Using the power of zero property, we find that:
a) The simplification of the given expression is 1.
b) Since , equivalent expressions are: and .
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The power of zero property states that any number that is not zero elevated to zero is 1, that is:
Thus, at item a, , thus the simplification is .
At item b, equivalent expressions are found elevating non-zero numbers to 0, thus and .
Answer: AC=12 cm
Step-by-step explanation:
To solve this problem you must apply the law of sines, as you can see below:

Where:
a=13
A=85.2°
B=71.6°
Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

according to the picture we have:
x.y=4.7
(7)x(7)y=49xy=(49)(4.7)=230.3
Answer:Each pair of alternate interior angles is congruent, and each pair of alternate exterior angles is congruent.
Step-by-step explanation:
Complete question:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?
A) segment a double prime b double prime = segment ab over 2
B) segment ab = segment a double prime b double prime over 2
C) segment ab over segment a double prime b double prime = one half
D) segment a double prime b double prime over segment ab = 2
Answer:
A) segment a double prime b double prime = segment ab over 2.
It can be rewritten as:
Step-by-step explanation:
Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.
We know segment A"B" equals segment AB multiplied by the scale factor.
A"B" = AB * s.f.
Since we are given a scale factor of ½
Therefore,
The equation that explains the relationship between segment AB and segment A"B" is
Option A is correct