Answer:
B
Step-by-step explanation:
We can start by converting 1 into 6/6 and 1/3 into 2/6. This makes subtraction much easier, and by subtracting the numerators, (6/6 - 2/6) you should get 4/6.
Answer:
Side YZ is the longest
Step-by-step explanation:
The longest side is across from the largest angle.
Angle X must be 80° because its exterior angle is 100° and they're supplementary. Angle Z is 60° for the same reason. Inside a triangle is always 180°, and since the measures of angle Z and X add up to 140°, so there's 40° left, meaning angle X is the largest.
Angle X is across from size YZ, so that's the longest
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
![slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2](https://tex.z-dn.net/?f=%20slope%20%28m%29%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%3D%20%5Cfrac%7B10%20-%202%7D%7B6%20-%202%7D%20%3D%20%5Cfrac%7B8%7D%7B4%7D%20%3D%202%20)
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
![y = 2x + (-2)](https://tex.z-dn.net/?f=%20y%20%3D%202x%20%2B%20%28-2%29%20)
![y = 2x - 2](https://tex.z-dn.net/?f=%20y%20%3D%202x%20-%202%20)
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
![8 = 2(a) - 2](https://tex.z-dn.net/?f=%208%20%3D%202%28a%29%20-%202%20)
![8 = 2a - 2](https://tex.z-dn.net/?f=%208%20%3D%202a%20-%202%20)
Add 2 to both sides
![8 + 2 = 2a](https://tex.z-dn.net/?f=%208%20%2B%202%20%3D%202a%20)
![10 = 2a](https://tex.z-dn.net/?f=%2010%20%3D%202a%20)
Divide both sides by 2
![\frac{10}{2} = a](https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B2%7D%20%3D%20a%20)
![5 = a](https://tex.z-dn.net/?f=%205%20%3D%20a%20)
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
![b = 2(4) - 2](https://tex.z-dn.net/?f=%20b%20%3D%202%284%29%20-%202%20)
![b = 8 - 2](https://tex.z-dn.net/?f=%20b%20%3D%208%20-%202%20)
![b = 6](https://tex.z-dn.net/?f=%20b%20%3D%206%20)
The first space is for the slope, which would be 2. The second is for the y-intercept, which is 110.
So if you fill those in, it would be N=2M+110