Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
.45 * 120 = 54
.072 * 54 = 3.888
54 + 3.888 = 57.888= $57.89
Answer: 27 degrees
Step-by-step explanation: 180-90 because its perpendicular -63=27
Answer:
y = -2
Step-by-step explanation:
2y - 2 = -6
+2 +2
2y = -4
--- ----
2 2
y = -2
Answer:
calculator.
Step-by-step explanation:
type in the number, the multiplication sign, and other number, and plus =.
