Answer:
Multiplication is commutative.
Step-by-step explanation:
Let n,m be two natural numbers.
We have to show that 
We will prove this by induction
For n = 1, we have 
, which is true.
Let the given statement be true for n-1 natural numbers, that is,
Now, we have to show that it is true for n natural numbers.
which is equal to
Hence, by principal of mathematical induction, the given statement is true for all natural numbers.
The answer is ∠BED by vertical angles theorem.
Variable B : 8, 3, 2, 6, 2, 1, 3, 5
To get the range of a set, we need to arrange the numbers from least to greatest
1, 2, 2, 3, 3, 5, 6, 8
We get the difference of the greatest number and the lowest number.
8 - 1 = 7
The range of the set is 7.
3² = x + 5. The equivalent equation to log₃(x+5) = 2 is 3² = x + 5.
In order to solve this problem we have to know about Logarithm.
Logarithm is defined as the exponent of a power with a certain base, that is, the number to which a given base must be raised to obtain a given result.
logₐ b = x ----------> aˣ = b
Solving for log₃(x+5) = 2 where a = 3, x = 2, and b = x + 5
3² = x + 5
Answer:
16/9.
Step-by-step explanation:
I am assuming you mean tan^2 theta.
The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.
The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.
The tangent is negative in Q 4
So tan theta = -4/3.
tan^2 theta = 16/9.
