Applactions of systems of equations Two teachers, Mr. Donahue and Mrs. Ortiz, decide to buy mechanical pencils and rulers for their
classrooms. Mrs. Ortiz buys 50 mechanical pencils and 30 rulers for $55. Mr. Donahue buys 30
of each for $45. What was the price per mechanical pencil? What was the price per ruler?

it should be a and d. lmk if i'm wrong xd

answer: 4 (:

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.