To determine which numbers are the extremes of the given proportion [tex]\(\frac{4}{7} = \frac{20}{35}\)[/tex], we need to understand the concept of extremes in a proportion.
A proportion is an equation that states that two ratios are equal. For example, in the proportion [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex]:
- [tex]\(a\)[/tex] and [tex]\(d\)[/tex] are called the extremes.
- [tex]\(b\)[/tex] and [tex]\(c\)[/tex] are called the means.
Given the proportion [tex]\(\frac{4}{7} = \frac{20}{35}\)[/tex], we identify the terms as follows:
- 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 are the first and last terms.
Therefore, the extremes of the proportion [tex]\(\frac{4}{7} = \frac{20}{35}\)[/tex] are:
- 4 (the first term)
- 35 (the last term)
The correct answer is:
D. 4 and 35
