Which of these statements are true?
1 answer:
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Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.
For substitution method we substitute the value of x or y from one equation to other.
Let:
Putting value of y from equation 2 into equation 1
So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2
Now, putting value of x in equation 1
So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
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.
Law of sine:
The sides of a triangle are to one another in the same ratio as the sines of their opposite angles.
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.
It is false by the above definition of law of cosine.
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".