Answer:
first angle: 27 degrees
second angle: 135 degrees
third angle: 18 degrees
Step-by-step explanation:
Represent each angle with a variable x and sum them to 180 degrees, the total angle measure of a triangle. So...
first angle: x
second angle: 5x
third angle: 2x/3
x+5x+2x/3=180 Combine like terms
6x+2x/3=180 Change the 6x terms to have a denominator of 3
18x/3+2x/3=180 Combine like terms
20x/3=180 Cross multiply to solve for x
20x=540 so x=27
Now plug in to get angles:
first angle: 27
second angle: 135
third angle: 18
Check: 27+135+18=180
Answer: 
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Work Shown:
Explanation:
In the second step, I multiplied both sides by r to move it to the left side. Then I divided both sides by p to isolate r.
In short, the r and p swap places.
Answer:
4/1
Step-by-step explanation:
To get from one dot to the next, you go up by four and to the right by one, making the slope 4/1
Answer:
Point C occurs on the line x = 1
Point D occurs on the line y = -2
The intersection of both lines occurs at the point E = (1,-2)
The difference between the x coordinates of points D and E is 1 + 1/4 units
The difference between the y coordinates of points C and E is 1 unit
Let point F be the point that is 1/4 the distance from point C to point D
To find the x-coordinate F subtract the difference between the x coordinate of points C and E from the x-coordinate of C:
1 - (1 + 1/4) = -1/4
To find the y-coordinate of F subtract the difference between the y-coordinates of D and E from the y-coordinate of C
2 - 1 = 1
The coordinates of point F are (-1/4, 1)
Therefore, the y value of the point that is 1/4th the
Answer:
A (2,5)
B (-3,-1)
C (0,2)
D (2,-4)
E (-4,3)
F (1,3)
Step-by-step explanation:
