Phil is riding his bike. he rides 27 miles in 2 hours, 40.5 miles in 3 hours, and 54 miles in 4 hours. find the constant of proportionality and write an equation to describe the situation. let x represent the number of hours.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

What value of x will make the triangles similar by the sss similarity theorem?

Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5?