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.
Answer:
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
Based on the information given in the exercise, you can draw the fish tank attached, where the dimensions are: 18 inches high (), 14 inches deep (
), and 30 inches long (
).
The area that was convered will be the sum of the areas of all the faces, but the top of the tank.
Therefore, the area that was convered is the following:
Answer:
<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>
Step-by-step explanation:
<u>Simple Interest</u>
In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.
We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:
Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:
The interest is then calculated:
Mrs. Adams will earn $3,120 of interest at the end of year 8.
Answer:
and
Step-by-step explanation:
Given that, .
Now, we have to calculate the values of and
.
We know the identity that,
So, {Since
}
Now,
Then, we know the identity,
So, (Answer) {Since
}