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Given: ABCD is a parallelogram.
Prove: AB = CD and BC = DA
Angles Segments
Triangles Statements Reasons
ASA
СРСта
given
reflexive property
Statements
3. ZDUN ATU ZUNU
are alt. interior angles
✓ 6. ZDCA and ZBAC
are alt, interior angles
7. ZBCA = ZDAC
8. ZDCA = ZBAC
9. ACAC
10. AABC = ACDA
11. AB - CD
Reasons
1. given
2. def. of parallelogram
3. def. of parallelogram
4. unique line postulate
5. def. of alt. interior angles
6. def. of alt. interior angles
Correct! Assemble the next
statement.
7 alternate interior anales theorem

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?