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an artichet's drawing has a scale of 2in: 5ft. the living room in his drawing is 10.5 inches long and 4.5 inches wide.
1. find the real-world dimensions of the room using the scale.
2. calculate the difference in area between the drawing and the real size of the living room.
show your work.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

parallelogram is the   answer

as given ,→planes t and x are parallel.

→plane t contains line a.

→plane x contains line b.

as we know by definition of line , if we take any two points on a plane the line should completely lie on it i. pass through these two points.

out of the four options given it seems that two possibilities might be true.

1. they may be skew lines , so they will never intersect.

2.if lines a and b are parallel, so again they will not intersect.

other two seems incorrect

because if a and b are perpendicular to the plane ,

1. either they will join each other to form a unique line or2. they will never intersect.

there is no possibility that they will intersect at two points.