In the following diagram, a || b.

use complete sentences to explain how the special angles created by the intersection of a and b by d can be used to solve for x.
solve for x, showing all of your work.
find the measure of ∠6.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c