Question

Apply the corollary or the theorem found in the previous step. Select the correct choice below and fill in the answer box to complete your choice.
A.StartFraction CD Over nothing EndFraction equals StartFraction nothing Over CD EndFraction
StartFraction CD Over nothing EndFraction
  
equalsStartFraction nothing Over CD EndFraction
  
B.
StartFraction nothing Over nothing EndFraction
  
  
equalsStartFraction nothing Over q EndFraction
  
​, StartFraction nothing Over nothing EndFraction
  
  
equalsStartFraction nothing Over r EndFraction

Answer 1

It seems like you're referring to a mathematical situation involving ratios or fractions that include undefined values (represented by "nothing"). To provide a reasonable response to your question, let's analyze both choices you've provided:

A.

\[
\frac{CD}{0} = \frac{0}{CD}
\]

This expression indicates dividing by zero. In mathematics, division by zero is undefined, thus the expression is not valid.

B.

\[
\frac{0}{0} = \frac{0}{q}
\]
and
\[
\frac{0}{0} = \frac{0}{r}
\]

Both expressions involve \(\frac{0}{0}\), which is also undefined. The term \(\frac{0}{q}\) and \(\frac{0}{r}\) would still be valid for any non-zero \(q\) or \(r\) as those fractions would equal zero. However, \(\frac{0}{0}\) itself is not defined.

Given the nature of undefined values in mathematics from both options provided, it seems like neither choice is mathematically sound due to the involvement of division by zero or undefined forms.

If you can clarify or provide more context about the corollary or theorem you're referencing, I might be able to assist you further.