Answer:
top right is alternate interior and top left is corresponding
Step-by-step explanation:
A.
(4, 0)
B.
(0, 4)
C.
(–2, –3)
D.
(–3, –2)
Simplify the following:
(3 + 1/3)/(2 + 2/5)
Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:
(3 + 1/3)/((5×2)/5 + 2/5)
5×2 = 10:
(3 + 1/3)/(10/5 + 2/5)
10/5 + 2/5 = (10 + 2)/5:
(3 + 1/3)/((10 + 2)/5)
10 + 2 = 12:
(3 + 1/3)/(12/5)
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
((3×3)/3 + 1/3)/(12/5)
3×3 = 9:
(9/3 + 1/3)/(12/5)
9/3 + 1/3 = (9 + 1)/3:
((9 + 1)/3)/(12/5)
9 + 1 = 10:
(10/3)/(12/5)
Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:
(10×5)/(3×12)
The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):
(5×5)/(3×6)
3×6 = 18:
(5×5)/18
5×5 = 25:
Answer: 25/18
B)-5x + 5y - 5
C)5x + 5y + 5
D)-5x - 5y + 5
B: -5x + 5y - 5
Hope this is the answer you're looking for (:
2x - 8x - 6y + 9 - 14 + x + 11y
-6x + x - 6y + 11y - 5
-5x + 5y - 5
So the answer should be B
The volume of the rectangular set of stairs is V = 12,960 inches³
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the total volume of the rectangular set of stairs be represented as V
Now , the value of V is
Let the volume of the first stair be A
The length of stair A = 30 inches
The width of A = 12 inches
The height of A = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair A = 30 x 12 x 4 = 1,440 inches³
Let the volume of the second stair be B
The length of stair B = 30 inches
The width of B = 36 inches
The height of B = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair B = 30 x 36 x 4 = 4,320 inches³
Let the volume of the third stair be C
The length of stair B = 30 inches
The width of B = 60 inches
The height of B = 4 inches
Volume of Rectangle = Length x Width x Height
So , the volume of stair C = 30 x 60 x 4 = 7,200 inches³
Now , the total volume of stairs V = A + B + C
On simplifying , we get
The total volume of rectangular stairs V = 1,440 + 4,320 + 7,200 inches³
The total volume of rectangular stairs V = 12,960 inches³
Hence , the volume of rectangular stairs is 12,960 inches³
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