Determine if there is a proportional relationship between the length of the diagonals and the perimeters of the squares.
2 answers:
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ANSWER
EXPLANATION
The given function is
According to the remainder theorem,
where R is the remainder when
is divided by
We therefore substitute the value of x and evaluate to obtain,
This will evaluate to,
Hence the value of the function when
is
According to the remainder theorem,
is the remainder when
is divided by
EXPLANATION
The given function is
According to the remainder theorem,
where R is the remainder when
is divided by
We therefore substitute the value of x and evaluate to obtain,
This will evaluate to,
Hence the value of the function when
is
According to the remainder theorem,
is the remainder when
is divided by
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.