Given: x ∥ y w is a transversal of x and y. Prove: ∠4 ≅ ∠5 Parallel lines x and y are cut by transversal w. On line x where it intersects line w, 4 angles are created. Labeled clockwise, from the uppercase left: angle 2, angle 1, angle 3, angle 4. On line y where it intersects line w, 4 angles are created. Labeled clockwise, from uppercase left: angle 6, angle 5, angle 8, angle 7. A 2-column table with 5 rows. Column 1 is labeled statements with the entries x is parallel to y, w is a transversal, angle 4 is congruent to angle 1, angle 1 is congruent to angle 5, angle 4 is congruent to angle 5. Column 2 is labeled reasons with the entries given, given, A, B, C. Complete the two-column proof. A B C

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Im literally having a mental breakdown

Which statement is true about a number and its additive inverse? a. their product is always one. b. their sum is always one. c. they are always reciprocals of each other. d. their sum is always zero.