Ireally really need with proving this using a two column proof:

given: line ac bisects angle bcd
given: angle abc is congruent to angle adc

prove: line ab is congruent to line ad

i've been trying to figure this out for so long but i seriously can't seem to figure out how to prove the two lines are congruent.

Which inequality has a dashed boundary line when graphed ?

Match the vocabulary to the proper definition. in probability, two events in which 1. conditional probability the outcome of one event is independent of the outcome of a second event. 2. dependent events in probability, two events in which the outcome of one event is dependent on the outcome of a second event. the probability of an event in which the outcome of the event is conditional on the outcome of one or more different events. 3. independent events

How many four digit even numbers can be formed from digits 1,2,3,4,5 if repetition is allowed. how can solve this using permutation formula