To identify the extremes of the given proportion [tex]\(\frac{4}{7}=\frac{20}{35}\)[/tex], we first need to understand what the extremes of a proportion are. In any proportion of the form [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], the extremes are the first and the last terms of the proportion, which are [tex]\(a\)[/tex] and [tex]\(d\)[/tex].
Let’s break down the proportion [tex]\(\frac{4}{7}=\frac{20}{35}\)[/tex]:
- The first term ([tex]\(a\)[/tex]) is 4.
- The second term ([tex]\(b\)[/tex]) is 7.
- The third term ([tex]\(c\)[/tex]) is 20.
- The fourth term ([tex]\(d\)[/tex]) is 35.
The extremes, therefore, are the first term and the last term. Thus, the extremes in the given proportion are:
- The first term, which is 4.
- The last term, which is 35.
Hence, the numbers that are the extremes of the given proportion [tex]\(\frac{4}{7}=\frac{20}{35}\)[/tex] are 4 and 35.
The correct answer is:
C. 4 and 35
