Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:

Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:

The perimeter is given by:

I hope it helps you!
The area of a parallelogram is length x height.
The answer would be C. A = 12 • 8
Let the number sold of veggie pizza be a
The number sold of cheese pizza be b
a+b=25…1
A+7=b…2
Sub 2 into 1
a + a+7 = 25
2a+7=25
2a=18
a=9
Sub a=9 into 2
9+7=b
b=16
They sold 9 veggie pizza and 16 cheese pizza
Answer:
Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.
Answer:
A) (3,-8); Reflection
Step-by-step explanation:
The question kind of gave you a hint. Look at how the coordinate point is arranged...
(-y,-x)
That means all positive become negatives and all negatives become positives. This gives you the coordinate of (3,-8).
As for reflection or rotation, the image's coordinates FLIPPED, like how images do in a mirror's reflection.
This means the answer would be A) (3,-8); Reflection.