Eli ran for two weeks. During the first week, Eli ran 12 miles. During the next week, he ran 15 miles. What is the ratio of the number of miles ran in the first week to the total number of miles he ran in both weeks? Eli ran for two weeks. During the first week, Eli ran 12 miles. During the next week, he ran 15 miles. What is the ratio of the number of miles ran in the first week to the total number of miles he ran in both weeks? 12 : 15

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.