4. if each number in a sequence of five
consecutive odd integers is divided by
5, then which of the following sets
could be the sequence of
corresponding remainders?
(a) 4,1,3,2,4
(b) 0,2,1,3,0
c 3,0,2,4,1
d) 3,0,2,4,3
(e) 2,4, 1,0,2

step-by-step explanation:

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.

cluster sampling.

step-by-step explanation: