Answer:
369 students have taken a course in either calculus or discrete mathematics
Step-by-step explanation:
I am going to build the Venn's diagram of these values.
I am going to say that:
A is the number of students who have taken a course in calculus.
B is the number of students who have taken a course in discrete mathematics.
We have that:
In which a is the number of students who have taken a course in calculus but not in discrete mathematics and 
is the number of students who have taken a course in both calculus and discrete mathematics.
By the same logic, we have that:
188 who have taken courses in both calculus and discrete mathematics.
This means that 
212 who have taken a course in discrete mathematics
This means that 
345 students at a college who have taken a course in calculus
This means that 
How many students have taken a course in either calculus or discrete mathematics
369 students have taken a course in either calculus or discrete mathematics
For any quadrilateral to be a parallelogram
i) either both the pairs of opposite sides must be equal
ii) Both the pairs of opposite sides must be parallel
iii) Opposite pairs of angles must be equal
iv) Diagonals must bisect each other.
v) A pair of opposite sides must be parallel and equal
Here we are already given that AB || CD
So either we should be given that AD || BC
or we must be given that AB = CD
Here it is given AB = CD as an option.
So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.
Answer:
225.5
Step-by-step explanation:
So, you would start by doing
220 times 2.5% that would equal 5.5
Then you would add
220 + 5.5 = 225.5
Therefore your answer will be 225.5
Answer:
The total amount paid by Jill = $ (3 d)
Step-by-step explanation:
Here, the cost of 1 book = $ d
Now, the number of books purchased by Jill = 3
So, the total cost of 3 books = 3 x ( Cost of 1 book)
= 3 x ($d) = 3 d
So, if Jill purchased 3 books, the total amount paid by her = $ (3 d)
