A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick Let y represent the ice sheet's thickness (in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks. y=

Given:

Initial ice sheet's thickness = 2 meter

After 3 weeks, the ice sheet's thickness = 1.25 meters

To find:

The equation for the relationship between the thickness and number of weeks.

Solution:

Let y represent the ice sheet's thickness (in meters) after x weeks.

Initial ice sheet's thickness = 2 meter

It means, the equation of relation must be satisfy by the point (0,2).

After 3 weeks, the ice sheet's thickness = 1.25 meters

It means, the equation of relation must be satisfy by the point (3,1.25).

If a linear function passes through two points, then the equation is

Add 2 on both sides.

Therefore, the required equation for the given relation is .

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.

15. x> 15/4,x< 17/2

step-by-step explanation: