N 2008 price of houses were declining by 2% each year. If a house was purchased for $195,000, write the equation that models the situation.

p₁ = 0.98 p₀

p₂ = 0.98 p₁

Step-by-step explanation:

Given - N 2008 price of houses were declining by 2% each year.

             If a house was purchased for $195,000.

To find - Write the equation that models the situation.

Proof -

Let us assume that

p₀ = initial price of house

p₁ = price of house after 1 year

p₂ = price of house after 2 years

Now,

Given that, p₀ = $195,000

Then,

p₁ = p₀ - 2% p₀

   = p₀( 1 - 2%)

   = p₀ ( 98%)

⇒p₁ = 98% p₀

⇒p₁ = p₀

⇒p₁ = 0.98 p₀

Now,

Also p₂ = p₁ - 2% p₁

By doing the same process as above, we get

p₂ = 0.98 p₁

C) one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE

Step-by-step explanation:

Quadrilateral CDEF is inscribed in circle A, so:

m arc CDE + m arc CFE= 360°.

∠CFE and ∠CDE are inscribed angles, which means that their measures are one half the measure of their intercepted arcs.

So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE.

Using the substitution property of equality:

2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°.

Using the division property of equality, divide both sides of the equation by 2, resulting in:

m∠CFE + m∠CDE = 180°.

Therefore, ∠CFE and ∠CDE are supplementary.

The correct option is C.