Answer:
z=-5
Step-by-step explanation:
divide -77.5 by 15.5, which equals -5
This can be done with a dilation followed by a rotation.
When you plot the points and compare the coordinates, you can see that the coordinates of E, the image of A, are cut in half, the x- and y-values are swapped, and the y-value is negated. A dilation will cut it in half, and a rotation will swap the coordinates and negate them.
Answer:
The coordinates of D are (8,3)
Step-by-step explanation:
We have quadrilateral ABCD being a parallelogram with coordinates A(3,2), B(5,4), C(10,5), and D(a,b).
We want to find the coordinates of D.
Since ABCD is a parallelogram, the diagonals AC and BD bisects each other.
The midpoint of AC is (13/2,7/2).
This is also the midpoint of BD.
By the midpoint rule:
This implies that:
Similarly,
The coordinates of D are (8,3)
2.40+2.20=4.60
9-4.60=4.40
Patricia has $4.40 left to spend (or save)