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.
Answer:
Denver, Colorado is 0.98 miles above sea level
Step-by-step explanation:
There are 5280 feet in one mile. 5183/5280=0.98, rounding to the nearest hundredth.
So, Denver, Colorado is 0.98 miles above sea level, or 49/50 of a mile.
She needs to complete 8 more paintings. If you multiply 6 by 5, you get 30. Subtract 30 from 38, you would get 8.
5.5x1000=5,500m
5,500x100=550,000cm
OR
5.5x100,000
740 square meters
Just find the areas of all the faces of the prism. And add then all up:
Area of rectangular base (bottom):
16 • 10= 160 square meters
Area of triangle facing front:
1/2 • 15 • 16= 120
Multiply 120 by 2 cause theres a same triangle facing back the prism: 120 • 2= 240
Area of rectangle facing right:
10 • 17= 170
Multiply 170 by 2 cause theres a same rectangle facing left the prism: 170 • 2= 340
Add them all up together:
160+ 240+340= 740
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