P = 2(L + W)
L = 2W + 5/2
P = 2(2W + 5/2 + W)
P = 2(3W + 5/2)
P = 6W + 5
P - 5 = 6W
(P - 5) / 6 = W or 1/6P - 5/6 = W <===
A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:
![k = \frac{9}{3}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B9%7D%7B3%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
or
![k = \frac{12}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B12%7D%7B4%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
Read more about dilations at:
brainly.com/question/13176891
So,
Before I do anything, I would like to ask the question that should subconsciously and instantaneously pop into everyone's heads: Why is Violet calculating mills? Where does she live? Either it is a place where the value of money is very high, or Violet is very poor, so mills factor into prices.
To round $129.207 to the nearest cent (penny), find the mill's place, which is the 7.
Since 7 is greater than or equal to 5, round up.
$129.207 --> $129.21
Violet's dress will cost $129.21 rounded to the nearest cent.