Answer:
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
Slope = m & y-intercept = b
x - 5y = 15
-5y = -x + 15
y = 

so, slope = 1/5 ; (-5 , 7)
y -y1 = m(x -x1)
![y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8](https://tex.z-dn.net/?f=y%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7D%28x-%20%5B-5%5D%29%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7D%28x%20%2B%205%29%5C%5C%5C%5Cy%20-%207%20%3D%20%5Cfrac%7B1%7D%7B5%7Dx%2B5%2A%5Cfrac%7B1%7D%7B5%7D%5C%5C%5C%5Cy%20-%207%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%5C%5C%5C%5Cy%20%3D%5Cfrac%7B1%7D%7B5%7Dx%2B1%2B7%5C%5C%5C%5Cy%3D%5Cfrac%7B1%7D%7B5%7Dx%20%2B%208)
9514 1404 393
Answer:
AB = 4
∠E = 30°
Step-by-step explanation:
Side AD is 4 times the length of corresponding side EH, so we expect side AB to be 4 times the length of side EF.
AB = 4·EF = 4·1
AB = 4
__
Angle E will have the same measure as corresponding angle A.
angle E = 30°
Answer:
8 (3x - 1) = 2 (9 – 7x)
24x - 8 = 18 - 14x
24x + 14x - 8 = 18 -14x + 14x
38x - 8 = 18
38x - 8 + 8 = 18 + 8
38x = 26
38x / 38 = 26 / 38
x = 13/19
Step-by-step explanation:
1. distribute both sides
2. add 14x to both sides
3. add 8 to both sides
4. divide both sides by 38 to get x
Answer:
289
Step-by-step explanation:



Hope this helps
Answer:
Part A: C. 4 to 1
Part B: 2
Step-by-step explanation:
<h3>Part A: </h3>
What is the ratio of the number of students receiving a C and the number of students receiving an A?
<u>As per table given:</u>
- 12 students received a C and 3 students received a A
The ratio C/A is:
The correct answer choice is:
<h3>Part B: </h3>
Complete the statement:
For every student receiving a D, ______ students received a B.
<u>As per table given:</u>
- 4 students received a D and 8 students received a B
<u>The ratio D/B is:</u>
<u>The statement is:</u>
- For every student receiving a D, 2 students received a B.