Problem Set 1. Find each rate and unit rate.
a
420 miles in 7 hours
b. 360 customers in 30 days
C 40 meters in 16 seconds
d. $7.96 for 5 pounds
the dien.

Given: lines l and m are parallel, and line t is a transversal.

angle pair result/justification

1 and 2 are equal (vertical angles)

6 and 8 are equal (corresponding angles)

1 and 4 are equal (alternate exterior angles)

4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)

Note:

alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.

If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)

If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)