Supplementary = equal to 180 degrees.
We can set up an equation.
2x + x = 180
Combine like-terms:
3x = 180
Divide both sides by 3 to isolate the x.
x = 60.
So one angle is 60 degrees and since the other one is twice of x, it is 120 degrees. If you add 120 and 60 degrees, you should get 180 degrees.
Nevertheless, the measures of the angles are 60 and 120 degrees.
<u>Answer:</u>
B.The area of the base of the pyramid is 24cm^2.
C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
E.The volume of this pyramid is 72cm3.
<u>Step-by-step explanation:</u>
Area of base of the pyramid = l × w = 4 × 6 = 24 cm^2
Volume of rectangular pyramid = (l × w × h)/3 = (4 × 6 × 9)/3 = 72 cm^3
Volume of rectangular prism = w × h × l = 9 × 4 × 6 = 216 cm^3
So according to these calculations, the correct answer options are:
B.The area of the base of the pyramid is 24cm^2.
C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
E.The volume of this pyramid is 72cm3.
Answer:
They use the same triangle but in different sizes to make the big triangle.
Step-by-step explanation:
The height is increasing at the rate of (6/5π) ft/min.
It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.
For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone is - V=1/3hπr²
Learn more about integers here: brainly.com/question/20521181
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The window that has the shape of a kite has the area of the glass as 648 centimetre squared.
<h3>What is area of a figure?</h3>
Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,
The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).
Therefore,
area of kite = ab / 2
where
- a and b are the length of the diagonal
Therefore,
a = 18 + 18 = 36 cm
b = 15 + 21 = 36 cm
area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²
learn more on area here:brainly.com/question/2494000