Question

The ratios a:b and b:c are equivalent to one another

Select all the statements that must be true

1. a=c

2. $\frac{b}{a} = \frac{c}{b}$

3. b-a=c-b

4. a
5. if a=b, then b=c

I think #2 is correct ,but I don't know about the others

Answer 1

a : b
b : c

Imagine if the ratio is as follows :
3 : 6
6 : 12

Yes, only number 2 is correct.

Your number 4 seems to only consist of a. Hence, I can't make any assumptions based on that.

So yes, only number 2 is correct.

Hope this helps. - M

Answer 2

Options 2 and 5 i.e., $\dfrac{b}{a}=\dfrac{c}{b}$ and $b=c$ are the correct statements such that $\dfrac{a}{b}=\dfrac{b}{c}$.

Ratio

Ratio is the mathematical indication that tells how many times one number contains another.

How to simplify the ratios?

Reciprocate the given proportion both sides-

$\dfrac{b}{a}=\dfrac{c}{b}$

So, option 2 is correct.

Now, if $a=b$ then, the proportion will become-

$1=\dfrac{b}{c}\\b=c$

So, option 5 is correct.

Thus, options 2 and 5 are the correct statements.

Learn more about ratios here- https://brainly.com/question/13419413

#SPJ2