Answer:
The length of segment AC is two times the length of segment A'C'
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
z ----> the scale factor
A'C' ----> the length of segment A'C'
AC ----> the length of segment AC
so
we have that
---> the dilation is a reduction, because the scale factor is less than 1 and greater than zero
substitute

therefore
The length of segment AC is two times the length of segment A'C'
Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with
ways to be done, each thing independent of the other, the number of ways they can be done is:

Considering the number of options for Entree, Side and Drink, the parameters are:
n1 = 3, n2 = 2, n3 = 2.
Hence the sample size of outcomes is:
N = 3 x 2 x 2 = 12.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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Answer:

Step-by-step explanation:
We have an extremely large equation and are asked to divide it, so let's solve it step-by-step :
Remove the parenthesis to make it easier to read :

Multiply the numerators :

Multiply the denominators :

Apply the negative rule :

Cancel the common factor which is 18 :

Apply the addition exponent rule :

Subtract :

Apply the rule for y :

Subtract :

Cancel the common factor of z^3 :

The answer to this question is line 1