Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.
Listing the data from the Stem and Leaves table as raw data we have:
02, 03, 03, 07, 10, 10, 17, 34, 34, 35, 35
Hence the smallest value is 02 = 2
Answer: A
Answer:
x = 6
Step-by-step explanation:
Assuming the equation is
-
= - 4
Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2(2x + 3) - 9x = - 24
4x + 6 - 9x = - 24
- 5x + 6 = - 24 ( subtract 6 from both sides )
- 5x = - 30 ( divide both sides by - 5 )
x = 6
It would be 126. He would make 126 dollars.