In the Saint Patrick's day competition, Mr. Wigglesworth's homeroom found 12 shamrock's. This is 10 more shamrock's than Mr. Hughes's homeroom found. How many shamrock's did Mr. Hughes's homeroom find? In your equation or inequality, x = the number of shamrock's that Mr. Hughes's homeroom found.

Group of answer choices

12 = x + 10

12 = x - 10

10x = 12

10 = x + 12

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.