Which geometric figure has 120 rotational symmetry? A. rhombus
B. regular pentagon
C. square
D. equilateral triangle

A figure that has 120 rotational symmetry will look exactly the same after the figure is rotated by 120 degrees. An equilateral triangle has 120 rotational symmetry.

When a rhombus, a regular pentagon or a square is rotated by 120 degrees, the resulting shapes do not have the same layout as the initial shape.

However, an equilateral triangle will look the same when rotated by 120 degrees.

I've added an attachment that illustrates the rotation by 120 degrees of an equilateral triangle.

From the attached figures, you can see that points ABC on figure 1 and are changed on figure 2 ; however, both triangles maintain the same layout.

Hence, an equilateral triangle has 120 degrees rotational symmetry

Learn more about rotational symmetry at:

link

D

Step-by-step explanation:

An equilateral triangle, and all regular polygons with 3n sides, thus D.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.