Answer: There are 1800 unique names from both the lists.
Explanation:
Since we have given that
there are two lists :
In First list, number of names = 1200
In Second list, number of names = 900
According to question , we have also given that
there are 150 names that appear on both lists,
So,
Number of unique names in the first list is given by

Number of unique names in the second list is given by

Therefore, total number of unique names is given by

Hence, there are 1800 unique names from both the lists.
Answer:
1863 
Step-by-step explanation:
( 23 x 12 ) x 2 = 552
69 x 19 = 1311
1311
<u>+552</u>
= 1863 
Answer:

Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

The area of the triangle is 1/4 of this. Therefore:

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

Since DE = DF:

Thus:

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

Therefore:

Square:

Add:

And finally, we can take the square root of both sides:

Answer:
m= 
Step-by-step explanation:
1. Use the slope equation to solve the problem

2. Plug in your values into the equation.

3. Simplify the equation.
m= 
The answer to your question is B.Opposite sides are parallel.