I am good with all math from alg-calc
Answer:
Step-by-step explanation:
B=3x-2
C=12x+2
D=B=3x-2 (Vertically opposite angles)
A=?
Now; we know, A+B+C+D=360 deg.
=>A=360-(B+C+D)
=360-(3x-2+12x+2+3x-2)
=360-(18x-2) ----[1]
B+C=180 deg. (linear pair)
=> 3x-2+12x+2=180
=> 15x=180
=> x=180/15
=12 ---[2]
subsitute [2] in [1];
=> A= 360-(18x-2)
= 360-(18*12-2)
= 360-(116-2)
= 360-214
= 146 deg.
So, the correct answer is (D).
Hope the answer is useful.
Answer:
$57.5 is the total cost to build the pen.
Step-by-step explanation:
We are given the following in the question:
A livestock pen is built in the shape of a rectangle.
The length of rectangle is two times the width.
Let l be the length of rectangle and w be the width of rectangle. Thus, we can write
![l = 2w](https://tex.z-dn.net/?f=l%20%3D%202w)
Perimeter = 30 feet
![\text{Perimeter of rectangle} = 30\\2\times (l\times w) = 30](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20of%20rectangle%7D%20%3D%2030%5C%5C2%5Ctimes%20%28l%5Ctimes%20w%29%20%3D%2030)
Putting values,
![2(2w + w) = 30\\6w = 30\\w = 5\\l = 2w = 10](https://tex.z-dn.net/?f=2%282w%20%2B%20w%29%20%3D%2030%5C%5C6w%20%3D%2030%5C%5Cw%20%3D%205%5C%5Cl%20%3D%202w%20%3D%2010)
The length of rectangle is 10 feet and width of rectangle is 5 feet.
If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides
Cost of building =
![=2\times(\text{Cost of length}\times \text{Length} + \text{Cost of width}\times \text{Width})\\=2\times(1.75\times 10 + 2.25\times 5)\\=57.5](https://tex.z-dn.net/?f=%3D2%5Ctimes%28%5Ctext%7BCost%20of%20length%7D%5Ctimes%20%5Ctext%7BLength%7D%20%2B%20%5Ctext%7BCost%20of%20width%7D%5Ctimes%20%5Ctext%7BWidth%7D%29%5C%5C%3D2%5Ctimes%281.75%5Ctimes%2010%20%2B%202.25%5Ctimes%205%29%5C%5C%3D57.5)
Thus, $57.5 is the total cost to build the pen.
The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation::
6 + 2n > 12
Subtracting 6 from both sides:
6 + 2n - 6 > 12 - 6
2n > 6
Dividing by 2:
n > 3
The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.
Find out more on equation at: brainly.com/question/2972832
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