Four girls and eight boys are running for president or vice president of the Student Council. What is the probability that the p
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Given that <span>Line m is parallel to line n.
We prove that 1 is supplementary to 3 as follows:
![\begin{tabular} {|c|c|} Statement&Reason\\[1ex] Line m is parallel to line n&Given\\ \angle1\cong\angle2&Corresponding angles\\ m\angle1=m\angle2&Deifinition of Congruent angles\\ \angle2\ and\ \angle3\ form\ a\ linear\ pair&Adjacent angles on a straight line\\ \angle2\ is\ supplementary\ to\ \angle3&Deifinition of linear pair\\ m\angle2+m\angle3=180^o&Deifinition of supplementary \angle s\\ m\angle1+m\angle3=180^o&Substitution Property \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7C%7D%0AStatement%26Reason%5C%5C%5B1ex%5D%0ALine%20m%20is%20parallel%20to%20line%20n%26Given%5C%5C%0A%5Cangle1%5Ccong%5Cangle2%26Corresponding%20angles%5C%5C%0Am%5Cangle1%3Dm%5Cangle2%26Deifinition%20of%20Congruent%20angles%5C%5C%0A%5Cangle2%5C%20and%5C%20%5Cangle3%5C%20form%5C%20a%5C%20linear%5C%20pair%26Adjacent%20angles%20on%20a%20straight%20line%5C%5C%0A%5Cangle2%5C%20is%5C%20supplementary%5C%20to%5C%20%5Cangle3%26Deifinition%20of%20linear%20pair%5C%5C%0Am%5Cangle2%2Bm%5Cangle3%3D180%5Eo%26Deifinition%20of%20supplementary%20%5Cangle%20s%5C%5C%0Am%5Cangle1%2Bm%5Cangle3%3D180%5Eo%26Substitution%20Property%0A%5Cend%7Btabular%7D)
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We prove that 1 is supplementary to 3 as follows:
The equation y - 2 = -5(x - 2) represents a linear function ⇒ 1st answer
Step-by-step explanation:
A linear function is any function that graphs to a straight line
(not a vertical line)
The forms of the linear equation are
- y = m x + b, where m is the slope of the line which represents the function and b is the y-intercept ⇒ slope-intercept form
, where m is the slope and
is a point lies on the line which represent the function ⇒ slope-point form
- Ax + By = C, where A, B, and C are constant ⇒ standard form
Linear function means the greatest power x and y in the equation of the function is 1
∵ The equation is y - 2 = -5(x - 2)
∵ The greatest power of x and y is 1
∵ The equation is in the form of , where
m = -5 and the coordinates of the point are (2 , 2)
∴ The equation represents a linear function
The equation y - 2 = -5(x - 2) represents a linear function
Learn more:
You can learn more about the linear function in brainly.com/question/4326955
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