In the formula d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot, how does each subtraction expression relate to the Pythagorean theorem? Each subtraction expression represents the length of one leg of a right triangle with a hypotenuse of length d. Each subtraction expression represents the length of the hypotenuse of a right triangle with a leg of length d. Each subtraction expression represents half the length of the hypotenuse of a right triangle with a hypotenuse of length d. Each subtraction expression represents the square of the length of the hypotenuse of a right triangle with a hypotenuse of length d.

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?