Translation is an isometry 6. show that the translations of r" form an abelian sabgroup of the symmetry group of r" (note: the full symmetry group of r" is not abelian) given a figue fc r", we can ansider the rotations carrying the figure onto itself. this will be a subgroup of the symmemtry group of f (you don't need to prove this)

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

-81 -56 -27 0 81

step-by-step explanation:

20

step-by-step explanation:

assuming you meant there are 24 pounds of apples in each case, if this is not what you meant, correct me so i can you further

step-by-step explanation: