Abedroom is shaped like a pentagon. a designer wants to put a triangular bookshelf in the corner marked on the diagram. the sum of the interior angles of a pentagon is 540°540°. which statement is correct?

a. the bookshelf angle is too small because the corner is more than 110°110°.

b. the bookshelf angle is too large because the corner is less than 110°110°.

c. it cannot be determined if the bookshelf will fit in the corner.

d. the bookshelf will fit exactly because the corner is 110°110°.

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.

a king of hearts and a 2 of spades

option a is correct.

only one solution to the system of equations

step-by-step explanation:

if the graph of the equations do not intersects(i.,e if they are parallel) then, there are no solutions that are true for both the equations.

if the graph of the equations intersects, then there is one solution and that is true for both the equations.

since, in the given figure:

the two lines intersect each other

⇒there is only one solution which satisfy both the lines of an equations.

therefore, there is only one solution to the system of equation