The answer is r = 3 or r = -3
Answer:
y = 12x/5 - 39/5.
Step-by-step explanation:
The equation of the straight line is given by the following formula:
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1); where (x, y) is the general point, (x1, y1) is the first point on the line, and (x2, y2) is the second point on the line.
Given that (x1, y1) = (2, -3) and (x2, y2) = (7, 9):
(y - (-3))/(x - 2) = (9 - (-3))/(7-2).
(y + 3)/(x - 2) = 12/5.
Cross multiplying:
5*(y + 3) = 12*(x - 2).
5y + 15 = 12x - 24.
5y = 12x - 39.
y = 12x/5 - 39/5.
This the equation of the line in the y = mx + c form!!!
Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
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Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
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Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.
Answer:
X + 45
X + 12
1 - x
X - 13
Step-by-step explanation:
Using the keywords sum of, more than, and subtracted will help you. (You can also flip the expression since it didn't say how.
A) You can have
1-1; 1-2; 1-3; 1-4; 1-5; 1-6; 2-2; 2-3; 2-4; 2-5; 2-6; 3-3; 3-4; 3-5; 3-6; 4-4; 4-5; 4-6; 5-5; 5-6; 6-6
Those are all possible outcomes
B) Only 6 of the options include at least one three
The fraction is: 6/21 or simplified 2/7
C) To find this answer we need a percentage
to find that...
6/21 and ?/100
(When writing put it as a fraction to visually see the next part)
We will cross-multiply: the ? will be represented by x
(6 times 100) + (21x)
600 = 21x
Now divide 600 by 21 to get about 28.6
Since 28.6 < 34 then we would get a probability of less than 34 out of 100