Match the term with the definition.
corresponding angles a) these corresponding parts are congruent, given two similar triangles
scale factor b) figures that have congruent angles and corresponding sides that are proportional to one another
proportional c) the constant by which a figure (or the dimensions of a figure) increases or decreases
similar polygons d) a depiction of a real object with accurate sizes except they have all been reduced or enlarged
scale drawing e) corresponding sides of two similar triangles

corresponding angles  

A) these corresponding parts are congruent, given two similar triangles

scale factor

C) the constant by which a figure (or the dimensions of a figure) increases or decreases

proportional

E) corresponding sides of two similar triangles

similar polygons

B) figures that have congruent angles and corresponding sides that are proportional to one another

scale drawing

D) a depiction of a real object with accurate sizes except they have all been reduced or enlarged

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)