We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
7 x p, product means the numbers are being multiplied.
well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.
now, if 213.90 is the 115.%, what is "x"? the 100%.
so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.
but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.
now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?
The angle between the segment labled x and the chord labeled 30 is not specified. The measure of x cannot be determined, except to say that it is somewhere between 16 and the radius of the circle, √(16²+15²) = √481 ≈ 21.93.
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If the angle between x and the chord were marked as a right angle, one could say x=16, because all chords of the same length are the same distance from the center of the circle.
