Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Step-by-step explanation:
Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.
A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.
Also, the corresponding angles of similar triangles are congruent.
Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.
Answer:
see below
Step-by-step explanation:
The formula for the amount resulting from P earning interest at rate r continuously compounded is ...
A = Pe^(rt)
for P=2500 and r=0.12, this becomes ...
A = 2500e^(0.12t)
Answer:
the coordinates of point B are (-5, 2)
Step-by-step explanation:
1. use midpoint formula to find the midpoint (equation attached below)
2. plug in the numbers
3. solve
180 degrees means that the new x=-x and the new y=-y so
x=3 and y=-5 is orignal
new is -3 and 5
so new oint is
A(-3,5)
First, disregard the sign for absolute value and solve for x.
2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6
Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.
