Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216
Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18
i.e length = 12 and width = 6 + 18 = 18
Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.
R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)
So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.
Answer:
x = 134
Step-by-step explanation:
Given that,
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.
We know that,
The sum of interior angles of a hexagon must equal 720 degrees.
So,
119+129+104+139 +95+x = 720
Where
x is the sixth angle
So,
586+x=720
x = 720-586
x = 134
So, the sixth angle is equal to 134.
It would take the tortoise 1 minutes and 15 seconds
