In the figure below, BD and EC are diameters of circle P. What is the arc measure of ADE in degrees? IMAGE BELOW
1 answer:
Answer:
The arc measure of ∠ADE is equal to 333 degrees.
Step-by-step explanation:
Please refer to the attached diagram,
Let the unknown angle ∠APE = x
Since BD is the diameter of the circle then
∠APE + ∠DPE + ∠APB = 180°
∠APE + 63° + 90° = 180°
x + 63° + 90° = 180°
Solving for x
x = 180° - 90° - 63°
x = 90° - 63°
x = 27°
Since a circle has 360° then
∠ADE + ∠APE = 360°
∠ADE + x = 360°
∠ADE + 27° = 360°
∠ADE = 360° - 27°
∠ADE = 333°
Therefore, the arc measure of ∠ADE is equal to 333 degrees.
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Answer:
y = (5/4)2^x
Step-by-step explanation:
The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...
y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))
y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference
This can be simplified to ...
y = 10·2^(x -3) = 10/8·2^x
y = (5/4)2^x
