Answer:
Probability = 2/7
Step-by-step explanation:
AS the Venn diagram is not given in the question, the question is incomplete. I've attached the Venn diagram of this question below for a better understanding of the question and its solution.
In the Venn diagram we can see that
Costumers who like Cake = 10
Costumers who like Pie = 8
Costumers who like both = 4
So it means that
Total costumers who like Cake = 10 + 4 = 14
Total costumers who like Pie = 8 + 4 = 12
We have to find probabilty that a costumer who likes cakes also likes pie
So
Total costumers who like cake = 14
Costumers out of 14 who also like pie = 4
Probability = (No. of costumers who also like pie) / (Total costumers who like cake)
Probability = 4/14 = 2/7
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
C.) supplementary angles, complementary angles
Step-by-step explanation:
Look at the picture below.
A supplementary angle(s) has a total sum of 180°
A complimentary angle(s) has a total sum of 90°
Other angles like congruent, only refer to an angle that is exactly the same.
Therefore, C would be the correct answer.
Answer:
Step-by-step explanation:
We have 36 characters in total which we can use in order to form a 6 character password.
For each place in this password we have choice of 36 of them, so, the total number of possible passwords of 6 characters is:
But, we have to exclude all passwords which have no numbers because, by the task, the password must contain at least one digit.
So, now we have choice of 26 characteristic to form password without digits and get 
passwords like that, contained just of letters without digits.
So, the final answer is that we have 
6-character passwords with at least one digit.
X= 75
y= 105
this is because x is equal to the angle with 75, y us 105 because 180-75=105. 180 is found because the angle of a line is 180
