Using the triangle inequality theorem, we can figure this out.
2- Yes
3- No
4- No
5- Yes
6- Yes
B and C; as the y intercept increases/decreases, the graph of the line shifts up/down.
The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.
Answer:
![\displaystyle m\angle ABC = 34^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20ABC%20%3D%2034%5E%5Ccirc)
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
![\displaystyle m\angle ABD = m\angle ABC + m\angle CBD](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20ABD%20%3D%20m%5Cangle%20ABC%20%2B%20m%5Cangle%20CBD)
Substitute in known values:
![\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cleft%2864%5E%5Ccirc%5Cright%29%20%3D%20m%5Cangle%20ABC%20%2B%20%5Cleft%2830%5E%5Ccirc%5Cright%29)
And subtract. Hence:
![\displaystyle m\angle ABC = 34^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%5Cangle%20ABC%20%3D%2034%5E%5Ccirc)
In conclusion, ∠ABC measures 34°.
You would put -21 on bottom right on the x axis and -x on the top left on the y axis