Regular pentagon EFGHI with center K is shown. H
E
F
Select all the transformations that carry pentagon EFGHI onto itself.
a reflection across line EK, a 180° counterclockwise rotation about point K, and a reflection across a vertical line
through point K
a 90° counterclockwise rotation about point E, a reflection across line FG, and a vertical translation
a reflection across line FI, a reflection across line GH, and a 180° clockwise rotation about point K
a reflection across a vertical line through point K, a 180° clockwise rotation about point K, and a reflection across
line EK
a 180° clockwise rotation about point E, a reflection across a vertical line through point E, and a reflection across
a horizontal line through point E

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?