Examine the paragraph proof. Which theorem does it offer proof for?

lines WZ and XY intersect at point V

Prove: ∠XVZ ≅ ∠WVY

We are given an image of line WZ and line XY, which intersect at point V. m∠XVZ + m∠ZVY = 180° by the Definition of Supplementary Angles. m∠ZVY + m∠WVY = 180° by the Definition of Supplementary Angles. Since the sum of m∠XVZ + m∠ZVY = m∠ZVY + m∠WVY by the Transitive Property of Equality, m∠ZVY can be subtracted from both sides of the equation because of the Subtraction Property of Equality. Therefore, m∠XVZ = m∠WVY and ∠XVZ ≅ ∠WVY by the definition of congruent angles.

Alternate Interior Angles Theorem
Corresponding Angles Theorem
Vertical Angles Theorem
Same-Side Interior Angles Theorem

Jacksonian democracy promoted new methods of political campaigning. one such technique was mudslinging. what was its effect on the presidential candidates?

During the early neolithic era, people relied on domesticated animals to provide each of the following except a. hides for clothes b. labor to pull plows c. manure for the soil d. meat, cheese, and milk for food

Javier is considering two options for college. option a: complete the first two years of schooling at a community college and then transfer to a university. option b: complete all four years of schooling at the university. community college financial analysis costs per year financial aid package per year tuition & fees scholarships & grants $3,000 $1,000 room & board $1,000 university financial analysis costs per year financial aid package per year tuition & fees scholarships & grants $10,000 $15,000 room & board work-study $11,500 $4,000 which statement about the cost of the options is true? option b will save him $1,000. option b will save him $2,000. option a will save him $14,000. option a will save him $17,500.