In the diagram below o is circumscribed about quadrilateral defg. what is the value of x

Option D

68 degrees is the answer.

Step-by-step explanation:

In the picture there is a quadrilateral DEFG and a circle circumscribing the quadrilateral.

In other words, DEFG is a cyclic quadrilateral.

We know that in cyclic quadrilateral, opposite angles are supplementary.

Hence in the given quadrilateral, Angles D and F are supplementary and also the pair E and G are supplementary.

Angle G is x and we have to find x.

Sum of angles G and E = 180  degrees (since they are supplementary)

Angle E = 112 degrees (given)

Hence angle G = x = 180-112 = 68 degrees.

answer: x=60

363 square inches

step-by-step explanation:

surface area of a pyramid is b + 1/2ph

b is the area of the base: 11 x 11 = 121

p is the perimeter of the base: 11 + 11 + 11 + 11 = 44

h is the height of the pyramid: 11

121 + 1/2(44)(11)

121 + 242

363