Answer:
x=6
B = 20
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
55+ 3x+2 = 13x-3
Combine like terms
57+3x = 13x -3
Subtract 3x from each side
57+3x-3x = 13x-3x-3
57 = 10x-3
Add 3 to each side
57+3 = 10x-3+3
60 = 10x
Divide each side by 10
60/10 = 10x/10
6 =x
We also want angle B
B = 3x+2
3*6+2
18+2
20
Let x = discount rate
Equate:
$80(1-x) = $60
Solve for x:
1-x = 60/80
1-x = 3/4
x = 1 - 3/4
x = 1/4 or 0.25
x = 25%
Answer:
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Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
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From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
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<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:
Answer:
the first one and the third one, negative three's don't count so don't put those in.
Step-by-step explanation:
-6 ÷ -2 = 3
4 - (-1) = 5
(-1)(-3)= 3
(-2) - 1 = -3
15 ÷ -5 = -3
4÷ 1 = 4