Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
On this exercise is asked to find the scale factor by which the triangle ABC was
dilated to produce the triangle A'B'C'.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.
Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)
Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)
As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.
Answer:
therefore, he had 181 digital cameras at first
Step-by-step explanation:
total=240
digital= 3x+82
manual= x+26
total= digital + manual
240= 3x+82+26+x
x= 240-108/4
x= 33
digital= 3×33+83
=181
$12•6=$72
$165-$72=$93
$93/$3= 31 cupcakes
Multiply $12 by the 6 cakes sold getting $72
Subtract $72 from the total $165 dollars made getting $93 left
Divide $93 by the $3 each cupcake cost getting 31 cupcakes
ANSWER: 31 cupcakes sold
Answer:
$5.50
Step-by-step explanation:
The function we are given is
p = 0.80n + 5.50,
where n is the number of balls.
Multiplying this variable by 0.80 means $0.80 will be the cost per ball. The additional amount added to the variable in the function, 5.50, will be the entrance fee.