Answer:
Approximately 54°
Step-by-step explanation:
So we know Angle A, the side opposite to Angle A, and the side opposite to Angle B (the angle we want to find). Given these circumstances, we can use the Law of Sines.
The Law of Sines states that:
The variables do not really matter. Instead, it's more important that the angle corresponding to the side lines up with each other.
Anyways, since we know Side A, Angle A, and Side B, let's use the first and second ratios:
Plug in 80° for A, 11 for a, and 9 for b:
Cross multiply to solve for B:
Divide both sides by 11:
Use the inverse sine function. And finally, use a calculator to solve:
Answer:
Option 3
Step-by-step explanation:
AX and XB are congruent because we know that CD is a perpendicular bisector of AB.
The word "bisector" indicates that AB is cut into two equal parts, which allows us to make that claim.
<AXC≅<BXC because they are both equal to 90 degrees. This is because perpendicular means that the two lines are meeting at a 90-degree angle. Since both of them are 90 degrees, they are congruent.
Lastly, we know that XC ≅ XC since they are the same side.
With that in mind, we are able to prove that triangle AXC and BXC are congruent by SAS or side angle side. (The angle is between the two sides)
The correct choice would be option 3.
Answer:
(A) 0.297
(B) 0.595
Step-by-step explanation:
Let,
H = a person who suffered from a heart attack
G = a person has the periodontal disease.
Given:
P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15
Compute the probability that a person has the periodontal disease as follows:
(A)
The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:
Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.
(B)
Now if the probability of a person having a heart attack is, P (H) = 0.38.
Compute the probability that a person has the periodontal disease as follows:
Compute the probability of a person having a heart attack given that he or she has the disease:
The probability of a person having a heart attack given that he or she has the disease is 0.595.
First, let's convert the givens to decimals to make calculations easier:
2 (3/4) = 2.75
9(5/8) = 9.625
We are given that:
Josie can hike 2.75 miles in one hour.
To know the time that Josie would take to hike 9.625 miles, we will simply do cross multiplication as follows:
2.75 miles ..........> 1 hour
9.625 miles .............> ?? hours
Time = (9.625*1) / (2.75) = 3.5 hours
