Well, the triangle could have a few possibilities to get the angles. They are:
30-30-120
30-60-90
30-90-60
30-120-30
60-30-90
60-60-60
60-90-30
90-30-60
90-60-30
Thus, there are 9 possible cases. Out of them 3 are good, so the probability is 1/3, or 33%.
Answer:
We have to use the mathematical induction to prove the statement is true for all positive integers n.
The integer is divisible by 3 for every positive integer n.
is divisible by 3.
Hence, the statement holds true for n=1.
- Let us assume that the statement holds true for n=k.
i.e. is divisible by 3.---------(2)
- Now we will prove that the statement is true for n=k+1.
i.e. is divisible by 3.
We know that:
and
Hence,
As we know that:
was divisible as by using the second statement.
Also:
is divisible by 3.
Hence, the addition:
is divisible by 3.
Hence, the statement holds true for n=k+1.
Hence by the mathematical induction it is proved that:
The integer is divisible by 3 for every positive integer n.
Answer:
x=6 or x=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Use PEMDAS
Parenthesis,Exponent,Multiplication,Division,Addition,Subtraction
Step 1
3(x-4)=12 Equation/Question
Step 2
3(x-4)=12 Remove parenthesis
3x-12=12
Step 3
3x-12=12 Add 12 to sides
3x=24
Step 4
3x=24 Divide sides by 3
answer
x=8
Hope this helps
Answer:
Step-by-step explanation:
14...................................
11 2/3 pages in 15 minutes
- 35/3 ⇔ 15
- 35/3 ÷ 15 ⇔ 15÷15
- 35/45 ⇔ 1
- 7/9 ⇔ 1
7/9 pages per min
Option B
15....................................
5 2/3 meters in 1/3 hours
- 17/3 ⇔ 1/3
- 17 ⇔ 1
- 17 meters per hour
Correct option is B