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s2008m [1.1K]
3 years ago
11

Use a definition, postulate, or theorem to find the value of x in the figure described.

Mathematics
1 answer:
Yuri [45]3 years ago
5 0
The Definition of Linear Pair states that both ∠ABC and ∠CBD are equal to 180 degrees. In the question, this tells you that 
m∠ABC and m∠CBD = (3x − 6). 
So, you're equation should be (3x - 6) + (3x - 6) = 180. 
You would then solve to get 6x - 12 = 180, 6x = 192, x = 32
x=32, and we used the Linear Pair Theorem (C)

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The sides of the base of a right square pyramid are 4 m in length , and its slant height is 8 m. If the lengths of the sides of
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Answer:

16

Step-by-step explanation:

We have that the total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base, therefore it would be equal to:

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where l are the sides that measure 4, p is the perimeter that is the sum of the sides, and since there are 4 sides then it would be 16 (4 * 4), h the inclined height is 8, replacing we are left with:

As = 1/2 * 16 * 8 + 4 ^ 2

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Now, they say that the sides and the tilt height are multiplied by 4, the sides now measures 16, therefore the perimeter is 64 (4 * 16), the height would be 32, replacing would be:

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3 years ago
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