Answer:
Line s and Line t are parallel.
Step-by-step explanation:
Now, we know that angles 1 and 2 are congruent, because they have the same angle measures. Now, looking at their positions, we can see that they are alternate exterior angles.
By the converse of the Alternate Exterior Angle, (I do not remember exactly how the theorem went) if two lines are cut by a transversal and have congruent alternate exterior angles, then the lines are parallel. Using this theorem, we can find that lines s and t are parallel, because they are cut by a transversal and their alternate exterior angles are congruent.
I hope you find my answer and explanation to be helpful. Happy studying.
The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10
m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.
Answer:
84
Step-by-step explanation:
The mean is calculated as
mean = 
, then
= 21 ( multiply both sides by 4 )
sum = 84
Answer:
Slope: 5
Y-intercept: 0
Equation: y=5x
Step-by-step explanation:
Lets look for an equation of the format y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Slope is defined as the "Rise/Run" of the line. The change in y(the rise) for a change in x(the run). This can be calculated by taking any two of the given data points. I'll pick (1,5) and (5,25):
Rise = (25 - 5) = 20
Run = (5 - 1) = 4
The Rise/Run, or slope, m, is (20/4) or 5.
<u>The equation becomes y = 5x + b.</u>
To find b, the y-intercept, enter <u>any</u> of the points into the equation and solve for b:
y = 5x + b
y = 5x + b for (4,20)
20 = 5*(4) + b
b = 0
The line goes through the origin at x = 0 (0,0).
The equation is y = 5x + 0 or just y = 5x.
Slope: 5
Y-intercept: 0
Equation: y=5x
Answer:0.09 < 0.6 < 0.7 < 0.8 < 0.99 < 1
Step-by-step explanation:
