An exterior angle is formed by one side of the triangle, and a side EXTENDED outside the triangle. Two angles are like that, ∠4 and ∠2.
Angle 3 is NOT an exterior angle because it is made up of two extended sides. It does not use one of the sides of the triangle.
(y+5) =(5/4)(x-8)
4(y+5)=5(x-8)
4y+20=5x-40
5x-4y=60
Hope that helps you
Answer:
C
Step-by-step explanation:
tanA = 
= 
= 
= 
→ C
No, 3/7 and 7/3 are not the same in the fraction line. It's because 3/7 is less than 1, while 7/3 is as much as 2 1/3.
I hope it will help you mate :)
Answer:
7
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(x;μ) = (e^(-μ)) × (μ^(x))/x!
We are told that the grocer sells three of a certain article per week. Thus;
μ = 3
Now, we want to find out How many of these should he have in stock so that the chance of his running out within a week is less than 0.01.
This means;
P(X > k) < 0.01
This can be rewritten as;
P(X ≤ k) < 0.99
Let's try x = 8
P(8;3) = (e^(-3)) × (3^(8))/8!
P(8;3) = 0.008
But; P(X ≤ 8) = 1 - 0.008 = 0.992
This is more than 0.99 and thus is not the answer
Let's try x = 7
P(7;3) = (e^(-3)) × (3^(7))/7!
P(7;3) = 0.022
But; P(X ≤ 7) = 1 - 0.022 = 0.978
Thus is less than 0.99.
Thus, stock should be 7
