The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
The answer to this question is D
Finding the equivalent angle of 
, the correct statements are given as follows:
- The Measure of the reference angle is 45.
.
.
<h3>What are equivalent angles?</h3>
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, the given angle is as follows:
It is on the third quadrant, as it is between pi and 1.5 pi, hence the equivalent on the first quadrant, also known as the reference angle, is given by:
The angle of 45º has equal sine and cosine, and tangent of 1, hence the correct statements are:
- The Measure of the reference angle is 45.
- .
- .
More can be learned about equivalent angles at brainly.com/question/24787111
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Answer:
Step-by-step explanation:
Algebraic expressions tend to have atleast one unknown variable in it. In order to solve the expression we need to assign a fixed value to that variable or isolate it if the expression is equal to another value. For example, in the following expression we have the variable x, if we give it a value of 5 we simply solve like a regular expression...
5x + 3
5(5) + 3
25 + 3
28
Therefore, if we swap the variable x for the value of 5 we would get a value of 28 in this algebraic expression.
Answer:
Progression: 11, 18, 25
Rule: Add 7
Step-by-step explanation:
Given
List of numbers: 8, 11, 13, 18, 25, 37
Sample Progression: 8, 13, 18; with common difference of 5
Required
Form a different progression using any three listed numbers
To solve this; we'll make use of trial and error methods;
<em>NB: I've tried several numbers; So, I'll just stick to the one that works</em>
To start with;
Select ->11
Add 7 to 11: 11 + 7 - > 18
Add 7 to 18: 18 + 7 -> 25
With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7
