12 is the length of one side of cube.
What is cube?
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices
According to question, the volume of a cube is 1728 cubic units.
We have to find the length of the cube.
Volume= cubic units
⇒
⇒
Hence, is the length of one side of cube.
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If we graph the x - y values in a scatter plot and draw a line of best fit, we can easily see the solution.
Negative correlation means y decreases as x increases, or a negative sloping line.
Attached is the graphs of all the 4 choices. Clearly, the 4th table shows negative correlation.
ANSWER: Last table (4th table) shows negative correlation
The table that shows negative correlation is the fourth table.
Correlation is used in statistics to determine the relationship that exists between two variables.
Negative correlation means there is no relationship between the variables. When plotted on a graph, a negative correlation would be downward sloping. Looking at the tables, when plotted, only the fourth table would be downward sloping.
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Two similar triangles are never congruent. Similar triangles have the same shape, but their sizes may differ. They have corresponding angles that are equal and corresponding sides that are proportional to each other.
However, being similar does not guarantee that they are congruent.
Congruent triangles, on the other hand, have both the same shape and size. Their corresponding angles and sides are equal in length. Congruent triangles are essentially identical to each other.
In summary, similarity implies the same shape but different sizes, while congruence implies both the same shape and size. Therefore, two similar triangles are never congruent.
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congruency means, exact twins, completely exact.
similarity means, they must look the same only, one can be larger or smaller than the other, the angles must be the same, but the lengths can be longer or shorter and that's ok.
if two figures are congruent, they are also similar, but if one is larger than the other, they're still similar, though not congruent anymore.