What are the missing parts that correctly complete the proof ?

given : point p is on the bisector of ∠abc.

prove: point p is equidistant from the sides of ∠abc.

drag the answers into the boxes to correctly complete the proof .

1. bp is the bisector of ∠abc reason given

2. ∠abp ≅ ∠cbp reason

3. ∠bxp and ∠by p are right angles reason given

4. all right angles are congruent

5. bp ≅ bp reason

6. δ bxp ≅ δ by p reason

7. reason corresponding parts of congruent triangles are congruent.

8. point p is equidistant from the sides of ∠abc reason definition of equidistant

answers to fill in

definition of perpendicular

reflexive property of congruence

transitive property of congruence

aas congruence postulate

asa congruent postulate

px ≅py

∠bxp ≅ ∠by p

definition of bisector

What other information do you need to prove triangle dac=bca by asa

Which number line correctly shows 0.8 + 0.3?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?