Write and solve an equation to find the value of x and the missing angle measures.
1 answer:
Answer:
Step-by-step explanation:
1). Since, both the angles are vertically opposite angles,
Measure of both the angles will be same.
6x = 30
x = 5
2). Since, both the angles are the linear pair of angles,
(4 + 5x)° + (x + 2)° = 180°
6x + 6 = 180
6x = 180 - 6
x =
x = 29
Therefore, (4 + 5x)° = 4 + 5(29)
= 149°
And (x + 2)° = (29 + 2)
= 31°
3). Since, both the angles are linear pair of angles,
5x° + (3x + 12)° = 180°
8x + 12 = 180
8x = 180 - 12
x =
x = 21
Therefore, 5x° = 5(21)
= 105°
(3x + 12)° = 3(21) + 12
= 75°
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Answer:
E. 0.11
Step-by-step explanation:
We have these following probabilities:
A 10% probability that a person has the flu.
A 90% probability that a person does not have the flu, just a cold.
If a person has the flu, a 99% probability of having a runny nose.
If a person just has a cold, a 90% probability of having a runny nose.
This can be formulated as the following problem:
What is the probability of B happening, knowing that A has happened.
It can be calculated by the following formula
Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.
In this problem, we have that:
What is the probability that a person has the flu, given that she has a runny nose?
P(B) is the probability that a person has the flu. So P(B) = 0.1.
P(A/B) is the probability that a person has a runny nose, given that she has the flu. So P(A/B) = 0.99.
P(A) is the probability that a person has a runny nose. It is 0.99 of 0.1 and 0.90 of 0.90. So
What is the probability that this person has the flu?
The correct answer is:
E. 0.11