Monica found the volume of the prism below using the expression . What errors did Monica make? Check all that apply.

She should have counted only 2 unit cubes instead of 4.

She should have counted 8 one-third cubes instead of only 4.

She should have found the total value of the one-third cubes by multiplying by instead of by .

Each fractional cube is worth instead of the that she used.

She cannot stack more than one layer of fractional cubes in a prism.

pi x^2

step-by-step explanation:

pi times x squared

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.