The price of Stock A at 9 A. M. was $13.94. Since then, the price has been increasing at the rate of $0.09 each hour. At noon the price of Stock B was $14.69. It begins to decrease at the rate of $0.08 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

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.

3x^3-2x^2+4x-3= -3

x^2+3x+3= 3

-3÷3= -1