Look at the figure. Complete the statement and justify your answer.VT=
2 answers:
Answer:
(C)
Step-by-step explanation:
From the given statement, ≅
by the converse of the isosceles theorem as it states that if two angles are congruent in the triangle, then the two sides opposite to those equal angles will also be congruent that is
≅
.
Hence, Option C is correct.
Rest of the options are not correct as the reflexive property states that any geometric figure, any angle or any line segment has same size and shape. NEither is equal to
nor
by reflexive property as the condition is not fulfiiled.
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Answer:
Step-by-step explanation:
So, there are two logarithmic identities you're going to need to know.
<em>Logarithm of a power</em>:
So to provide a quick proof and intuition as to why this works, let's consider the following logarithm:
Now if we raise both sides to the power of c, we get the following equation:
Using the exponential identity:
We get the equation:
If we convert this back into logarithmic form we get:
Since x was the basic logarithm we started with, we substitute it back in, to get the equation:
Now the second logarithmic property you need to know is
<em>The Logarithm of a Product</em>:
Now for a quick proof, let's just say:
Now rewriting them both in exponential form, we get the equations:
We can multiply a * c, and since b^x = a, and b^y = c, we can substitute that in for a * c, to get the following equation:
Using the exponential identity: , we can rewrite the equation as:
taking the logarithm of both sides, we get:
Since x and y are just the logarithms we started with, we can substitute them back in to get:
Now let's use these identities to rewrite the equation you gave
As you can see, this is a log of products, so we can separate it into two logarithms (with the same base)
Now using the logarithm of a power to rewrite the log(x^2) we get: