A dilation is a transformation

, with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'.
The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
In a dilation of

, the scale factor,

is mapping the original figure to the image in such a way that the
distances from O to the vertices of the image are half the distances
from O to the original figure. Also the size of the image is half the
size of the original figure.
Therefore, <span>If

is a dilation of △ABC, the truth about the image △A'B'C'</span> are:
<span>AB is parallel to A'B'.

The distance from A' to the origin is half the distance from A to the origin.</span>
27
Multiply 10 and 3 because thats how much each book is worth.
Then divide 810 by 30
The answer is 27
When applying for the job, we would hope that is the mode. The mode is the value that appears most often; if most people in the office make $100,000 that may speak better of your potential salary.
Answer:
16.30 ft ≈ 16 ft 4 in
Step-by-step explanation:
Please see the image attached. According to the figure, AB is the leaning flag. When the sun is directly overhead at noon, the shadow of the flag is the line AC in the figure. The length of AC is 5ft. The length of the string of plumb bob is 3ft and this is represented by the line XY. Y is the point of the plumb bob and this is at a distance of 11 in ( =
ft from the base of the flag, i.e, AY = 0.92ft.
Now, the angle between the AB and AC is taken as ∅. In traingle AXY, tan(∅) =
. In triangle ABC, for the same ∅, tan(∅) =
. Therefore, tan(∅) =
. Here, XY = 3ft, AY = 0.92ft, AC = 5ft.

Therefore,
×5 = 16.30 ft ≈ 16 ft 4 in.