Answer:
D cause it equals -45
Step-by-step explanation:
corresponding angles, therefore
m∠1 = m∠2 → m∠2 = 130°
vertical angles, therefore
m∠2 = m∠3 → m∠3 = 130°
If ∠1 and ∠2 are complementary, then m∠1 + m∠2 = 90°.
If ∠2 and ∠3 are complementary, then m∠2 + m∠3 = 90°
Therfore

Answer:
mx+b
m=slope
b=y-intercept
Step-by-step explanation:
The steps to determine whether the pillars have the same volume are;
First, we must know that the volume of an object of uniform surface area is the product of its Area and height.
The uniform area of each pillar is then evaluated and if equal;
Both pillars can be concluded to have the same volume.
We must first recall that for various shapes, the volume of the shape is a function of its height.
For example: a A cylinderical pillar and a rectangular prism pillar;
Volume of a cylinder = πr²h
Volume of a Cuboid = l × w × h
Since h = h.
Therefore, for both pillars to have the same volume; their Areas must be equal.
πr² = l × w
Learn more about Area and volume here
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Answer: 0.0516
Step-by-step explanation:
Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of
.
The probability mass function for Poisson distribution:-
For x= 15 and
, we have

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516