Answer:
The correct answers are B, C, and E.
B. < 4 and < 3
C. < 4 and < 5
E. < 3 and < 6
Step-by-step explanation:
The pairs in options B, C, and E add up to 180°, which is the definition of a supplementary angle.
Hope this helps!
Answer:
We start with the equation:
A: 3*(x + 2) = 18
And we want to construct equation B:
B: X + 2 = 18
where I suppose that X is different than x.
Because in both equations the right side is the same thing, then the left side also should be the same thing, this means that:
3*(x + 2) = X + 2
Now we can isolate the variable x.
(x + 2) = (X + 2)/3
x = (X + 2)/3 - 2
Then we need to replace x by (X + 2)/3 - 2 in equation A, and we will get equation B.
Let's do it:
A: 3*(x + 2) = 18
Now we can replace x by = (X + 2)/3 - 2
3*( (X + 2)/3 - 2 + 2) = 18
3*( (X + 2)/3 ) = 18
3*(X + 2)/3 = 18
(X + 2) = 18
Which is equation B.
Answer: 20 feet by 20 feet.
Step-by-step explanation:
1. You know that
is the original measure of one side. Since it is a square, all its sides are equal.
2. Therefore, to solve the problem you only need to solve for
, as you can see below:
- You have that:

- Then, you obtain the following quadratic equation:

- Apply the Quadratic formula to solve it:

- Then, you obtain:

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.
Area = length · width
Area = 3ft · 2ft
Area = 6ft²
hope this helps!
Area of rectangle is 
Step-by-step explanation:
Given:
Length of rectangle = 2x-9
Width of rectangle = x+5
Required:
Area of rectangle
Formula:

Putting values of length and width:

So, Area of rectangle is 
Keywords: Area of rectangle
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