The line has been partitioned into three angles. Is there a triangle with these three angle measures?
1 answer:
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Let us draw a triangle ABC with A=15° ,B=113° and b=7.
Please see the attached image.
We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have
Apply Sine rule in the triangle ABC, we get
Therefore, we have
Answer:
a) , b) $101
Step-by-step explanation:
Hermes: 8 envelopes, $218
Apollo: 5 envelopes, $521
If x is the amount in each envelope, H is the amount Hemes has and A is the amount Apollo has, this would be a possible system of equations.
If Apollo and Hermes both had the same amount of total money, A and H could equal y
We want to find the amount in each envelope (x), so we can substitute y in the first equation for y in the second equation:
Subtract from both sides
Subtract 218 from both sides
Divide both sides by 3
So there would have to be $101 in both envelopes for Apollo and Hermes to have the same amount of total money.