The solution of the equation is x = 2
Step-by-step explanation:
The original equation is

We solve it using the following steps:
1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.
In this case, we add +10 on both sides, and we get:

2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.
In this case, we divide both sides of the equation by 5, and we get:

Therefore, the solution of the equation is
.
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By induction:
It's true for

, since

clearly contains a factor of 3.
Suppose it's true for

, that

is divisible by 3. Then

where

is an integer. This reduces to

and both terms are clearly multiples of 3. We know that

is an integer since we had set

previously, which implies

is a multiple of

. So the statement is true.
Answer:
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
Step-by-step explanation:
From the question, the executive board has 4 persons.
P = president
V1 = vice president 1
V2 = vice president 2
V3 = vice president 3
The president must be part of three members formed from these 4 to vote yes for a motion to pass
The weighted system can be represented as
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
These are the 3 possibilities.
Step-by-step explanation:
x+30°=180°{ straight angle}
x=180-30
x=150°
<h3>stay safe healthy and happy.</h3>