Ralph's flower garden has two sections as shown in the picture. which expression uses the distributive property to find the total area of ralph's flower garden?

12 × (6 + 3 )

note that the area of the figure = 12 × 9 = 108 ( length × width )

and 9 = (6 + 3 ) ← the width

replacing 9 by (6 + 3) area = 12(6 + 3) = 72 + 36 = 108 ( distributing )

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this