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.
The tangent of a given circle is perpendicular to the radius a the point called point if tangency. The radius of the circle is perpendicular to the tangent at the point of tangency. This property is especially useful in cases where the radius that connects to the point of tangency forms a part of right angle because the pythagorean theorem and trigonometry apply to right angles.
Answer:
We need to solve for the 4th side
4th side base = 75.5 -60.5 = 10 feet
4th side height = 16
4th side LENGTH^2 = 10^2 + 16^2
4th side = sq root (356) = 18.8679622641
Trapezoid Area = [(sum of the bases) / 2 ] * height
Trapezoid Area = [(136)/2] * 16
Trapezoid Area = 1,088 square feet, which is MUCH smaller
than 73,084
Step-by-step explanation:
One pound= 16 ounces
2 x 16 = 32 ounces = 2 pounds
2/5 can also be expressed in decimal form as .4
so 32 x .4 = 12.8
and then 3/10 also is .3
so 32 x .3 = 9.6
add the two 12.8 + 9.6 = 22.4
Answer:
The Mean is not equal to $31,129.
Step-by-step explanation:
Consider the provided information.
The mean is $31129
Thus, the null hypothesis 
Alternative hypothesis 
A random sample of 15 firstyear CMAs in Denver produces a mean salary of $32,279, with a standard deviation of $1,797.
Thus the value mean of sample is 32279, standard deviation is 1797 and number of samples are 15.
Now use the 2 sided t-test.
Now substitute the respective values in the above formula.
Test Value = 2.4785 approximately
Now, find the corresponding p-value in your t-table with DF(degree of freedom) 14.
p = 0.0265
as the value of p < 0.05, so you reject null hypothesis.
Thus, the Mean is not equal to $31,129.
