Answer:
(2, 14), (3, 7)
Step-by-step explanation:
The way these angles are numbered, corresponding angle numbers differ by 4, 8, or 12.
Corresponding angles are ...
Angle 2 and Angle 14 . . . . . . numbers differ by 12
Angle 3 and Angle 7 . . . . . . . numbers differ by 4
_____
If a given angle is Northwest of the intersection, any corresponding angle will also be Northwest of its intersection. Corresponding angles are ...
northwest: {1, 5, 9, 13}
northeast: {2, 6, 10, 14}
southeast: {3, 7, 11, 15}
southwest: {4, 8, 12, 16}
Any pair of numbers from the same set will be corresponding angles.
Answer:
The length of the longest section x = 36 ft
Step-by-step explanation:
Total length of the wire = 51 ft
Let first section of wire = x
Second section of wire = y
Third section of wire = z
According to given data
x = 3 y & y = 4 z
Total length of the wire = x + y + z = 51
![y + 3 y + \frac{y}{4} = 51](https://tex.z-dn.net/?f=y%20%2B%203%20y%20%2B%20%5Cfrac%7By%7D%7B4%7D%20%3D%2051)
![\frac{17}{4} y = 51](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D%20y%20%3D%2051)
y = 12
x = 3 × 12 = 36
![z = \frac{y}{4} = \frac{12}{4} = 3](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7By%7D%7B4%7D%20%3D%20%5Cfrac%7B12%7D%7B4%7D%20%3D%203)
Therefore the length of the longest section x = 36 ft
Answer:
![x^{2} +(y+3.2)^{2} =2.2^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%28y%2B3.2%29%5E%7B2%7D%20%3D2.2%5E%7B2%7D)
Step-by-step explanation:
![(x-h)^{2} +(y-k)^{2} =r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%20%2B%28y-k%29%5E%7B2%7D%20%3Dr%5E%7B2%7D)
The center is (h, k)
r is the radius
3(6x+2)-18x=12 (y=6x+2, so you plug in 6x+2 into the y in 3y-18x=12)
18x+6-18x=12 (Then you distribute the 3 to the 6x and to the 2)
6=12 (Combine like terms 18x-18x)
There is no solution. Hope this helps and makes sense.