Answer:
First number = 22
Second number = 24
Step-by-step explanation:
Let the first number = x
Let the second number = x + 2
According to the question ,
The sum of two even consecutive ingers = 46.
so,
x + x + 2 = 46
2x + 2 = 46
2x = 46 - 2
2x = 44
x = 44 / 2
x = 22
∴ FIRST NUMBER = X
= 22
SECOND NUMBER = X + 2
= 22 + 2
= 24.
By the segment addition postulate,
AC + CE = AE so AC = AE - CE
AC = (x+50) - (x+32)
AC = x+50-x-32
AC = 18
a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the 
is the complement of 
, then by DeMorgan's law,
