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Alex Ar [27]
3 years ago
8

Given a||b ,and cis not parallel to a or b which of the following are true ? Choose all answers that are correct.

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

Options B and D are true.

Step-by-step explanation:

See the diagram attached.

Line a and b are parallel and line c is not parallel to them.

There is a transverse line and this line forms the angles 1 to 12.

Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.

Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.

Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.

Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.

Therefore, options B and D are true. (Answer)

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<em>The polynomial function is,</em>

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<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

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\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)

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\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)

\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)

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\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10

\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40

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Therefore, this is the required polynomial function.


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N/A

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