The measure of angle 2 is
Explanation:
Given that and
are complementary angles.
Also, the measure of angle 1 is
We need to determine the measure of
Since, we know that the complementary angles add up to 90°, then the angles and
add up to 90°.
Thus, we have,
Substituting the value of in the above expression, we have,
Subtracting both sides by 76°, we get,
Simplifying, we have,
Thus, the measure of angle 2 is
QUESTION A
The probability of an event is calculated using the formula:
There are 4 nines in a standard deck of cards. Therefore, there are 48 cards that are not nines.
Since there are 52 cards, the probability is calculated to be:
The probability is 12/13.
QUESTION B
Odds in favor of a particular event are given by the number of favorable outcomes to the number of unfavorable outcomes. The formula is written out to be:
Since we have that the number of favorable outcomes is 48 and the number of unfavorable outcomes is 4, we have that the odds in favor are given to be:
The odds are 12 to 1.