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:
21 glasses of water.
Step-by-step explanation:
You can do a proportion.
or
1 glass/1/6 of a bottle.
x glasses/3.5 bottles.
You can cross multiply.
1/6 times x is 1/6x
1 times 3.5 is 3.5/
1/6x=3.5.
do the reciprocal of 1/6 which is 6.
So, 6 times 3.5 is 21.
Therefore, you have 21 glasses of water.
$744.43, #3, and 17,922 ok
Answer:
Step-by-step explanation:
2x-3y=6
-3y = -2x + 6
y = -2x/-3 + 6/ -3
y = 2x/3 - 2 {y =mx + c}
slope = 2/3
The required line's slope is also 2/3 as it is parallel to this line
Point(9, -3)
y -y1 = m(x-x1)
y - (-3) = 2/3 (x - 9)
y + 3 = 2x/3 - 2*9/3
y + 3 =2x/3 - 2*3
y + 3 = 2x/3 -6
y = 2x/3 - 6 - 3
y = 2x/3 - 9