For triangle ABC, angle A = x + 30, angle B =2 x - 4, and angle C =4x. If triangle ABC undergoes a dilation by a scale factor of 1/2 to create triangle A'B'C with angle A =2x + 8 , angle B = x + 18, and angle C = 5 x - 22 , which confirms that triangle ABC and triangle A'B'C by the AA criterion

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Step-by-step explanation:

Volume A = Volume B ⇒ last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The volume of any prism = The area of the cross section × its length

- Prism A is a rectangular prism

∴ Its cross section is a rectangle with dimensions 6 units and 4 units

∵ The area of the rectangle = length × width

∴ The area of the cross section = 6 × 4 = 24 units²

∵ Its volume = The area of the cross section × its length

∵ Its length = 7.22 units

∴ Its volume = 24 × 7.22 = 173.28 units³

- Prism B is a triangular prism

∴ Its cross section is a right triangle with base 8 units and height

 6 units

∵ The area of the triangle = 1/2 × base × height

∴ The area of the cross section = 1/2 × 8 × 6 = 24 units²

∵ The its volume = The area of the cross section × its length

∵ Its length = 7.22 units

∴ Its volume = 24 × 7.22 = 173.28 units³

- The volume of the rectangular prism equals the volume of the

 triangular prism

∴ Volume A = Volume B