Use the information and image given above to complete the proof. To complete the reasons, ETC.
Statements
Reasons
Given
1. ABDC is a parallelogram.
2. AB || CD and AC || BD
3. Draw the transversal CB.
Definition of a parallelogram
Through any two points, there exists exact
Reflexive property of congruence
4. CB
5. ZABC &
and ZACB = 2DBC Alternate interior angles theorem
6. AACB ADBC
congruence
7. AB = DC and AC = DB

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?

Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore, the inverse is a hinction compare your response to the sample response above. what did you include in your explanation? a reference to the horizontal-line test d a statement that the function is one-to-one the conclusion that the inverse is a function done

Evaluate this using ! 0.25^2 x 2.4 + 0.25 x 2.4^2 − 0.25 x 2.4 x 0.65