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3 years ago

PWEEZ HELPPPPPPPPPPPPPP

Mathematics

1 answer:

garik1379 [7]3 years ago

5 0

1. m∠1 + m∠2 = 180°

2. Definition of bisector

3. m∠1 + m∠3 = 180°

4. Substitution Property of Equality

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Which of the following best describes a cone?

amm1812

Option B: A three-dimensional solid made from a pile of similar two-dimensional circles that grow smaller as the solid gets taller until it reaches a point at the vertex

The A is a cylinder, the D es pyramid, and I cannot figure out what the C is.

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3 years ago

Which describes the difference between the two sequences? First Sequence: 1, 6, 36, 216 ... Second Sequence: 3, 6, 9, 12, ... Th

mel-nik [20]

Answer:

The first sequence is geometric because there is a common ratio of 6. The second sequence is arithmetic because there is a common difference of 3.

Step-by-step explanation:

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3 years ago

Prove that there are infinitely many primes of the form 4k + 3, where k is a non-negative integer. [Hint: Suppose that there are

Simora [160]

Answer:

The prove is as given below

Step-by-step explanation:

Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.

Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.

Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).

Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.

So this indicates that there are infinite prime numbers of the form 4k+3.

6 0

3 years ago

Read 2 more answers

find three consecutive odd integers such that the square of the first plus the square of the third is 170

scZoUnD [109]

Here is the set up:

x
x + 2
x + 4

x^2 + (x + 2) + (x + 4)^2 = 170

Take it from here.

4 0

3 years ago

There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow

Ivanshal [37]

If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total}$

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

$\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow$

Finally, solve for x:

$8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow$

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!

6 0

3 years ago