(02.06)in the figure below, lines m and n are parallel:

two parallel lines are shown crossed by a transversal. the angles are labeled with number 1-8. the angles on line m where the line is crossed by the transversal are 1, 2, 3, and 4 in clockwise order from top left. the angles on line n where the line is crossed by the transversal are 5, 6, 7, and 8 in clockwise order from top left.

in the diagram shown, ∠2 measures 77 degrees. what is the measure of ∠4?

5 degrees
77 degrees
103 degrees
180 degrees

"77 degrees"

Step-by-step explanation:

If you read the questions carefully, you will see that ∠2 and ∠4 are opposite angles to each other, or vertical angles.

We know that vertical angles are EQUAL to each other.

Hence,

∠4 = ∠2  [which is 77]

So, ∠4 = 77°

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,