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)
For question 7, the output from left to right is:
20, 30, 40, 50, 60
For question 9, the output from left to right is:
6, 12, 18, 24
Explanation:
Using the rule (10=d-b) we can just add 10 to the input.
The same thing results with #9. We just need to add 4 to the input so that in the end u(output)-g(input)=4.
Hope this helps!! <3
Answer:
The original speed is 3.7 mph and his faster speed is 7.4 mph.
Step-by-step explanation:
He moves 11 miles with bicycle speed of x mph and takes rest for 1 hour and then again he moves 15 miles with 2x mph speed.
The total time he takes is 6 hours.
Hence, 
⇒ 
⇒ 
⇒ 
⇒ x = 3.7 mph
and 2x = 7.4 mph
Therefore, the original speed is 3.7 mph and his faster speed is 7.4 mph. (Answer)
