Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who completed the proof incorrectly? Explain.

Becky, because her reason I'm step 2 does not justify her 2ndbstatement.

Step-by-step explanation:

Two angles which add up to give 180° are said to be defined as supplementary angles.

The Definition of Supplementary Angles is the most appropriate statement to justify the second statement in the proof, as written by Angie, compared to the Angle Addition Postulate stated by Becky.

The Angle Addition Postulate does not justify why the two of angles both equal 180°. According to the Angle Anldditiin Postulate, sum of 2 angles that share the same side can does not necessarily have to be 180°. It could be less than or greater than 180°.

Therefore, Becky completed her proof incorrectly.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.