The ratio of nonfiction books to total books on Caleb's bookshelf is 7:10. What does this mean? A:Caleb has seven nonfiction books and 10 fiction books on his bookshelf.
B:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
C:On his bookshelf Caleb has exactly 10 books total, seven of which are nonfiction.
D:Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.

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Step-by-step explanation:

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D, Out of every 10 books total on Caleb's bookshelf, 7 are nonfiction.

Step-by-step explanation:

When we are dealing with ratios it is common to hear phrases such as "for every". In this circumstance for every 10 books Caleb has on his bookshelf, 7 of them are always nonfiction. This can also be used if we want to expand the ratio, for example, 14:20. The ratio would still be equivalent to 7:10 because each factor increased at the same rate.

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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'.