Answer:
x= 7
Step-by-step explanation:
add (12x+1) and (5x-3) which becomes 17x-2 and then set that equal to 117 and solve. move the 2 to the right side of the equation which becomes 17x=119 and then divide 119 by 17 which x equals 7.
plug in 7 for x to make sure you get 117
Answer:
you'd land on A 3 times, on B 4 times, C 5 times
Step-by-step explanation:
you simply have to divide 12 by each of the values
so basically:
A= 12 : 4
B= 12 : 3
C= Well it's 5 out of 12 so the answers already there
Answer:
It will take 5 stages to reach the surface.
Step-by-step explanation:
-225/50=4.5 or what times 4.5 equals -225
Hope this helps.
Answer: 14,515,200
Note: this is a single number (not an ordered triple or a collection of three different numbers) roughly equal to about 14.5 million if you round to the nearest hundred thousand.
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Explanation:
There are 13 people. Let's call them person A, person B, person C, ... all the way up to person M. The first four people are given who we'll call A through D. The rest (E through M) aren't really important since they aren't named.
A = Monsier Thenardier
B = Madame Thenardier
C = Cosette
D = Marius
Peron's E through M = remaining 9 people
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A and B must stick together. Because of this, we can consider "AB" as one "person".
So we go from 13 people to 13-2+1 = 12 "people".
Likewise, C and D must stick together. We can consider "CD" as one "person". So we go from 12 "people" to 12-2+1 = 11 "people"
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The question is now: how many ways can we arrange these 11 "people" around a circular table? The answer is (n-1)! ways where n = 11 in this case
So, (n-1)! = (11-1)! = 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800
We're almost at the answer. We need to do two adjustments.
First off, for any single permutation, there are two ways to arrange "AB". The first is "AB" itself and the second is the reverse of that "BA". So we will multiply 3,628,800 by 2 to get 2*3,628,800 = 7,257,600
Using similar logic for "CD", we double 7,257,600 to get 2*7,257,600 = 14,515,200
The final answer is 14,515,200
Answer: These two triangles can be proved similar by the AA Similarity Theorem. This states that you need angles in a pair of triangles to be congruent to prove they are similar.
In line 2, the angles are proved congruent because they are alternate interior angles.
In line 3, the angles are proved congruent because they are vertical angles.
In line 4, you state the reason they are similar. (AA)
