The value of x is 4 if the AG =2x +10 and CF =5x-2 which are opposite sides of a parallelogram option (d) is correct.
In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
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We have given the side measure of a parallelogram:
AG =2x +10 and CF =5x-2
As we know in the parallelogram the opposite sides are equal in measure.
AG = CF
2x + 10 = 5x - 2
3x = 12
x = 4
CF = 5x - 2 = 5(4) - 2 = 20 - 2 = 18
Thus, the value of x is 4 and value of CF is 18if the AG =2x +10 and CF =5x-2 which are opposite sides of a parallelogram.
Learn more about the parallelogram here:
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