In which choice is the digit 1 worth ten thousand times as much as the digit 1 in the number 5,614?

the one digit must be in the hundred thousand place.

step-by-step explanation:

the one is in the tens place so in order to make it worth ten thousand times its value, you would need to add four zeros behind the one.

example: 56,140,000

multiply the current value of one to the desired value:

10*10,000 = 100,000

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.