The lines that Mark drew are perpendicular.
1/42
First, find the probability of Willie winning the grand prize. He has 1 ticket out of the 7 total tickets, so the probability is 1/7.
Now, find the probability of Emily winning the second prize. After the grand prize winner has been announced, there are only 6 tickets left. Emily has 1, so the probability is 1/6.
Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.
We are given
△ABC, m∠A=60° m∠C=45°, AB=8
Firstly, we will find all angles and sides
Calculation of angle B:
we know that sum of all angles is 180
m∠A+ m∠B+m∠C=180
we can plug values
60°+ m∠B+45°=180
m∠B=75°
Calculation of BC:
we can use law of sines
now, we can plug values
Calculation of AC:
now, we can plug values
Perimeter:
we can plug values
Area:
we can use formula
now, we can plug values
...............Answer
Answer:
11. -2
12. +0.5
Step-by-step explanation:
11. as x increases by 1, y decreases by 2, -2/1 = -2 the ROC is -2 (rate of change)
12. as x increases by 2, y increases by 1, 1/2 = 0.5, ROC is +0.5
