Atransformation of adef results in ad'ef.
which transformation maps the pre-image to the image?
the transformation is a dilation.
the transformation is a reflection.
the transformation is a rotation.
the transformation is a translation.

  The transformation is a rotation.

Step-by-step explanation:

Corresponding sides of the image and pre-image are marked congruent, so there is no dilation involved. Dilation changes the lengths of corresponding segments.

The vertex order DEF is clockwise in both the image and pre-image, so there is no reflection involved. (Reflection reverses the vertex order to counterclockwise.)

Segment FD points to the northeast, but segment F'D' points to the west, so a rotation is involved.

With no coordinate axes, we cannot tell if translation is involved or not. (We presume some translation is required, but the primary transformation of interest here is the rotation.)

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step-by-step explanation:

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: