To determine the extreme values in the given proportion [tex]\(\frac{4}{7} = \frac{20}{35}\)[/tex], let's start by understanding what extremes in a proportion are. In any proportion [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], the extremes are the first and the last terms, which are [tex]\(a\)[/tex] and [tex]\(d\)[/tex] respectively.
Given proportion:
[tex]\[
\frac{4}{7} = \frac{20}{35}
\][/tex]
Examining this proportion, we identify the terms as follows:
- The first term (extreme on the left) is 4.
- The second term is 7.
- The third term is 20.
- The fourth term (extreme on the right) is 35.
Therefore, the extremes in this proportion are the first and the fourth terms, which are 4 and 35.
Looking at the provided options:
- A. 4 and 35
- B. 4 and 20
- C. 7 and 20
- D. 7 and 35
The correct choice is:
A. 4 and 35
