Answer:
3
Step-by-step explanation:
30/9 = 3.33333333333
Since there the maximum amount of lanes there can be is 3 without having a remainder, the answer is three.
<span>Inductive reasoning is that when two lines intersect you will always have a pair of congruent angles considering an exception when all the angles are congruent. According to this,
1) Vertical angles (or opposite angles) are congruent. In this case, vertical angles could be acute or obtuse depending on the position of the lines.
2) The second case is the exception when all the angles are equal. It means that the lines are perpendicular.
3) Again back to the first case, vertical angles are equal or congruent in other words.
4) And again back to the second case when the lines are perpendicular, then all the angles that formed are equal to each other.
You can observe all the cases in the picture attached below.</span>
Answer:
Step-by-step explanation:
The given relation between length and width can be used to write an expression for area. The equation setting that equal to the given area can be solved to find the shed dimensions.
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<h3>Given relation</h3>
Let x represent the width of the shed. Then the length is (2x+3), and the area is ...
A = LW
20 = (2x+3)(x) . . . . . area of the shed
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<h3>Solution</h3>
Completing the square gives ...
2x² +3x +1.125 = 21.125 . . . . . . add 2(9/16) to both sides
2(x +0.75)² = 21.125 . . . . . . . write as a square
x +0.75 = √10.5625 . . . . . divide by 2, take the square root
x = -0.75 +3.25 = 2.50 . . . . . subtract 0.75, keep the positive solution
The width of the shed is 2.5 feet; the length is 2(2.5)+3 = 8 feet.
Answer:
D
Step-by-step explanation:
C=0.05M+40
Cost = 5 cents per minute plus 40 dollars
<h3>
Answer: 180 inches</h3>
Work Shown:
L = 54 = length
W = 36 = width
P = 2(L+W) ... perimeter of the rectangle
P = 2(54+36)
P = 2(90)
P = 180
She needs 180 inches of ribbon.
To convert to feet, divide by 12. So 180 inches = 180/12 = 15 feet.