Jack popped some popcorn, but 333 of the 150150150 kernels did not pop. Determine whether or not each popcorn snack below has the same ratio of unpopped to total kernels as Jack's popcorn. Same ratio of unpopped to total kernels as Jack's popcorn Different ratio of unpopped to total kernels from Jack's popcorn 222 unpopped out of 757575 kernels 444 unpopped out of 200200200 kernels 111 unpopped out of 505050 kernels

the answer is b.)

< 1=< 2

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.