Valarie used a laser to measure the average thickness of a human hair which is 0.0032 meters thick. A grain of sand is 0.0024 meters thick. How do the two thicknesses compare?

If a || b and b | y, then ? a) x || y. b) x | a. c) a | y. d) a || y.

Thales was an ancient philosopher familiar with similar triangles. one story about him says that he found the height of a pyramid by measuring its shadow and his own shadow at the same time. if the person is 5-ft tall, what is the height of the pyramid in the drawing?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.