Δabc was dilated from the origin by a scale factor of 2 to create δa′b′c′. which statement explains why the triangles are similar?
dilations preserve side length; therefore, the corresponding sides of δabc and δa′b′c′ are congruent.
dilations preserve betweenness of points; therefore, the corresponding sides of δabc and δa′b′c′ are congruent.
dilations preserve orientation; therefore, the corresponding angles of δabc and δa′b′c′ are congruent.
dilations preserve angle measure; therefore the corresponding angles of δabc and δa′b′c′ are congruent.

step-by-step explanation:

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no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.

he is going to fill two shelves and the third shelf will only have five video games

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex