Answer:
x = 71
Step-by-step explanation:
Given the triangle in red, we can find the unknown angle since the sum of the angles of a triangle are 180. Call the unknown angle GHI
B+ D+ GHI = 180
31+ 40 + GHI = 180
71 + GHI = 180
GHI = 180 -71
GHI = 109
We know that GHI + x = 180 since it forms a straight line
GHI + x =180
109 + x = 180
x = 180-109
x = 71
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It is the slope of the line
b: It is the cut point with the y axis
We have according to the data:
![m = -2](https://tex.z-dn.net/?f=m%20%3D%20-2)
Thus, the equation is of the form:
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
We substitute the given point:
![(x, y) :( 1, -6)\\-6 = -2 (1) + b\\-6 = -2 + b\\-6 + 2 = b\\b = -4](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%3A%28%201%2C%20-6%29%5C%5C-6%20%3D%20-2%20%281%29%20%2B%20b%5C%5C-6%20%3D%20-2%20%2B%20b%5C%5C-6%20%2B%202%20%3D%20b%5C%5Cb%20%3D%20-4)
Finally, the equation is:
![y = -2x-4](https://tex.z-dn.net/?f=y%20%3D%20-2x-4)
Answer:
![y = -2x-4](https://tex.z-dn.net/?f=y%20%3D%20-2x-4)
Answer:
Side FG, Side DF, Side DG
Step-by-step explanation:
The angles of a triangle add up to 180° and since we know 2 of the angles add up to 110° the missing ∠G can be found by subtracting
180°-110°=70°
The opposite side of the largest angle is the largest side. The opposite is also true.
Since the angle from greatest to least is ∠D, ∠G, ∠F then the sides from greatest to least is Side FG, Side DF, Side DG
Answer:
Step-by-step explanation:
b^3+b