Step-by-step explanation:
B) Surface Area
C) Volume
Figure A which has two rays connected at a vertex is an angle in this scenario.
<h3>What is an Angle?</h3>
This is formed when two rays share a common endpoint with there being different types of angles.
The common endpoint shared forms a vertex which is why Figure A was chosen as the most appropriate choice.
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Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
To complete the music program, a student must present one vocal performance, one instrumental performance, and compose one original work.
What Is A Complex Sentence?
One independent clause and at least one dependent clause connected by subordinating conjunction make up a complex sentence. One of the four fundamental forms of sentences in the English language is complex sentences.
Complex sentences need a minimum of three components:
Independent Clauses: In writing, independent sentences are made up of the whole concepts stated along with a noun and verb (a subject and predicate). Independent clauses are capable of standing alone as whole sentences.
Dependent Clauses: Dependent clauses, also known as the subordinate clause, include a noun and a verb but are unable to articulate a coherent idea.
Subordinating conjunctions: Subordinating conjunctions are used to connect dependent clauses to independent clauses in complex sentences. These are the connecting words between the two clauses.
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