A proof of the Alternate Interior Angles Theorem, using parallel lines a and b with transversal m, is shown below. Given: alb
m is the transversal.
Prove: 23 25
12
43
5 6
8 7
Proof:
Statements
Reasons
1. Lines a and bare parallel with 1. Given
transversalm
2. 21 - 25
2. Corresponding Angles Postulate
3.23* 21
3. Vertical Angles Theorem
4.23 - 25
Which property is used in step 4?
reflexive property
transitive property
associative property
commutative property

Which description is represented by a discrete graph? kiley bought a platter for $19 and several matching bowls that were $8 each. what is the total cost before tax? the temperature at 9 a.m. was 83° f and is heating up at an average rate of 6°f per hour. what is the temperature x hours later? juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. what is the total amount of calories he consumed? a bottle contained 2,000 ml of liquid and is being poured out at an average rate of 300 ml per second. how much liquid is left in the bottle after x seconds?