K and m are corresponding angles
AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9

Therefore AB is 9 cms.
Answer:
0.2305 = 23.05% probability that exactly 2 workers say yes.
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they say yes, or they say no. The probability of a worker saying yes is independent of any other worker, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
5% of workers in the US use public transportation to get to work.
This means that 
You randomly select 25 workers
This means that 
Find the probability that exactly 2 workers say yes.
This is P(X = 2). So


0.2305 = 23.05% probability that exactly 2 workers say yes.
I think this is one of the reducing fractions problem:
If we look at option A.{1/4} {1/5} {1/6} {1/7} {1/8}.
Here, the reduced form of all the fractions is not equal to 1/4
If we look at option B. <span>1/4,2/4,3/4,4/4,5/4.
</span>Here, the reduced form of all the fractions is not equal to 1/4<span>
if we look at option C. </span><span>1/4,2/8,3/12,4/16,5/20.
</span>Here, the reduced form of all the fractions is not equal to 1/4<span>
If we look at option D.</span>1/4,2/8,4/16,6/24,8/32.
Here, the reduced form of all the fractions is equal to 1/4
i.e.
1/4 = 1/4
2/8 = 1/4
4/14 = 1/4
6/24 = 1/4
5/20 = 1/4
So, the correct answer is D.