◽Angle 10 and Angle 8
Step-by-step explanation:
Vertical angles are opposite to each other on a pair of intersecting lines.
◽Angle 1 and Angle 4
These angles are not on the same two intersecting lines.
◽Angle 14 and Angle 12
These angles are on the same two intersecting lines. They are also opposite to each other.
◽Angle 7 and Angle 8
These angles are on the same intersecting lines, but they are not opposite to each other.
◽Angle 10 and Angle 8
They are on the same pair on lines, and opposite to each other.
◽Angle 3 and Angle 5
They are not on the same pair of intersecting lines.
◽Angle 8 and Angle 12
These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).
Answer:
12
Step-by-step explanation:
2d+24+3d=84
2d+3d=60
5d=60
d=12
A2 + b2 = c2
Number 1 is 15.1986.... or 15.2
Explanation: 5 squared is 25 and 16 squared is 256. Subtract 256 minus 25 to get 231, then divide it by the square root.
Number 2 is 7.21111.... or 7.2
Explanation: 6 squared plus 4 squared is 52, square root of 52= 7.2
Answer:
See below
Step-by-step explanation:
Part A:
area of parallelogram = base * height
A = 9 ft * 8/9 ft = 8 ft^2
Part B:
Connect point D to point B with a segment. Now you have 2 triangles.
The area of each triangle is base * height/2
area of triangle = bh/2 = (9 ft)(8/9 ft)/2 = 4 ft^2
