You add 1/4 each year:
800 to 1000 in one year
1000 to 1250 in 2
1250 to around 1812.5
The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.
<h3>What is a triangle?</h3>
A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.
Triangle is a very common figure to deal with in our daily life.
It is known that the sum of all three angles inside a triangle will be 180°.
So, m∠A + m∠B + m∠C = 180°
m∠C = 180° - 58° - 44°
m∠C = 78°.
The exterior angle of C = 180- 78 = 102°.
Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".
For more about triangles,
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Answer:
The value of the trigonometric-ratio:
Step-by-step explanation:
Given the angle X
It is clear that:
- The opposite of the angle X = 48
- The adjacent to the angle X = 14
We know that the trigonometric-ratio of Tan X is defined as
Tan X = Opposite / Adjacent
substituting Opposite = 48, and Adjacent = 14
Tan X = 48/14
Tan X = 24 / 7
Therefore, the value of the trigonometric-ratio:
We're told that
where the last fact is due to the law of total probability:
so that 
and 
are complementary.
By definition of conditional probability, we have
We make use of the addition rule and complementary probabilities to rewrite this as
![\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)](https://tex.z-dn.net/?f=%5Cimplies%20P%28B%29-%5B1-P%28A%5Ccup%20B%29%5EC%5D%3D%5B1-P%28B%29%5D-P%28A%5Ccup%20B%5EC%29)
![\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]](https://tex.z-dn.net/?f=%5Cimplies2P%28B%29%3D2-%5BP%28A%5Ccup%20B%29%5EC%2BP%28A%5Ccup%20B%5EC%29%5D)
![\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]](https://tex.z-dn.net/?f=%5Cimplies2P%28B%29%3D%5B1-P%28A%5Ccup%20B%29%5EC%5D%2B%5B1-P%28A%5Ccup%20B%5EC%29%5D)
By the law of total probability,
and substituting this into 
gives
![2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]](https://tex.z-dn.net/?f=2P%28B%29%3DP%28A%5Ccup%20B%29%2B%5BP%28B%29-P%28A%5Ccap%20B%29%5D)
Answer:
1,787 for intreast and 1772
explanation:
that is from a reliable web site calculator
