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ollegr [7]
3 years ago
13

What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart

color #1fab54, angle, b, end color #1fab54? Choose 1 answer: Choose 1 answer: (Choice A) A Vertical angles (Choice B) B Complementary angles (Choice C) C Supplementary angles (Choice D) D None of the above
Mathematics
2 answers:
Elza [17]3 years ago
4 0

Answer:

Complementary angles.

Step-by-step explanation:

Notice that \angle a=\angle AXY, \angle b = \angle YXB  and \angle BXC = 90\°, by given.

\angle AXB = \angle AXY + \angle YXB, by sum of angles.

\angle AXB + \angle BXC = 180\°, by supplementary angles definition.

\angle AXB + 90\° = 180\°\\\angle AXB = 180\° - 90\°\\\angle AXB = 90\°

Which means,

\angle AXB = \angle AXY + \angle YXB = 90\°

Therefore,\angle a + \angle b = 90\°, in other words, angles a and b are complementary by definition.

olya-2409 [2.1K]3 years ago
4 0

Answer:

None of the Above

Step-by-step explanation:

It's right on Khan Academy

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What is the 32nd term of 311, 305, 299
nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

a_n = a_1 + (n - 1)d

To find d (the common difference) we can simply subtract one of the terms by the last, for example:

d = 299 - 305 \\d = -6 \\

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

d = 305 - 311\\d = -6

We also have to know that a_1 stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503

Good luck!

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Step-by-step explanation:

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Step-by-step explanation:

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