Answer: Choice B) Angle L = Angle O
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If we know that Angle L is congruent to Angle O, then we can use the AAS (angle angle side) congruence property. We have one pair of angles marked by the square marker (angle J and angle M). So they are congruent angles. We have a pair of congruent sides JK = MN = 3. So we're just missing a pair of angles.
Note: The answer is NOT angle K = angle N because this would mean ASA would be used instead of AAS. The order of the letters is important as it establishes how the sides and angles relate. With ASA, the side is between the angles. With AAS, the side is not between the angles.
Length should be 2/5yd:
18inch*1yd/36inch=.5yd=> depth
volume= 2(length*width+lenght*depth+depth*width)
let l to be the length.
volume= 2(l*2+2(.5)+.5*2)
volume=5l+2
4=5l+2
2=5l
l=2/5
The circumference of the drain to the nearest tenth is 15.10 inches.
<h3>What is the circumference?</h3>
The circumference of the drain is the distance round the drain. Since the drain has the shape of a circle, the formula used to determine the circumference of a circle would be used to determine the circumference of the drain.
Circumference of the drain = πd
3.14 x 4.8 =15.10 inches
To learn more about how to determine the circumference of a circle, please check: brainly.com/question/14351152
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Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
