Help please!! what is the volume of this composite solid

Step-by-step explanation:

Given composite figure is made up of two solids.

Top part is a triangular prism and the bottom is a rectangular prism.

Volume of the composite solid = Volume of the triangular prism + Volume of the rectangular prism

Volume of the triangular prism = Area of the triangular base × Height of the prism

                                                    =

                                                    =

                                                    = 120 square m

Volume of the rectangular prism = Length × Width × Height

                                                       = 6 × 10 × 6

                                                       = 360 m²

Total volume of the composite solid = 120 + 360 = 480 m²

Option A is the answer.

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simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .