Best answer gets to be !

use a net to find the surface area of the prism.

a. 315 in.2

b. 784 in.2

c. 469 in.2

d. 539 in.2

  C. 469 in²

Step-by-step explanation:

The net of the object is a rectangle that is 28 inches long and 14 inches wide. Its area is 392 square inches.

In addition, there are two triangles with base 11 inches and height 7 inches. Together, they have the area of a rectangle 7 by 11, or 77 square inches.

The total surface area of the prism is then ...

  (392 + 77) in² = 469 in²

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The area of a rectangle is the product of its length and width.

The area of a triangle is half the product of its base and height. So, the area of two identical triangles is the product of their base and height.

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Comment on the geometry

This geometry cannot exist as shown. The height of the triangular face is closer to 6.454 inches than to 7 inches.

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180