Answer:
(11, -11)
Step-by-step explanation:
The coordinates of the midpoint are the average of the endpoint coordinates.
6 = (x + 1) / 2
x = 11
-2 = (y + 7) / 2
y = -11
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
- 2s + g = 171
- 5s + 8g = 576
Cramer's rule tells you the solution to the system
Is given by
- x = (bf-ey)/(bd-ea)
- y = (cd-fa)/(bd-ea)
Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
Answer:
X=90
Step-by-step explanation:
x=90 because it is a right angle.
hope that helps!
Answer:
1/3
Step-by-step explanation:
60-90 is 30 numbers, right? So it is 30/90, or 1/3
