The first and last one are true!
Answer:
The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.
Step-by-step explanation:
Since the two angles are corresponding, they are equal.
7x-14 = 4x + 19
Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.
3x-14 = 19
Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.
3x = 33
Divide by 3.
x = 11
Answers:
Horizontal Line: y = 5
Vertical Line: x = 8
=================================================
Explanation:
All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.
Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).
The answer is 67 because you cross multiply 4/100 with x/1675 (: