The local movie theater decided to raise the ticket prices 75% . The original ticket prices were $12 . Set up the percent equation to find the amount by which the ticket prices rose. Then find the amount.

New price = Initial price(1.75) ;

$21

Explanation:

Given that:

Original price = $12

Percentage increase = 75%

The percent equation :

Initial percentage = 100%

Proposed % increase = 75%

New price = initial price(100% + 75%)

New price = Initial price(1 + 0.75)

New price = Initial price(1.75)

The New price is thus ;

$12 * 1.75 = $21

if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11