6. let a 3(-6,-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6} and define the relation r as: m r n # 3 | (m- n). r is an equivalence relation. list the distinct equivalence classes of r prove that s is an equivalence relation. a2-c2. list four distinct elements in the equivalence class [(3,8)] 7. let a be the set of students at gsu. define the relation s as: x s y is the same age as y 8. let a be the set of all ordered pairs of integers. define a relation r on a as: (a, b) r (c, d)

12.5 feet

step-by-step explanation:

table 3 represents a direct variation function. : )

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.