The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 5 and 12 inches; the second-smallest triangle has a hypotenuse of length one and one half feet.

Which of the following responses comes closest to the area of the largest triangle?

Fill in the box to form a perfect square trinomial:

Two lines have -intercept . Line A has -intercept ; Line B has -intercept . Which is the greater quantity?

(A) The slope of Line A

(B) The slope of Line B

and are right triangles, with right angles , respectively.

Which is the greater quantity?

(a) The perimeter of

(b) The perimeter of

The sum of the lengths of three sides of a regular pentagon is one foot. Give the perimeter of the pentagon in inches.

The perimeter of a square is one yard. Which is the greater quantity?

(a) The area of the square

(b) square foot

Define set . How could we define set so that ?

A company makes toy boats. Their monthly fixed costs are $1500. The variable costs are $50 per boat. They sell boats for $75 a piece. How many boats must be sold each month to break even?

Which is the greater quantity?

(a) The number of factors of 169

(b) The number of factors of 121

In the above Venn diagram, the universal set is defined as . Each of the eight letters is placed in its correct region.

What is ?