A pond is being dug according to plans that have a scale of 3 inches = 9 feet. What is the scale factor of the Plans?
2 answers:
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Given that ∠B ≅ ∠C.
to prove that the sides AB = AC
This can be done by the method of contradiction.
If possible let AB =AC
Then either AB>AC or AB<AC
Case i: If AB>AC, then by triangle axiom, Angle C > angle B.
But since angle C = angle B, we get AB cannot be greater than AC
Case ii: If AB<AC, then by triangle axiom, Angle C < angle B.
But since angle C = angle B, we get AB cannot be less than AC
Conclusion:
Since AB cannot be greater than AC nor less than AC, we have only one possibility. that is AB =AC
Hence if angle B = angle C it follows that
AB = AC, and AB ≅ AC.
We have been given that a store manager paid $95 for an item and set the selling price at $116.85. We are asked to find the percent mark-up.
We will use percent increase formula to solve our given problem.
Therefore, the mark-up will be 23% and option 'b' is the correct choice.