Answer:
The people can sit in 1,152 possible ways if all men must sit together and all women must sit together.
Explanation:
The 4 men must sit together.
Number of ways to arrange the 4 men together
= 4! = 4 x 3 x 2 x 1 = 24
Similarly, the 4 women must sit together.
Number of ways to arrange the 4 women together
= 4! = 4 x 3 x 2 x 1 = 24
Now the 8 chairs are placed in a row. There are 2 ways to arrange the men and women: either the men must sit in the first 4 chairs and women in the last 4 chairs, or the women must sit in the first 4 chairs and men in the last 4 chairs.
Hence, total number of ways to arrange the 8 people
= 24 x 24 x 2
= 1,152
ANSWER:
A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.
For m angle 1 -
Vertically opposite angles are equivalent to each other.
m angle 1 is vertically opposite m angle 4.
Therefore:
m angle 4 = 100
m angle 1 = m angle 4
m angle 1 = 100
For m angle 6 -
Co-interior angles add up to 180°.
m angle 4 and m angle 6 are co-interior angles.
Therefore:
m angle 4 = 100
m angle 4 + m angle 6 = 180
100 + m angle 6 = 180
m angle 6 = 180 - 100
m angle 6 = 80
For m angle 7 -
Vertically opposite angles are equivalent to each other.
m angle 6 is vertically opposite m angle 7.
Therefore:
m angle 6 = 80
m angle 7 = m angle 6
m angle 7 = 80
For m angle 8 -
Corresponding angles are equivalent to each other.
m angle 8 and m angle 4 are corresponding angles.
Therefore:
m angle 4 = 100
m angle 8 = m angle 4
m angle 8 = 100
Hence, the angles are as follows:
m angle 1 = 100
m angle 6 = 80
m angle 7 = 80
m angle 8 = 100
Hope this helps! <3
The sample is not going to be accurate because it's at the same restaurant in Bedford and there more likely to say the place there eating at
2 because it is when you round 3/4 to 1 and 18/19 to 1. you then add 1+1 equals 2 . so my answer is correct.
The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
learn more about of rational numbers here
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