Step-by-step explanation:
since we have at F a 90 degree angle, b is simply the difference between 90 and 33 degrees
b = 90 - 33 = 57 degrees.
and since all angles in a triangle must sum up to 180 degrees, this applies also to HFG. and we know 2 angles : H = 54 degrees, b = 57 degrees
a = 180 - 54 - 57 = 69 degrees
e is simply the counterpart of the 90 degree angle at F, as these 2 angles must sum up to 180 degrees again.
so, e = 180 - 90 = 90 degrees.
c is the complementary angle to 54, as for a pair of angles at a line intersection, these 2 angles must again sin up to 180 degrees
c = 180 - 54 = 126 degrees
and d is the third angle of EFG, where we know 2 angles, and again, the sum of all angles must be 180.
d = 180 - 90 - 69 = 21 degrees
The answer is 36, I just did it in my calculator
The probability is given by the following formula:
Probability = number of favorable outcomes / total number of outcomes
The total number of outcomes is 10, 3 of the initial number of marbles are red and 2 of them are orange.
The probability of getting a red marble in the first draw is:
Probability = 3/10
The probability of getting an orange marble in the second draw is:
Probability = 2/10 = 1/5
the probability that he will choose a red and then an orange marble can be calculated by multiplying the probabilities that we found, then we get:
Probability = 3/10 × 1/5 = 3/150 = 1/50
Then, the answer is 1/50
Answer:a
Step-by-step explanation:
A shape with eight angles and sides is called an octagon.