66 is the answer
76+ 38= 114
114+ 66 = 180
So I decided to make a visual aid for this problem.
All of the work is outlined in the image.
Your final answer is 109.
Hope that helps!
Step-by-step explanation:
a)
a whole circle represents always 360 degrees.
we see the angle J is 72 degrees. the angle K is 90 degrees.
that leaves us for M and L together :
360 - 72 - 90 = 198 degrees.
we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M
on other words : L = 2M
and when we now say
198 = L + M
this means
198 = 2M + M = 3M
M = 66 degrees
and L is then 2M = 2×66 = 132 degrees
b)
again, the whole circle is 360 degrees.
J covers 72 of these 360 degrees.
that is 72/360 of all voting people.
72/360 = 1/5
the total of all voting people was 15840.
so, 1/5 of 15840 is
15840/5 = 3168
that means 3168 people voted for J.
Unfortunately, your answer is incorrect, but I totally understand your thinking. However, 1/4 is the probability for each individual that they'll be placed in a general civil case. Since there are two of them, and the question is asking the probability that only one will be in a general civil case, you have to approach the problem slightly differently.
There is a 1/16 chance that both will be put in the case (1/4 * 1/4), a 9/16 chance that neither will be put in the case (3/4 * 3/4), and therefore leaving a 6/16 chance that only one of them will be placed in the civil case. (1 - (1/16 + 9/16). This is equivalent to the decimal 0.375.
Draw out a chart of all the 16 possibilities, and circle the ones where the criteria meet. You'll find that there are 6 instances where one of them is put in a general civil case alone.