Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
![m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}](https://tex.z-dn.net/?f=%5Cimplies%5Chuge%5Cpurple%7B%5Cboxed%7B%20m%5Cangle%201%20%3D%2020%5Cdegree%7D%7D)
Alternate method:
![m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-%2840%5Cdegree%2B70%5Cdegree%2B90%5Cdegree%29%5D)
![\implies m\angle 1 = 180\degree- [360\degree-200\degree]](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-200%5Cdegree%5D)
![\implies m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies m\angle 1 = 20\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%2020%5Cdegree)
a. (f+g)(x) = 8x+2
b. (f-g)(x) = 4x-6
Step-by-step explanation:
Given
![f(x) = 6x-2\\and\\g(x)=2x+4](https://tex.z-dn.net/?f=f%28x%29%20%3D%206x-2%5C%5Cand%5C%5Cg%28x%29%3D2x%2B4)
<u>a. (f+g)(x)</u>
![(f+g)(x)=f(x)+g(x)\\=6x-2+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29%5C%5C%3D6x-2%2B%282x%2B4%29%5C%5C%3D6x-2%2B2x%2B4%5C%5C%3D6x%2B2x-2%2B4%5C%5C%3D8x%2B2)
<u>b. (f-g)(x)</u>
![(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%5C%5C%3D%286x-2%29-%282x%2B4%29%5C%5C%3D6x-2-2x-4%5C%5C%3D6x-2x-2-4%5C%5C%3D4x-6)
Hence,
a. (f+g)(x) = 8x+2
b. (f-g)(x) = 4x-6
Keywords: Functions
Learn more about functions at:
#LearnwithBrainly
Gcf first
21y(y+5)
solutions are 0,-5
Answer: 35
Step-by-step explanation:
Given : At Deb’s Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special.
The number of choices for sandwiches = 5
The number of choices for salad = 4
The number of choices for soup = 3
Now, the number of possible lunch special combinations can be ordered will be :-
![5\times4+5\times3=20+15=35](https://tex.z-dn.net/?f=5%5Ctimes4%2B5%5Ctimes3%3D20%2B15%3D35)
Hence, the number of possible lunch special combinations can be ordered will be 35.