If m_2= x, m/3=40, and m24=5x + 14, what is mZ1? A. 80 B. 121 C. 21 D. 61
1 answer:
Answer:
<h2>D. 61</h2><h2 />Step-by-step explanation:
find x from the given triangle.
first step is to get x
add all inside angles = 180
∠2 + ∠3 + ∠4 = 180
x + 40 + 5x + 14 = 180
x + 5x = 180 - 40 - 14
6x = 126
x = 126 / 6
x = 21
substitute x=21 into angle 4
∠4 = 5x + 14
∠4 = 5(21) + 14
∠4 = 119
lastly, add ∠1 + ∠4 = 180
∠1 + 119 = 180
∠1 = 180 - 119
∠1 = 61°
therefore, the answer is D. 61
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Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:
Testing this property:
The relationship holds true, thus events E and F are independent.