What is the proof for the vertical angle theorem?

Find the value of x for which line a is parallel to line b

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Reinel saves 30% of every pay check. his paycheck last week was 560$. how much did reniel save last week?