In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in
some cases the Law of Sines returns two possible measurements.
Consider the diagram below, and assume that m∠B=61∘, ¯¯¯¯¯¯¯¯AB=4.27 cm, and ¯¯¯¯¯¯¯¯AC=3.98 cm.
Using the Law of Sines, determine the value of m∠C. You should notice that there are actually two possible values - list both of them (separated by a comma).
m∠C= °
If we assume the diagram is to scale, which value of m∠C makes more sense? Enter the appropriate value.
m∠C= °
Using your answer to part (b), determine the length of BC.
¯¯¯¯¯¯¯¯BC= cm
Consider the diagram below, and assume that m∠B=61∘, ¯¯¯¯¯¯¯¯AB=4.27 cm, and ¯¯¯¯¯¯¯¯AC=3.98 cm.
Using the Law of Sines, determine the value of m∠C. You should notice that there are actually two possible values - list both of them (separated by a comma).
m∠C= °
If we assume the diagram is to scale, which value of m∠C makes more sense? Enter the appropriate value.
m∠C= °
Using your answer to part (b), determine the length of BC.
¯¯¯¯¯¯¯¯BC= cm
1 answer:
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Given:
The system of equations is:
Line A:
Line B:
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get
Divide both sides by 2.
Substituting in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting in the given equations.
This statement is true.
Similarly,
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.