单选题 A circle of radius 1 is tangent to a circle of radius 2. The sides of \( \triangle ABC \) are tangent to the circles as shown, and the sides \( \overline{AB} \) and \( \overline{AC} \) are congruent. What is the area of \( \triangle ABC \)? (缺图)

单选题 Sandwiches at Joe's Fast Food cost $$3 each and sodas cost $$2 each. How many dollars will it cost to purchase 5 sandwiches and 8 sodas?

单选题 Doug and Dave shared a pizza with 8 equally - sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half of the pizza. The cost of a plain pizza was 8 dollars, and there was an additional cost of 2 dollars for putting anchovies on one half. Dave ate all of the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each then paid for what he had eaten. How many more dollars did Dave pay than Doug?

单选题 Define $$ x \otimes y = x^3 - y $$. What is $$ h \otimes (h \otimes h) $$?

单选题 The ratio of Mary's age to Alice's age is 3:5. Alice is 30 years old. How many years old is Mary?

单选题 What non - zero real value for $$ x $$ satisfies $$ (7x)^{14}=(14x)^7 $$?

单选题 The 8×18 rectangle ABCD is cut into two congruent hexagons, as shown, in such a way that the two hexagons can be repositioned without overlap to form a square. What is $$ y $$? (缺图)

单选题 A parabola with equation $$ y = x^2 + bx + c $$ passes through the points (2, 3) and (4, 3). What is $$ c $$?

单选题 A digital watch displays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?