The measure of two vertical angles are 8x - 18 and 6x + 14. Find x.a. 16
b. 110
c. 32
4. 70
Answers
The value of x is 16. The correct option is A.
What are vertical angles?
Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.
Given that the measure of two vertical angles is 8x - 18 and 6x + 14. Since the two angles are vertical angles, therefore, will measure the same. Thus, we can write the measure of the two angles as,
8x - 18 = 6x + 14
Bring liketerms on the same side of the equation,
8x - 6x = 18 + 14
Simplify both sides of the equation,
2x = 32
x = 32/2
x = 16
Hence, the value of x is 16.
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What is the greatest common factor of the polynomial below?8x2 - 4xO A. 4xO B. 2xO C. 2x2O D. 4x2
3. What is the algebraic expression for the following word phrase: the quotient of x and 2y?
For which data set is a linear regression most reasonable
Can anyone answer question 15 and 16
Answers
Answer: The price for each ticket is $525.
Step-by-step explanation:
Since we have given that
Number of tickets = 4
Total cost = $105.00
Rate of service charge = 5%
Let the original cost be 'x'.
According to question, we get that
Hence, the price for each ticket is $525.
4x + 0.05(4x) = 105.00
x = $25
Answers
Answer:
Step-by-step explanation:
AB + BC = AC
4x + 10 + 2x + 3 = 9x - 15
6x + 13 = 9x - 15
6x + 13 + 15 = 9x
6x + 28 = 9x
3x = 28
x = 9 1/3 = 28/3
AC = 9 * 28/3 - 15
AC = 3 * 28 - 15
AC = 84 - 15
AC = 69
Answers
Answers
The value of ( g o f ) (0) is -3.
Here,
The function is given as;
and
We have to find the value of ( g o f ) (0).
What is Composite function?
Composite function is an operation that takes two functions f and g and produces a function k such that k (x) = g(f(x)).
Now,
The function are;
and
Simplify ( g o f ) (0) as;
⇒
Hence, The value of ( g o f ) (0) is -3.
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g(f(0)) = 0 - 3 = -3
answer
(g ∘ f)(0) = -3
Answers
Answer:
175/11 or 165 and 10/11
Step-by-step explanation:
7x-5+4x+10=180
11x+5=180
11x=175
x=175/11
B. Events A and B are dependent because P(A|B) = P(A)
C. Events A and B are independent because P(A|B) = P(B)
D. Events A and B are dependent because P(A|B) P(A)
Answers
The statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
What is conditional probability ?
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.
How to identify the correct statement ?
Given that the probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event B). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67.
Thus we can see that both the events A and B are mutually exclusive events . Also A and B are both independent events means they do not have any relation of simultaneously occurring.
P(A/B) means that the probability that A will occur given that B has already occurred.
As both the events are independent, therefore when A will occur, it will have no relationship with event B.
∴ P(A/B) = P(A) .
Thus the statement that is true is Option (A) Events A and B are independent because P(A|B) = P(A).
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Events A and B are independent because P(A|B) = P(A).
Given two events A and B, the conditional probability P(A|B) is the probability that A happends, knowing that B has happened. If the two events are dependent, knowing that B has already happened will change the probability of A. If, instead, knowing that B has happened doesn't change the probability of A, it means that A doesn't depend on B, and thus the events are independent.