Circle P is divided into four central angles by the diameters ⎯⎯⎯⎯⎯⎯⎯⎯ and ⎯⎯⎯⎯⎯⎯⎯⎯⎯ . The four central angles are ∠ , ∠ , ∠ , and ∠ . The measure of ∠ is (+1)° and the measure of ∠ is (3–18)°.

Find the measure of ∠ to the nearest hundredth of a degree.

m<CPD =

Step-by-step explanation:

From the given diagram,

m<APD ≅ m<BPC (vertically opposite angles)

m<APB ≅ m<CPD (vertically opposite angles)

But,

m<APD = (x + 1)

m<APB = (3x - 18)

In the given circle,

m<APD + m<BPC + m<APB + m<CPD = 360

(x + 1) + (x + 1) + (3x - 18) + (3x - 18) = 360

2(x + 1) + 2(3x - 18) = 360

2x + 2 + 6x - 36 = 360

8x - 34 = 360

8x = 360 + 34

8x = 394

x = 49.25

Thus,

m<CPD = (3x - 18)

            = (3(49.255) - 18)

            = 147.75 - 18

            =

m<CPD =

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

yes

step-by-step explanation: