Answer:
x = 5.6
Step-by-step explanation:
So, lets first go over something:
What does it mean for two shapes to be similar?
It means that all their angles are the same, but their side lengths are different, or in other words, one triangle has a different ratio of side lengths to the other.
So how can we find this ratio difference?
We can take the lengths of the same sime on the two different traingles.
You could go with 4 : 3.2 or 2 : 1.6
When you simplfy this, you get 1 : 0.8
We can then find the value of x by multiplying the two ratios by 7, which is the side length of the similar triangle's unknown side:
7 : 5.6
This means that x = 5.6
Hope this makes sense!
You just have to do some math and then figure it out. Done
This is true. In order to get an obtuse triangle, one angle must be greater than 90 degrees because the definition of an obtuse triangle is an angle measuring greater than the right angle. The other angles must be less than 90 degrees because the sum of the angles must be 180 degrees.
The first card has to be 25 or less, which is 50% and the next card has to be a single card, which is 1/49. This will give you the answer of 1/98
Answer:
B-91%
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: arriving home after 7 p.m.
Event B: getting home by bus.
When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.
This means that 
Because the bus is cheaper, he uses the bus 70 percent of the time.
This means that 
Probability of getting home after 7 p.m.
70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.
100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.
So
What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?
Rouding up, 91%.
So the correct answer is:
B-91%
