Let

. Then

. By convention, every non-zero integer

divides 0, so

.
Suppose this relation holds for

, i.e.

. We then hope to show it must also hold for

.
You have

We assumed that

, and it's clear that

because

is a multiple of 3. This means the remainder upon divides

must be 0, and therefore the relation holds for

. This proves the statement.
Answer:
x = 12
Step-by-step explanation:
To solve this and show your work, you have to start of with the equation (3x - 6) = 30.
You then have to add 6 to both sides like this:

So then the 6 is cancelled out, and you are left with
3x = 36.
Now you just have to divide both sides by 3 like this:

Which cancels 3 out, and you are left with
x = 12.
Its C, sorry for the kinda late answer
Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.
<h3>How to Use the Cosines Rule to Solve a Triangle?</h3>
The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))
Given the following:
- c = x = ?
- a = 4.0 cm
- b = 4.7 cm
- C = 41°
Plug in the values:
x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))
x ≈ 3.1 cm
Learn more about the cosine rule on:
brainly.com/question/23720007
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The awnser is A because you just divid it