Can someone please help me asap!!??
2 answers:
Answer:
(second option in your list)
Step-by-step explanation:
Notice that every base with negative exponent can be written with positive exponent on the opposite side of the fraction line, therefore:
The a to the exponent "-4" in the denominator can be written as a to the exponent 4 in the numerator, thus giving two bases a in the numerator, one with exponent 3 and another one with exponent 4 which combined with the rule of product of numbers with same base, leads to the addition ofthe exponents: a to the power 7 in the numerator.
We do something similar with the base b (which in the numerator appears with a "-1" in the exponent), we write it in the denominator with exponent "+1".
Therefore we end up with the following:
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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.