Answer:
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
Step 1: Dilation by a scale factor of 1/2.
A point (x, y) is sent to (1/2 x, 1/2 y).
A(2, 2) ---> (1, 1)
B(2, 10) ---> (1, 5)
C(8, 12) ---> (4, 6)
Step 2: Rotate about the origin 180 degrees
A point (x, y) is sent to (-x, -y).
(1, 6) ---> A'(-1, -1)
(1, 5) ---> B'(-1, -5)
(4, 6) ---> C'(-4, -6)
Answer:
What is a function?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let d represent the number of dimes. Then the number of quarters is 2d-3 and the total value of the coins is ...
0.10d + 0.25(2d-3) = 7.05
0.60d -0.75 = 7.05 . . . . . . . simplify
d = (7.05 +0.75)/0.60 = 13 . . . . add 0.75, divide by 0.60
2d-3 = 2·13 -3 = 23
Brandon has 23 quarters and 13 dimes.
