What is the area of the hexagon? (see image attached below)

57.12cm²

Step-by-step explanation:

From the attached picture, you will notice that you can fill in the 4 corners of the hexagon with 4 triangles (i.e shaded areas) to form a rectangle.

Area of each shaded corner (triangle) = x 4 x 2.14 = 4.28 cm²

Area of 4 shaded corners = 4 x 4.28 = 17.12cm²

Area of rectangle = 9.28 x 8 = 74.24 cm²

Area of hexagon

= Area of rectangle - Area of 4 shaded corners

= 74.24 - 17.12

= 57.12cm²

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°