Write a proportion for each of the following equations and perform all changes: 2·9=3·6

1 : 3

Step-by-step explanation:

We are given an equation 2 × 9 = 3 × 6

So, we have to write a proportion for this equation performing all changes.

Now, we write the equation as follows:

2 × 9 = 3 × 6

⇒

Therefore, this is the proportion for this equation and this is 2 : 6 ≡ 3 : 9 ≡ 1 : 3 (Answer)

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm