Calculate the area of the polygons in the picture. All measurements are in cm.

Why is there a b) in the middle of the polygon?  Question creators, proofread your figures.

a) Two triangles and a kite

Top triangle (1/2)(5.53)(1.5)

Bottom triangle (1/2)(6)(2)

The kite is like two triangles with shared base 2+3=5 and combined height 7,

(1/2)(5)(7)

Adding it up,

area = (1/2)(5.53)(1.5) +  (1/2)(6)(2) + (1/2)(5)(7) = 27.6475

27.6475  sq cm

b) Three triangles, including one right triangle

Area = (1/2) (6.7)(3) + (1/2)(6.2)(2.5) + 1/2(6.2)(2) = 24.

24 sq cm

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is a.

135 and 80

step-by-step explanation: