Answer:
![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)
Step-by-step explanation:
Given
![y+2=\frac{1}{4}(x-3)](https://tex.z-dn.net/?f=y%2B2%3D%5Cfrac%7B1%7D%7B4%7D%28x-3%29)
Required
Find the slope
![y+2=\frac{1}{4}(x-3)](https://tex.z-dn.net/?f=y%2B2%3D%5Cfrac%7B1%7D%7B4%7D%28x-3%29)
Subtract 2 from both sides
![y+2-2=\frac{1}{4}(x-3) - 2](https://tex.z-dn.net/?f=y%2B2-2%3D%5Cfrac%7B1%7D%7B4%7D%28x-3%29%20-%202)
![y=\frac{1}{4}(x-3) - 2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%28x-3%29%20-%202)
Open bracket
![y=\frac{1}{4}x-\frac{1}{4}*3 - 2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B1%7D%7B4%7D%2A3%20-%202)
![y=\frac{1}{4}x-\frac{3}{4} - 2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B3%7D%7B4%7D%20-%202)
Take LCM
![y=\frac{1}{4}x+\frac{-3 - 8}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B-3%20-%208%7D%7B4%7D)
![y=\frac{1}{4}x+\frac{-11}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2B%5Cfrac%7B-11%7D%7B4%7D)
![y=\frac{1}{4}x-\frac{11}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B11%7D%7B4%7D)
An equation has the form:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where
![m = slope](https://tex.z-dn.net/?f=m%20%3D%20slope)
By comparing:
and ![y=\frac{1}{4}x-\frac{11}{4}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-%5Cfrac%7B11%7D%7B4%7D)
![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)
<em>So, the slope is 1/4</em>
Bae is the solution to this question
Answer:
SOLUTION #1
If the digits are allowed to repeat, the answer is 27. (There are three ways to fill digit 1, three ways to fill digit 2, and three ways to fill digit 3. Therefore, there are 3 x 3 x 3 = 27 possibilities.)
SOLUTION #2
If the digits are NOT allowed to repeat, the answer is 6. (There are three ways to fill digit 1, only two ways to fill digit 2, and only one way to fill digit 3. Therefore, there are 3 x 2 x 1 = 6 possibilities.)
Step-by-step explanation:
Hope this <em><u>Helped!</u></em> :D
Answer:
Step-by-step explanation:
Answer:
c. m∠2 = m∠5
Step-by-step explanation:
We can check 1 by 1 and find the false one.
For answer A, measures 2 and 4 are vertical angles, which means they are equal, so that's not false.
For answer b, measures 4 and 8 are corresponding angles, since X and Y are parallel, so that's also not false.
For answer c, measures 2 and 5 are supplementary to each other, and since the transversal is not perpendicular to X nor Y, they are not equal, therefore, this is false, making that the answer.
For answer d, measure 2 and 6 are corresponding angles, so that's also not false.
Therefore, the answer must be c.