Question 4 (Essay Worth 10 points) (04.03 MC)
Find the area of the following shape. You must show all work to receive credit.

12 sq. units

Step-by-step explanation:

Because this is an irregular polygon, we can break the figure into simpler shapes and add the areas together.  

For the left triangle, use the formula (b × h)

(2 × 2)

(4) = 2 sq. units

For the top triangle:

(4 × 2)

(8) = 4 sq. units

For the middle rectangle, use the formula b × h

(3 × 2) = 6 sq. units

Now add together all the areas.

2 qu. units + 4 sq. units + 6 sq. units = 12 sq. units

Hope this helps~!

(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