The rational numbers are the positive counting numbers: 1, 2, 3, 4, . . .
The whole number are the natural numbers plus 0: 0, 1, 2, 3, . . .
The irrational numbers are the numbers which cannot be expressed in the form a/b where a and b are integers. They are usually in the form of a non recurring and non terminating decimals.
The integers complices of both the negative and the positive whole numbers.
In winter, the temperature of Alaska usually drop to negative numbers.
Therefore, the <span>set of numbers is the most reasonable to describe the temperature in alaska during the winter is the set of integers.</span>
Answer:∠1=55° ∠2=55° ∠3=55° ∠4=70° ∠5=55°
Step-by-step explanation:
We know that opposite angles of rhombus are congruent and the diagonals of rhombus cut the vertex angles into half. So ∠4=70° and ∠2=∠3=∠1=∠5.
Let ∠2+∠3=x
the sum of four angles of rhombus= 360°
70+70+ x +x = 360°
140+2x = 360°
2x=220°
x=110°
∠2=110°/2=55°=∠3=∠1=∠5
Answer:


Step-by-step explanation:
In the line segment..

Combine like terms.
Add -2 to both sides.
Subtract 9x from both sides.

<h3>__________________</h3>
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Given:
The expression is

To find:
The value of given expression.
Solution:
We have,

![[\because \cos^{-1}(-\theta)=\pi -\cos^{-1}\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%5E%7B-1%7D%28-%5Ctheta%29%3D%5Cpi%20-%5Ccos%5E%7B-1%7D%5Ctheta%5D)
![[\because \cos \dfrac{\pi}{3}=\dfrac{1}{2}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5D)

![[\because \tan(\pi-\theta)=-\tan \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctan%28%5Cpi-%5Ctheta%29%3D-%5Ctan%20%5Ctheta%5D)
![[\because \tan \dfrac{\pi}{3}=\sqrt{3}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctan%20%5Cdfrac%7B%5Cpi%7D%7B3%7D%3D%5Csqrt%7B3%7D%5D)
Therefore, the value of given expression is
.