Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
To determine the extremes of the given proportion [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex], let's go through the following steps:
1. Understanding Proportions: A proportion is an equation stating that two ratios are equivalent. In the proportion [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], the first and last terms [tex]\(a\)[/tex] and [tex]\(d\)[/tex] are called the extremes, while the second and third terms [tex]\(b\)[/tex] and [tex]\(c\)[/tex] are called the means.
2. Identifying Terms in the Proportion: The given proportion is [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex]. Breaking this down:
- The numerator of the first ratio is 3.
- The denominator of the first ratio is 4.
- The numerator of the second ratio is 6.
- The denominator of the second ratio is 8.
3. Determining the Extremes: According to the definition of extremes in a proportion, the extremes are the first term of the first ratio and the last term of the second ratio.
- The first term of the first ratio ([tex]\(\frac{3}{4}\)[/tex]) is 3.
- The last term of the second ratio ([tex]\(\frac{6}{8}\)[/tex]) is 8.
Hence, the extremes of the given proportion [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex] are:
[tex]\[ \boxed{3 \text{ and } 8} \][/tex]
So the correct answer is:
A. 3 and 8
1. Understanding Proportions: A proportion is an equation stating that two ratios are equivalent. In the proportion [tex]\(\frac{a}{b} = \frac{c}{d}\)[/tex], the first and last terms [tex]\(a\)[/tex] and [tex]\(d\)[/tex] are called the extremes, while the second and third terms [tex]\(b\)[/tex] and [tex]\(c\)[/tex] are called the means.
2. Identifying Terms in the Proportion: The given proportion is [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex]. Breaking this down:
- The numerator of the first ratio is 3.
- The denominator of the first ratio is 4.
- The numerator of the second ratio is 6.
- The denominator of the second ratio is 8.
3. Determining the Extremes: According to the definition of extremes in a proportion, the extremes are the first term of the first ratio and the last term of the second ratio.
- The first term of the first ratio ([tex]\(\frac{3}{4}\)[/tex]) is 3.
- The last term of the second ratio ([tex]\(\frac{6}{8}\)[/tex]) is 8.
Hence, the extremes of the given proportion [tex]\(\frac{3}{4} = \frac{6}{8}\)[/tex] are:
[tex]\[ \boxed{3 \text{ and } 8} \][/tex]
So the correct answer is:
A. 3 and 8
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.