Agroup of 12 businessmen gather together for a meeting. at the beginning of the meeting, the businessmen all shake each other's hands. how many total handshakes occur?

Nine more than four times a number is the same as one less than twice the number. find the number?

The graph of y x3 is translated so that the point (1. 1) is moved to (1, 4). what is the equation of the new graph?

The triangle shown has a hypotenuse with a length of 13 feet. the measure of angle a is 20 degrees. and the measure of angle b is 70 degrees. which of the following is closest to the length, in feet, of line segment ac? no need to use a calculator to find the trig numbers. each function is listed below. 4.4 5 12.2 35.7