The value of ∠EBD is 66°
<h3>Vertically opposite angles</h3>
Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,
∠EBA≅∠CBF
Therefore,
∠EBA = 40 - x
∠EBA + ∠EBD = 90°(complementary angles)
Therefore,
40 - x + 6x - 30 = 90
5x = 90 + 30 - 40
5x = 80
x = 80 / 5
x = 16
Therefore,
∠EBD = 6(16) - 30 = 66°
learn more on angles here: brainly.com/question/10987237
Answer:
C) Yes, because the joint probability of P and M is equal to 0.
Step-by-step explanation:
Given that, P represents the event that the selected person preferred pepperoni only.
And M represents the event that the selected person preferred mushroom only.
so, P and M are two mutually exclusive events because two events are mutually exclusive if they do not occur together.
Here, P and M cannot occur at same time.
so, the joint probability of P and M i.e) probability of both P and M to occur at same time is zero.
The answer is 1 1/2. To find it you first add 9/12 and 5/12 which equals 14/12 then you make it a mixed fraction which is 1 2/12 which can simplify to 1 1/6. Next you make the denominator of 2/3 and 1/6 equal, so you multiply 2/3 by 2 and you get 4/6 so you now have 2 4/6 and 1 1/6, now you subtract them both which is 1 3/6 which simplified is 1 1/2
