Thanks for the solutions. I have some other questions, do you mind posting the solutions?

**Problem 6**. A triangle has vertices with coordinates A(0, 15), B(0, 0), and C(10, 0). Find

the coordinates of point D on AC so that the area of triangle ABD is equal to the area of

triangle DBC. (Mathcounts Competitions).(page 147 book 3)

Answer:D (5, 7.5)

**Problem 30.** The coordinates of one of the endpoints of a diagonal of a rectangle are (–4,2),

and the coordinates of the point of intersection of the diagonals are (1, –1). The sides

of the rectangle are parallel to the axes. What is the number of square units in the area of

the rectangle? (Mathcounts Competitions).

Amswer:60

(1). In the xy- plane, how many lines whose x-intercept is a positive prime number and

whose y-intercept is a positive integer pass through the point (4, 3)? (1994 AMC 12).

Answer: 2.(page 159 book 3)

Thank you.