Mr. jones has 12exams in 2 hours. At that rate how many hours would it take to grade 48 exams

Solution:

Given that,

Mr.jones has 12 exams in 2 hours

From given,

12 exams ⇒ 2 hours

At that rate how many hours would it take to grade 48 exams

Let "x" be the time taken for 48 exams

Therefore,

12 exams ⇒ 2 hours

48 exams  ⇒ "x" hours

This forms a proportion and solve the sum by cross multiplying

Thus it takes 8 hours to grade 48 exams

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.