Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your
1 answer:
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Answer:
Both proportions are equivalent.
Step-by-step explanation:
We have been given two proportions and
. We are asked to find why the solutions to our given proportions are equal.
We can solve proportions by cross multiplying them.
After cross multiplying our both proportions we will get same equation that is:
Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.
We are given an angle of 60° and a side of 15 cm.
We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.
sin = opp/hyp
hyp = 15 / sin 60
hyp = 17.32...
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We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.
tan = opp/adj
adj = 15 / tan 60
adj = 8.660.....
8.660....² + 15² = 300²
since the square root of 300 is an irrational number, we have to turn it into a mixed radical.
The answer would be the top one.
