The expression 53(1+x) represents the total cost of a meal including the tip. What do the different parts of the expression repr
2 answers:
⇒The expression which represents the total cost of a meal including the tip
=53×(1+x)
Using Distributive property of Multiplication with respect to Addition
=53+53 x
--------------------------------------(1)
If p% is the amount of tip given ,and if A is the Actual Bill , then it can be written as
= A +A×p%-------------(2)
Equating (1) and (2)
Total Cost of Meal =$53
Amount used for tip=$ 100x
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where
as the solutions to the original equation.
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.