Answer:
A" (3,3)
B" (3,5)
C" (5,7)
D" (5,1)
Yes they are congruent as they are similar and have the same shape and size.
Step-by-step explanation:
-y,x is the formula for a 90° counter clockwise rotation, And since the shape nor size doesnt change it is congruent.
I would say it is <span>D- (-4,-5), for counterclockwise you turn towards the right. At 180 degrees it would be (4, -5) if you turn again you would get (-4,-5) hope this helps</span>
Let's let the weight of a large box be L, and the weight of a small box be S.
We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120
We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234
You can multiply the first equation by 3 to get:
15L + 9S = 360
See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75
Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75
Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.
So a large box is 15.75kg, and a small box is 13.75kg.
Hope this helped
