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boyakko [2]
3 years ago
11

In Exercises 1-4, ill in the blank.

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

1. Supplementary

2. Complementary

3. Adjacent angles

4. Vertically opposite angles

Hope it helps. Please mark brainliest.

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at the local baseball diamond,the distance from home base to second base is 100 feet. Determine the distance from home base to f
Archy [21]

Answer:

  70.7 ft

Step-by-step explanation:

The triangle formed by home plate, first base, and second base is an isosceles right triangle with hypotenuse 100 ft. Then the side length (base-line distance between bases) is (100 ft)/√2 ≈ 70.7 ft.

___

For an isosceles right triangle with side lengths 1, the hypotenuse can be found from the Pythagorean theorem to be ...

  hypotenuse = √(side² + side²) = √(1²+1²) = √2

Then the diamond distances satisfy the proportion ...

  hypotenuse/side = 100 ft/(base distance) = √2/1

or ...

  base distance = (100 ft)/√2 ≈ 70.71068 ft

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3 years ago
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3 years ago
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There's only one solution...the one you get when you divide both sides by 22 to solve for x.  902/22 = 41.  That exponent on the x, the one you don't see, is a "1" which tells us that there is only 1 solution to this problem.  If your x is squared, then you have 2 solutions; if it's cubed, you have 3, etc.
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How to work the problem 44,756÷167
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3 years ago
What are the factors of 252 .
Naya [18.7K]

Answer:

252 is a composite number.

Prime factorization: 252 = 2 x 2 x 3 x 3 x 7, which can be written 252 = (2^2) x (3^2) x 7

The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factor pairs: 252 = 1 x 252, 2 x 126, 3 x 84, 4 x 63, 6 x 42, 7 x 36, 9 x 28, 12 x 21, or 14 x 18

Taking the factor pair with the largest square number factor, we get √252 = (√7)(√36) = 6√7 ≈ 15.875

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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