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.
Solutions
⇒15 Cookie to 40 brownies can be written as 15:40
⇒15:40 is the ratio we have to simplify
The GCF of 15 and 40 is 5 so we divide them by 5
15 ÷ 5 = 3
40 ÷ 5 = 8
3:8 is in simplest form
Step-by-step explanation:
hope this help have a great day!
Answer:
yes
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
x = 8
