Answer:
The other two vertices have coordinates (4,4) and (10,8). He will need 40 meters of fence for the soccer field. And inside the fence there are 48 square meters, which is a 24% of the total surface of the land behind his house, assuming it is a square of 10 meters of lengt and 10 meters of width.
Step-by-step explanation:
Since the coordinates must form a rectange, then, the other two location must be (4,4) and (10,8) (each coordinate must have something in common with the coordinates of the 2 locations we were given).
The sides of the fence have length 8-4 = 4, and 10-4 = 6. Thus, the perimeter of the fence is 2*4+2*6 = 20 units. Since each unit is 2 meters, then that means that Jonas will need 40 meters of fence.
The area inside the fence is 6*4 = 24 square units, therefore it is 48 square meters, and assuming that the grid goes from 0 to 10 in both coordinates, the area of the land behind his house is 10*10 = 100 square units, thus it is 200 square meters. He is using 48/200*100 = 24% of the land for the soccer field.
The special marks used to show that segments are congruent are called "hashmarks."
Hello there!
Perpendicular lines have slopes that are opposite reciprocals. It means that if we have 8, then its opposite reciprocal would be -1/8.
Hope this helps!
~Just an emotional teen who listens to her favorite song "Try Everything"
This is a good one!
So we know that a triangle's angles must add up to 180 degrees. Therefore, we can say that:
(3x - 3) + (5x + 3) + (4x) = 180.
This can be rewritten as 12x = 180.
Divide each side by 12 to get x alone, you get:
x = 15
Time to plug n' chug.
4x = 60, 3x - 3 = 42, 5x + 3 = 78
Boom!