A. How many non-degenerate scalene triangles with integer sides have a perimeter of 27?

b. A square is inscribed in an equilateral triangle of side length 2 so that

two adjacent corners of the square lie on two sides of the triangle, and

the third side of the triangle contains one side of the square. The area of

the region inside the triangle and outside the square can be expressed as

a√b − c. What is a + b + c?

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?

Ade and abc are similar. which best explains why the slope of the line between points a and d is the same as the slope between points a and b?