3x + 40 + x = 180
-40. -40
——————————-
4x. 140
—. ——-
4. 4
x = 35
Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>

<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.

The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid

The sum of both figures represents the total volume of the composite figure

Therefore, the right answer is 415.4 cubic feet.
Answer: 51 uinits
The three numbers are x , x + 21 and x + 27.
The greatest of the 3 numbers is x + 27, so x + 27 has to be the hypotenuse.
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Pythagoras Theorem
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a² + b² = c²
x² + (x+21)² = (x+27)²
x² + x² + 42x + 441 = x² + 54x + 729
x² - 12x -288 = 0
(x - 24)(x + 12) = 0
x = 24 or x = -12 (rejected, length cannot be negative)
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Find hypotenuse
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Hypotenuse = x + 27 = 24 + 27 = 51 units
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Answer: 51 units
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Answer:
450cm²
Step-by-step explanation:
The area of the kite is made up of two pairs of congruent triangles. Find the area of these and add to get the kite's area. (area of triangle = (1/2)(base)height))
2(0.5*15*20)+2(0.5*15*10)
300+150
450
P = 2m + 2w
Add -2w on both sides of the equations
2m = p - 2w
Divide both sides by 2
2w = p = 2m
/ 2 /2
m = 1 / 2 p - w