Item 6 Find the value of $p$ .

A triangle is drawn. One leg is labeled 12, one leg is labeled 24, and one leg is labeled 21. A segment is drawn from the vertex between the side labeled 12 and the side labeled 24 to the side labeled 21, splitting it into 2 segments, the longer of which is labeled p and is adjacent to the side labeled 24. The two angles formed at the vertex split by the line to the third side are marked as congruent.

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset