X and y are the times in hours that he travelled on foot and on bus
x + y = 1.5 * by 5:-
5x + 5y = 7.5
5x + 60y = 35 subtract:-
55y = 27.5
y = 0.5
and x = 1.5 - 0.5 = 1
so he walked for 1 hour
distance he walked = average speed * time = 5*1 = 5 miles.
Answer:
A. The center of dilation is point C.
B. It is a reduction.
E. The scale factor is 2/5.
Step-by-step explanation:
The center is shown as C. You can see this from the line segments they drew through C, the image, and the pre-image.
The pre-image is the image before the dialation. The pre-image here is XYZ.
The image is the image after dialation. The image is X'Y'Z'.
If you look at the pre-image XYZ and then it's image X'Y'Z', ask yourself the image get smaller or larger. To me I see a larger triangle being reduce to a smaller triangle so this is a reduction.
The scale factor cannot be bigger than 1 because the image shrunk so D is definitely not a possibility.
E. is a possibility but let's actually find the scale factor to see.
We can calculate
or
or
to find out what the scale factor is.
![\frac{CX'}{CX}=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BCX%27%7D%7BCX%7D%3D%5Cfrac%7B2%7D%7B5%7D)
.
The scale factor is 2/5.
Answer: The new coordinates are A(0, 0) B(-4, -2) C(0, -5)
Step-by-step explanation: The formula for 90 degrees counter-clockwise is (x, y) to (-y, x)
The area of the triangle should be 0.92.
The answer is A, it being squared.