Answer:
Coordinate of E: (-2,3) Coordinate of G: (2.5, 1.5)
Step-by-step explanation:
You first have to find the midpoints of AC and AB.
AC X coordinate:
X1+X2/2
Substitute the x points of AC in
1+(-5)/2=-2
AC Y coordinate:
Y1+Y2/2=3
Substitute the y points of AC in
5+1/2=3
You do the same thing with the AB line. I am pretty sure this works and I hope this helps!
Answer:
7. (-1, 10)
8. (7,-6)
9. C
10. One solution, Infinitely Many Solutions, No Solution
11. Adult tickets: 52 Student tickets: 68
Answer:
2 hours
Step-by-step explanation:
Slope represents the hourly rate.
Constant represents initial price.
If the slope of AB = CD and BC = AD it's a parallelogram:
Slope of AB = 6+1 / -9+5 = -7/4
CD = -2-5 / 3+1 = -74
These are equal.
BC = 5-6 / -1 +9 = -1/8
AD = -2 +1 / 3+5 = -1/8
These are also equal so it is a parallelogram.
Now to find if the diagonals are perpendicular find the slope of the perpensicular points:
AC = 5 +1 / -1 +5 = 6/4 = 3/2
BD = 6+2 / -9 -3 = 8/-12 = -2/3
Because BD is the reciprocal of AC, this means they are perpendicular.
And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.
