Answer:
both angles are 92 degrees
Step-by-step explanation:
88+c=180
c=92
c and b are vertical angles and all vertical angles are equal
Answer:
the correct option is D.)
![x = \frac{3}{2} \: and \: y = \frac{1}{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%3A%20and%20%5C%3A%20y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Step-by-step explanation:
here is the solution :-
=》y = -x + 2
=》y = 3x - 4
so, by equating both equations we get,
=》-x + 2 = 3x - 4
=》2 + 4 = 3x + x
=》6 = 4x
=》x = 6 / 4
![x = \frac{3}{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
plugging the value of x in equation 2,
=》
![y = - \frac{ 3}{2} + 2](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B%203%7D%7B2%7D%20%20%2B%202)
=》
![y = \frac{ - 3 + 4}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%203%20%2B%204%7D%7B2%7D%20)
=》
![y = \frac{1}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20)
Sec^2x-tan x-3 = RED IS SUS
Answer:
![\text{Segment midpoint formula}](https://tex.z-dn.net/?f=%5Ctext%7BSegment%20midpoint%20formula%7D)
Step-by-step explanation:
![(\frac{x1 + x2}{2},\frac{y1+y2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx1%20%2B%20x2%7D%7B2%7D%2C%5Cfrac%7By1%2By2%7D%7B2%7D%29)
For example:
![\text{Points: } (4,9) (8,4)](https://tex.z-dn.net/?f=%5Ctext%7BPoints%3A%20%7D%20%284%2C9%29%20%288%2C4%29)
As long as you appropriately place the X and Y points, it doesn’t matter which
etc you use.
![(\frac{4+8}{2},\frac{9+4}{2}) = 6, 6.5](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%2B8%7D%7B2%7D%2C%5Cfrac%7B9%2B4%7D%7B2%7D%29%20%3D%206%2C%206.5)
![\text{X midpoint: 6}\\\text{Y midpoint: 6.5}](https://tex.z-dn.net/?f=%5Ctext%7BX%20midpoint%3A%206%7D%5C%5C%5Ctext%7BY%20midpoint%3A%206.5%7D)
Answer:
Therefore,
![(m^{2}+2mn+ n^{2}+5)+(2m^{2}-3n^{2}-2)+(-3mn+2n^{2} +m-3)=3m^{2}-mn+m](https://tex.z-dn.net/?f=%28m%5E%7B2%7D%2B2mn%2B%20n%5E%7B2%7D%2B5%29%2B%282m%5E%7B2%7D-3n%5E%7B2%7D-2%29%2B%28-3mn%2B2n%5E%7B2%7D%20%2Bm-3%29%3D3m%5E%7B2%7D-mn%2Bm)
Step-by-step explanation:
Given:
![(m^{2}+2mn+ n^{2}+5)+(2m^{2}-3n^{2}-2)+(-3mn+2n^{2} +m-3)](https://tex.z-dn.net/?f=%28m%5E%7B2%7D%2B2mn%2B%20n%5E%7B2%7D%2B5%29%2B%282m%5E%7B2%7D-3n%5E%7B2%7D-2%29%2B%28-3mn%2B2n%5E%7B2%7D%20%2Bm-3%29)
Addition in Column form is as follow
m² + 2mn + n² + 0m + 5
+ 2m² + 0mn - 3n² + 0m - 2
+ 0m² - 3mn + 2n² + m - 3
<u> </u>
3m² - mn + 0n² + m+ 0
<u> </u>
Therefore,
![(m^{2}+2mn+ n^{2}+5)+(2m^{2}-3n^{2}-2)+(-3mn+2n^{2} +m-3)=3m^{2}-mn+m](https://tex.z-dn.net/?f=%28m%5E%7B2%7D%2B2mn%2B%20n%5E%7B2%7D%2B5%29%2B%282m%5E%7B2%7D-3n%5E%7B2%7D-2%29%2B%28-3mn%2B2n%5E%7B2%7D%20%2Bm-3%29%3D3m%5E%7B2%7D-mn%2Bm)