<u>Answer:</u>
The point-slope form of the line that passes through (5,5) and is perpendicular to a line with a slope of 
is 4x + y -25 = 0
<u>Solution:</u>
The point slope form of the line that passes through the points 
and perpendicular to the line with a slope of “m” is given as
---- eqn 1
Where “m” is the slope of the line. 
are the points that passes through the line.
From question, given that slope “m” =
Given that the line passes through the points (5,5).Hence we get
By substituting the values in eqn 1 , we get the point slope form of the line which is perpendicular to the line having slope can be found out.
y - 5 = -4(x - 5)
y - 5 = -4x + 20
on simplifying the above equation, we get
y - 5 + 4x -20 = 0
4x + y - 25 = 0
hence the point slope form of given line is 4x + y - 25 = 0
Answer:
Y = 64°
Step-by-step explanation:
The internal angles of a triangle sum to 180°
So by subtracting the known angles from the angle sum you can find Y
Y = 180° - 37° - 79° = 64°
Hello! What you're seeing in these images are two parallel lines cut by a transversal. There are many relationships between angles here.
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Problem g: What you are seeing here is alternate interior angles - they are both on the inside of the lines, and are on opposite sides of the transversal. These angles are proven to always measure the same thing.
Therefore, 8x - 4 = 60. Use this equation, and solve.
8x - 4 = 60
8x = 64
x = 8
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Problem h: Here, you are seeing corresponding angles. When you look at the two intersection points, these two angles are located "between the same sides". These angles are also proven to always measure the same.
Therefore, 6x = 5x + 10. Use this equation, and solve.
6x = 5x + 10
x = 10
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Problem i: These are alternate exterior angels. These are located on opposite ends of the transversal, and are on the outside of the parallel lines. These angles also always measure the same.
Therefore, -1 + 14x = 12x + 17. Now solve.
-1 + 14x = 12x + 17
2x = 18
x = 9
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Therefore, your three answers are x = 8, x = 10, and x = 9.
Hope this helps!
Answer:
Step-by-step explanation:
There are 6 blue marbles and 14 red marbles, so the ratio of blue marbles to red marbles 
