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.
Thus, a dilation with centre O and a scale factor of k maps the original figure to the image in such a way that the<span>
distances from O to the vertices of the image are k times the distances
from O to the original figure. Also the size of the image are k times the
size of the original figure.
In the dilation of triangle TUV</span>, It is obvious that the image <span>T'U'V' is smaller than the original triangle TUV and hence the scale factor is less than 1.
</span>The ratio of the
distances from A to the vertices of the image T'U'V' to the distances
from A to the original triangle TUV is the scale factor.
The scale factor = 3.2 / 4.8 = 2/3
Answer: 10x-6
Step-by-step explanation:
2(3x+6)+2(2x-4)
=> 6x+12+4x-8
=> 10x-6
Have a nice day! :)
Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
for P > 0.2S
Q = 0 for P < 0.2S

where:
curve number CN = 80

S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:




Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
Answer:x=3
Step-by-step explanation: