the lengths [in inches] of two sides of a regular pentagon are represented by the expression 5x-27 and 2x-6 . fined the length of a sied of the pentagon.
A regular pentagon has all sides of equal length, thus we set up
5x-27=2x-6
Solve for x and substitute in 5x-27 to find one side.
IF a quadrilateral EPIC is a rectangle what are the slopes of the other 3 segments?
To find the length of a side of the pentagon, we need to set the expressions for the two sides equal to each other and solve for x.
Given that the lengths of the two sides are 5x - 27 inches and 2x - 6 inches, we can set up the equation:
5x - 27 = 2x - 6
Next, we will solve for x:
5x - 2x = -6 + 27
3x = 21
x = 7
Now that we have found the value of x, we can substitute it back into either of the original expressions to find the length of a side of the pentagon.
Let's use the expression 5x - 27:
side length = 5(7) - 27
side length = 35 - 27
side length = 8
Therefore, the length of a side of the pentagon is 8 inches.