Answer:
Step-by-step explanation:
Tan(51) = opposite / adjacent
The adjacent side makes up the reference angle (51o)
The opposite side is not part of the reference angle
adjacent side = x
opposite side = 16
Tan(51) = 16 / x Multiply both sides by x
x * Tan(51) = 16 Divide by tan 51
x = 16 / tan(51)
tan(51) = 1.2349
x = 16 / 1.2349
x = 12.96
The answer is on the paper
Using proportions, it is found that their mom put 90 candies in the bowl.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
For this problem, the total amount is of x, hence, from the text:
- Tom's fraction is .
- Carlos' fraction is .
- Mary's fraction was of:
The remaining fraction after Mary was:
This amount is of 12, hence the total number of candies was:
2x/15 = 12
2x = 15 x 12
x = 15 x 6
x = 90.
More can be learned about proportions at brainly.com/question/24372153
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(-2, 0)
You can find this by getting the average of the x's and the average of the y's.