In quadrilateral ABCD, the diagonals intersect at point T. Thomas has used the Alternate Interior Angles Theorem to show that angle ADB is congruent to angle DBC and that angle DBA is congruent to angle BDC. Which of the following can Thomas use to prove that side AB is equal to side DC?

AC ≅ AC
AC ≅ DB
TA ≅ TC
DB ≅ DB

Jordan has $5.37, which he is using to buy ingredients to make salsa. he is buying one red pepper for $1.29 and three pounds of tomatoes. if jordan has exactly the right amount of money he needs, what is the price per pound of the tomatoes? choose the correct equation to represent this real-world problem. solve the equation and verify the reasonableness of your answer. a pound of tomatoes costs .

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74