-30x-12y+36x-12y
Combine the x' s first
6x-12y-12y
Combine the y's
6x-24y is your answer
Answer: 0.49 ± 0.0237
Step-by-step explanation: A interval of a 99% confidence interval for the population proportion can be found by:
± z.
is the proportion:
= 
= 0.49
For a 99% confidence interval, z = 2.576:
0.49 ± 2.576.
0.49 ± 2.576.
0.49 ± 2.576.(0.0092)
0.49 ± 0.0237
For a <u>99% confidence interval</u>, the proportion will be between 0.4663 and 0.5137 or 0.49 ± 0.0237
the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
<h3>How to determine the equation</h3>
From the figure given, we can deduce the coordinates of the sides
For A
A ( 4,2)
For B
B ( 4, 5)
C ( 1, 2)
D ( 2, -4 )
E ( 5, -4)
F ( 2, -1)
The slope for BC
Slope = 
Substitute the values for both B and C coordinates, we have
Slope = 
Find the difference for both the numerator and denominator
Slope = 
Slope = 1
We have the rotation for both point ( 0, 1)
y - y1 = m ( x - x1)
The values for y1 and x1 are 1 and 0 respectively and the slope m is 1
Substitute the values
y - 1 = 1 ( x - 0)
y - 1 = x
Make 'y' the subject of formula
y = x + 1
Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1
Learn more about linear graphs here:
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Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees