If you transform a line segment with a sequence of reflections, rotations, or translations, is it still a line segment?

Yes

Step-by-step explanation:

Transformation of a two-dimensional shape or pre-image or polygon in mathematics is the manipulation of the two-dimensional object or pre-image or polygon within a system of coordinates or plane.

Transformations are a guide to the nature of the pre-image and image of two dimensional shape as it is translated within a system of coordinates

Rigid transformations are those that does not involve a change in the size of the pre-image, and includes reflections, rotations, and translations

Therefore, the line undergoes rigid transformation and the dimensions of the line is preserved making it still a line segment.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

hiking down a winding trail.

step-by-step explanation: