I need answer quickly

a is the # of elements in A but NOT B, that is A ONLY

b is the # of elements in B but NOT A, that is B only

N is the # of elements in the INTERSECTION of A and B

a + N = 99

b + N = 25

a + b + N = 123

Subtracting the first two equations: a - b = 74

Subtracting the last two equations: -a = -98

a = 98

So then a - b = 74 and a = 98

98 - b = 74

-b = -24

b = 24

a = 98, b = 24 and a + b + N = 123

98 + 24 + N = 123

122 + N = 123

N = 1

98 are in A only

24 are in B only , which is the answer to the question

1 is in both A and B

Step-by-step explanation:

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.