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The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.

Answer:

B

Step-by-step explanation:

If two quantities have a direct variation, their graph will originate from the point of intersection at the origin.

Among all graphs, only Nikiya's intersects the origin, thus the answer is B.

Response:

Step-by-step explanation:

We need to form an equation that illustrates the area that Felicia has covered, denoted as y, in relation to the number of tiles she utilized, represented by x.

Let x= Number of tiles

y=Area occupied by Felicia's tiles

The relationship between x and y is constant. Hence, it follows a direct proportion.

The equation for direct proportion is shown as

Where

k=The value of the ratio of x and y

x and y are variable factors

Here, we have k=9

Substituting the known values into the equation

leads us to

This represents the necessary equation depicting the area Felicia covered, y, in terms of the number of tiles utilized, x.