When using the given diagram to determine the area of the pentagon by decomposition, which statements are correct?: Answer choices:
(A) Area of ∆ABC = 84 in²
(B) Area of ∆ABC = 42 in²
(C) Area of trapezoid = 1/2(14 ÷ 10)8
(D) The area of the pentagon is 180 in²
(E) The area of the pentagon is 138 in²
APPLY TO ALL THAT IS TRUE

Options (B) and (E)

Step-by-step explanation:

Area of ΔABC =

                        =

                        = 42 in²

Area of trapezoid ADEC =

[Here, and are the parallel sides and 'h' is the height of the isosceles trapezoid given]

=

= 96 in²

Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC

                                    = 42 + 96

                                    = 138 in²

Therefore, Options (B) and (E) are the correct options.

it has the same slope and a different y-intercept

hope this : )