Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Statistics</u>
- Mean:
Step-by-step explanation:
<u>Step 1: Define</u>
Total: 67005 + 67004 + 67006 + 67006 + 67005 + 67005 + 67004 + 67005
Amount: 8 numbers
<u>Step 2: Find mean</u>
- Substitute:
- Add:
- Divide:
And we have our final answer!
Answer:
Step-by-step explanation:
The area of the rectangular window is equal to the product between the length of the window and its width:
(1)
where
A is the area
L is the length
W is the width
In this problem, the area of the glass window is
This can be rewritten as
(2)
The two expressions, in fact, are equivalent.
Also, we know that the width is
(3)
By comparing (1) with (2) and (3), we notice immediately that
Therefore, this is the length of the glass pane.
Subtract 7x from both sides.
5=-x
Therefore,
x=-5
<h2>
Answer:</h2>
Shown below
<h2>
Step-by-step explanation:</h2>
The first system of inequality is the following:
To find the solution here, let's take one point, say, and let's taste this point into both inequalities, so:
<h3>FIRST CASE:</h3>
First inequality:
The region is not the one where the point lies
Second inequality:
The region is the one where the point lies
So the solution in this first case has been plotted in the first figure. As you can see, there is no any solution there
<h3>SECOND CASE:</h3>
First inequality:
The region is the one where the point lies
Second inequality:
The region is not the one where the point lies
So the solution in this first case has been plotted in the second figure. As you can see, there is a solution there.
CONCLUSION: Notice that when reversing the signs on both inequalities the solution in the second case is the part of the plane where the first case didn't find shaded region.
Answer:
False
Step-by-step explanation:
Yes, they do give vertical angles, which by definition means opposite angles created by intersecting lines. BUT, these angles are not supplementary, as they don't always complete eachother. If they were supplementary, they would not be vertical angles. Instead, they create CONGRUENT veritcal angles.
Hope this helped!