Answer:
consecutive interior angles
Step-by-step explanation:
inside of the angle and consecutive to each other
Answer: ![x=11.47](https://tex.z-dn.net/?f=x%3D11.47)
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:
![cos\alpha=\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=cos%5Calpha%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
Then, knowing that:
![\alpha=55\°\\adjacent=x\\hypotenuse=20](https://tex.z-dn.net/?f=%5Calpha%3D55%5C%C2%B0%5C%5Cadjacent%3Dx%5C%5Chypotenuse%3D20)
You need to substitute these values into
:
![cos(55\°)=\frac{x}{20}](https://tex.z-dn.net/?f=cos%2855%5C%C2%B0%29%3D%5Cfrac%7Bx%7D%7B20%7D)
Now, you can solve for "x":
![20*cos(55\°)=x\\x=11.471](https://tex.z-dn.net/?f=20%2Acos%2855%5C%C2%B0%29%3Dx%5C%5Cx%3D11.471)
Rounded to the nearest hundreth:
![x=11.47](https://tex.z-dn.net/?f=x%3D11.47)
The second option: 4x² - x + 1
All you have to do is add the like terms:
3x² + x² = 4x²
4x - 5x = -x
-2 + 3 = 1
Combine all the results and you will get your solution!
Answer:
T = 4B + 10C
Step-by-step explanation:
Since there are 4 doughnuts in a bag then there are 4B doughnuts in B bags
Since there are 10 doughnuts in a carton then there are 10C doughnuts in C cartons, thus summing the two quantities gives
T = 4B + 10C
Answer:
Number of people employed this year = 373
Step-by-step explanation:
Let the number of employees this year = x
These employees were decreased by 4% then the remaining number of employees this year = x - (4% of x)
= x - 0.04x
= 0.96x
If last year number of people employed were 389 then the number of people employed this year = 0.96×389
= 373.44
When rounded to whole number, number of people employed this year = 373.