The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes
In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.
∴ The number of handshakes = 
∴ The number of handshakes = 153 handshakes
Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.
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a gradient of a line that is parallel and perpendicular to this line with this gradient of -2
Gradient is the slope
So slope of the line =-2
Slope of parallel line is equal to the slope of the line
So slope of parallel line = -2
Slope of perpendicular line is equal to negative reciprocal of slope of the line
We know slope of line = -2
Negative reciprocal = 
So , Slope of perpendicular line=
Answer:
Negative with little correlation
It has negative slope if you imagine a line
500×12%
(500×12)÷100
6000÷100
=60
so,
500+60=560
Answer:
1) 
, 2) The value of 
is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
Step-by-step explanation:
Let be a rectangle with a length of 
feet and a width of 3 feet. The area (
), measured in square feet, and perimeter (
), measured in feet, formulas are, respectively:
(Eq. 1)
(Eq. 2)
1) Now, we assume that 
, then we reduce the system of linear equation into a sole linear equation:
(Eq. 3)
2) We proceed to solve for :
The value of is 3.
3) Lastly, we obtain the values of the perimeter and area:
The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.
