The correct answer is D. No because the permutations rule would be used to determine the total number of combinations.
Explanation:
The difference between a combination and a permutation is that in permutations the order is considered. This applies to the numbers in a lock because these need to be in order. Therefore, to analyze the permutations in a lock, the rule for permutations should be used. This includes the general formula P (n,r) =
; in this, n is the number of objects and r refers to the objects used in a permutation. Thus, the term "combination" is inappropriate because this is a permutation, and the permutation rule should be used.
In an isosceles triangle, there are two sides that are congruent.
In this case, AB and BC are congruent.
Knowing this, we know that AB = BC
Since we know the values of AB and BC, we can put them into the equation:
3x - 4 = 5x - 10
Subtract 3x from both sides:
-4 = 2x - 10
Add 10 to both sides to isolate 'x':
6 = 2x
Divide both sides by 2:
x = 3
Now that we know the value of the variable, we just have to input it into AB's equation:
3x - 4 = 3(3) - 4
3(3) - 4 = 9 - 4
9 - 4 = 5
<u>AB = 5</u>
Good luck!
Answer:
4 1/3
Step-by-step explanation:
Hope this helps :)
