Earlier in this course, you explored Euclidean geometry, which is the study of flat space. This approach follows the teachings of Euclid, in which he describes the
relationships between points, lines, and planes without any numerical measurement.
You saw evidence of Euclidean geometry inside several proofs and geometric
constructions
In contrast, the focus of this unit is understanding geometry using positions of points
in a Cartesian coordinate system. The study of the relationship between algebra and
geometry was pioneered by the French mathematician and philosopher René
Descartes. In fact, the Cartesian coordinate system is named after him. The study of
geometry that uses coordinates in this manner is called analytical geometry.
It's clear that this course teaches a combination of analytical and Euclidean
geometry. Based on your experiences so far, which approach to geometry do you
prefer? Why? Which approach is easier to extend beyond two dimensions? What are
some situations in which one approach to geometry would prove more beneficial than
the other? Describe the situation and why you think analytical or Euclidean geometry
is more applicable.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

answer: 193

explanation:

200-7 = 193

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.