Answer :
To solve the question "What are the means of the proportion [tex]\( \frac{17}{51} = \frac{28}{84} \)[/tex]?", it's important to understand what means are in a proportion.
A proportion is a statement in which two ratios are equal. In the proportion [tex]\( \frac{17}{51} = \frac{28}{84} \)[/tex], we have two pairs of numbers called the terms of the proportion.
The terms are generally in the form [tex]\( \frac{a}{b} = \frac{c}{d} \)[/tex]. In this setup:
- [tex]\( a \)[/tex] and [tex]\( d \)[/tex] are called the extremes.
- [tex]\( b \)[/tex] and [tex]\( c \)[/tex] are called the means.
For the given proportion:
- The first ratio is [tex]\( \frac{17}{51} \)[/tex].
- The second ratio is [tex]\( \frac{28}{84} \)[/tex].
So according to our setup:
- The extremes are 17 and 84.
- The means are 51 and 28.
Therefore, the means of the proportion [tex]\( \frac{17}{51} = \frac{28}{84} \)[/tex] are 51 and 28.
So, the correct answer is:
a) 51 and 28.
A proportion is a statement in which two ratios are equal. In the proportion [tex]\( \frac{17}{51} = \frac{28}{84} \)[/tex], we have two pairs of numbers called the terms of the proportion.
The terms are generally in the form [tex]\( \frac{a}{b} = \frac{c}{d} \)[/tex]. In this setup:
- [tex]\( a \)[/tex] and [tex]\( d \)[/tex] are called the extremes.
- [tex]\( b \)[/tex] and [tex]\( c \)[/tex] are called the means.
For the given proportion:
- The first ratio is [tex]\( \frac{17}{51} \)[/tex].
- The second ratio is [tex]\( \frac{28}{84} \)[/tex].
So according to our setup:
- The extremes are 17 and 84.
- The means are 51 and 28.
Therefore, the means of the proportion [tex]\( \frac{17}{51} = \frac{28}{84} \)[/tex] are 51 and 28.
So, the correct answer is:
a) 51 and 28.
