Two equations will not have solution if they are parallel and have different y-intercepts. Parallel lines have the same slope. In a slope-intercept form, the equation of the line can be expressed as,
y = mx + b
where m is slope and b is the y-intercept.
Given: 3x - 4y = 2
Slope-intercept: y = 3x/4 - 1/2
A. 2y = 1.5x - 2
Slope-intercept: y = 3x/4 - 1
B. 2y = 1.5x - 1
Slope-intercept: y = 3x/4 - 1/2
C. 3x + 4y = 2
Slope-intercept: y = -3x/4 + 1/2
D. -4y + 3x = -2
Slope-intercept: y = 3x/4 + 1/2
Hence, the answers to this item are A and D.
We know, the principle equation of Explicit rule is:
a(n) = a + (n - 1)d
Where, d = common difference
Compare the equations,
Then, d = 7
In short, Your Answer would be: 7
Hope this helps!
![72^{\circ}](https://tex.z-dn.net/?f=72%5E%7B%5Ccirc%7D)
1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.
2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:
![\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B%5Calpha%7D%7B360%5E%7B%5Ccirc%7D%7D%5Ctimes%5Cpi%20r%5E2%20%5C%5C%20A_%7BUnshaded%7D%2BA_%7Bshaded%7D%3DA_%7BCircle%7D%20%5C%5C%20500%5Cpi%2B%5Cfrac%7B%5Calpha%7D%7B360%7D%5Ctimes%5Cpi%20r%5E2%3D%5Cpi%20r%5E2%20%5C%5C%20%20%5C%5C%20500%5Cpi%2B%5Cfrac%7B%CE%B1%7D%7B360%7D%5Cpi25%5E2%3D25%5E2%5Cpi%20%5C%5C%20%20%5C%5C%20500%5Cpi%2B%5Cfrac%7B125%5Cpi%CE%B1%7D%7B72%7D%3D625%5Cpi%20%5C%5C%20%20%5C%5C%20500%5Cpi%20%2B%5Cfrac%7B125%5Cpi%20%CE%B1%7D%7B72%7D-500%5Cpi%20%3D625%5Cpi%20-500%5Cpi%20%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B125%5Cpi%20%CE%B1%7D%7B72%7D%3D125%5Cpi%20%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B72%5Ctimes%20%5C%3A125%5Cpi%20%CE%B1%7D%7B72%7D%3D72%5Ctimes%20%5C%3A125%5Cpi%20%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B125%5Cpi%20%CE%B1%7D%7B125%5Cpi%20%7D%3D%5Cfrac%7B9000%5Cpi%20%7D%7B125%5Cpi%20%7D%20%5C%5C%20%20%5C%5C%20%CE%B1%3D72%5E%7B%5Ccirc%7D%20%5C%5C%20%20%5C%5C%20%20%5Cend%7Bgathered%7D)
Thus, the centra angle of that shaded area is 72º
The values are as follows:
z=50
v= 150
x= 100
y=15
w= 50
<h3>What is parallel lines?</h3>
Parallel lines are lines in a plane that are always the same distance apart.
z+130= 180 (Linear pair)
z=50
v+ 30 = 180 (Linear pair)
v= 150
x= 180- 30 - 50 (angle sum property)
x= 100
2y=30 (alternate interior angle)
y=15
w+x+2y=180 (Linear pair)
w+ 100 + 30 = 180
w= 50
Learn more parallel lines here:
brainly.com/question/16701300
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Easy just subtract 2x from each side then divide