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Reil [10]
3 years ago
15

Which two lines must be parallel in the diagram?

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0

Answer: j || k

Step-by-step explanation:

only j and k are explicitly shown to be 90 degrees, so they must be parallel since they have the same angle when intersected by line <em>l.</em>

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Step-by-step explanation:

y = 4x + 1 and y = -2x + 4

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Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

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Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Given ∠P and the sides r, q are known.

<u>To find the value of p:</u>

Option A: Law of cosines, all sides are known.

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Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

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