<h3>
Answer:</h3>
![\large\boxed{C).\,m= 5/3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BC%29.%5C%2Cm%3D%205%2F3%7D)
<h3>
Step-by-step explanation:</h3>
In this question, we're finding the slope of the line.
What this means is that we have to make the equation into slope intercept form.
Slope intercept form is: y = mx + b
In order to get the equation to slope intercept form, we have to get y by itself and solve from there.
Solve:
![-5x + 3y=30\\\\\text{Add 5x to both sides to get 3y by itself}\\\\3y=5x+30\\\\\text{Divide both sides by 3}\\\\y = 5/3x+30\\\\\text{The slope of the equation would be 5/3}](https://tex.z-dn.net/?f=-5x%20%2B%203y%3D30%5C%5C%5C%5C%5Ctext%7BAdd%205x%20to%20both%20sides%20to%20get%203y%20by%20itself%7D%5C%5C%5C%5C3y%3D5x%2B30%5C%5C%5C%5C%5Ctext%7BDivide%20both%20sides%20by%203%7D%5C%5C%5C%5Cy%20%3D%205%2F3x%2B30%5C%5C%5C%5C%5Ctext%7BThe%20slope%20of%20the%20equation%20would%20be%205%2F3%7D)
When you're done solving, you would see that answer choice C). m = 5/3 would be the correct answer.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3><h3 />
−3 (x+5 ) = 9.
-3(x) + -3(5) = 9
-3x -15 = 9
+15 +15
-3x = 24
/-3 -3
x = -8 Hope this helps!
Answer:
Option A is correct
An equation
does not have an solution of 1/4 form.
Explanation:
To determine which equation does not have a solution of 1/4 for n.
Option A:
![15n = 60](https://tex.z-dn.net/?f=15n%20%3D%2060)
Substitute the value of n = 1/4 we have;
![15 \cdot \frac{1}{4} = 60](https://tex.z-dn.net/?f=15%20%5Ccdot%20%5Cfrac%7B1%7D%7B4%7D%20%3D%2060)
False
Similarly for,
Option B :
![24n = 6](https://tex.z-dn.net/?f=24n%20%3D%206)
Substitute the value of n = 1/4 we have;
![24\cdot \frac{1}{4} = 6](https://tex.z-dn.net/?f=24%5Ccdot%20%5Cfrac%7B1%7D%7B4%7D%20%3D%206)
True
Option C:
![n-1 = -\frac{3}{4}](https://tex.z-dn.net/?f=n-1%20%3D%20-%5Cfrac%7B3%7D%7B4%7D)
Substitute the value of n = 1/4 we have;
![\frac{1}{4} -1 = -\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20-1%20%3D%20-%5Cfrac%7B3%7D%7B4%7D)
True
Option D:
![1\frac{1}{3} +n = 1\frac{7}{12}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B3%7D%20%2Bn%20%3D%201%5Cfrac%7B7%7D%7B12%7D)
Substitute the value of n = 1/4 we have;
![\frac{4}{3} + \frac{1}{4} = \frac{19}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B19%7D%7B12%7D)
![\frac{16+3}{12} = \frac{19}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B16%2B3%7D%7B12%7D%20%3D%20%5Cfrac%7B19%7D%7B12%7D)
True
Therefore, an equation
does not have an solution of 1/4 form.
Answer:
First you have to find x.
A stratight line is 180 degree.
Therefore, we have:
16x+8+4x-8=180
20x= 180
x= 9
Angle BAT = 16x+8= 16(9)+8= 152 degree.
Angle CAT= 180-152= 28 degree.