The unshaded trapezoid is the image of the shaded trapezoid after a series of transformations.
what is the value of x?
a.)3
b.) 9
c.) 12
d.) 18

C

Step-by-step explanation:

To form unshaded trapezoid, you have to dilate the shaded trapezoid with the scale factor of 2 and the center of dilation at point (-5,1) and then translate the formed trapezoid 5 units to the right.

The translatin is the rigid tranformation that doesn't change the lengths of trapezoid's sides.

The dilation with scale factor 2 increases each length twice.

If the leg of trapezoid was 6 units long, then the length of the unshaded trapezoid's leg is 12 units.