Answer:
![\huge\boxed{x^o=67^o,\ y^o=113^o,\ z^o=52^o}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bx%5Eo%3D67%5Eo%2C%5C%20y%5Eo%3D113%5Eo%2C%5C%20z%5Eo%3D52%5Eo%7D)
Step-by-step explanation:
![\text{We know:}\\\text{The angles in each triangles add up to 180}^o.](https://tex.z-dn.net/?f=%5Ctext%7BWe%20know%3A%7D%5C%5C%5Ctext%7BThe%20angles%20in%20each%20triangles%20add%20up%20to%20180%7D%5Eo.)
![\text{In the triangle ABC:}\\\\85+28+15+z=180\\128+z=180\qquad\text{subtract 128 from both sides}\\128-128+z=180-128\\\boxed{z=52}](https://tex.z-dn.net/?f=%5Ctext%7BIn%20the%20triangle%20ABC%3A%7D%5C%5C%5C%5C85%2B28%2B15%2Bz%3D180%5C%5C128%2Bz%3D180%5Cqquad%5Ctext%7Bsubtract%20128%20from%20both%20sides%7D%5C%5C128-128%2Bz%3D180-128%5C%5C%5Cboxed%7Bz%3D52%7D)
![\\\\\text{In the triangle ADC}:\\\\85+28+x=180\\113+x=180\qquad\text{subtract 113 from both sides}\\113-113+x=180-113\\\boxed{x=67}](https://tex.z-dn.net/?f=%5C%5C%5C%5C%5Ctext%7BIn%20the%20triangle%20ADC%7D%3A%5C%5C%5C%5C85%2B28%2Bx%3D180%5C%5C113%2Bx%3D180%5Cqquad%5Ctext%7Bsubtract%20113%20from%20both%20sides%7D%5C%5C113-113%2Bx%3D180-113%5C%5C%5Cboxed%7Bx%3D67%7D)
![\text{In the triangle DBC:}\\\\y+52+15=180\\y+67=180\qquad\text{subtract 67 from both sides}\\y+67-67=180-67\\\boxed{y=113}](https://tex.z-dn.net/?f=%5Ctext%7BIn%20the%20triangle%20DBC%3A%7D%5C%5C%5C%5Cy%2B52%2B15%3D180%5C%5Cy%2B67%3D180%5Cqquad%5Ctext%7Bsubtract%2067%20from%20both%20sides%7D%5C%5Cy%2B67-67%3D180-67%5C%5C%5Cboxed%7By%3D113%7D)
Good evening ,
Answer:
<h2>8 chickens</h2><h2>8 horses</h2>
Step-by-step explanation:
let c = the number of chickens
let h = the number of horses
You have to solve this system
h + c = 16
4h + 2c = 48
h + c = 16 ⇒ h = 16 - c
If we substitute h=16-c in the second equation we will get :
4(16-c)+ 2c = 48
Then 64 - 4c + 2c = 48
Then 2c = 64 - 48 = 16
Then c = 8
Since h = 16 - c then h = 16 - 8 = 8
:)
Answer:
21
Step-by-step explanation:
Answer:
1,4,9,16...
Step-by-step explanation:
It does not have a common difference between each consecutive term, therefore it is not an arithmetic sequence.