Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
Answer:
y = 14
Step-by-step explanation:
The sum of the angles in a triangle add to 180 degrees
50 + 2x+ 5y + 10 = 180
We know that 2x = 50 since they are the base angles of sides that have the same length, they must be the same
50 + 50 + 5y+10 =180
Combine like terms
110 + 5y =180
Subtract 110 from each side
110+5y-110 = 180-110
5y = 70
Divide each side by 5
5y/5 =70/5
y = 14
Step-by-step explanation:
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It will take 15 hours to mow 9 lawns
Answer:
commutative property
Step-by-step explanation:
