Advanced For ΔJNM, the following facts are given:
KL || MN
KL = 8 ft
MN = 10 ft
JL = 3.2 ft
MK = 1.5 ft

Answer the following:
Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem.
Find the length of JN. Show all your work.
Find the length of JK. Show all your work.
What is the area ratio of ΔJNM to ΔJLK? Show all your work.

Is δ pmr similar to δ smn ? if so, which postulate or theorem proves these two triangles are similar?

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?

An episode of a television show is 60 minutes long when it originally airs with commercials. on a dvd without commercials, the episode is only 417 minutes long. how many1-minute commercials did the episode include when it originally aired? write and solve an equation to justify your answer.