Which pairs of triangles are similar? Check all that apply. -△ABC ~ △DEF
-△DEF ~ △GHI
-△GHI ~ △ABC
-△GHI ~ △JKL
-△JKL ~ △ABC

The pair of triangles that are similar are △DEF ~ △GHI and △JKL ~ △ABC

Given:

△ABC

length = 20

Base = 14

length / base = 20/14

= 10/7

△DEF

length = 10

Base = 8

length / base = 10/8

= 5/4

△GHI

length = 12

Base = 15

length / base = 15/12

= 5/4

△JKL

length = 10

Base = 7

length / base = 10/7

Therefore, the pair of triangles that are similar are △DEF ~ △GHI and △JKL ~ △ABC

Learn more about triangles:

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let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation:

x^3-4x^2+3x-2/x^2+1

step-by-step explanation:

factor the numerator and denominator and cancel the common factors