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Look at the Hexagon below
1.Find the measure of each numbered angle
2.if the apotheosisem is 20[tex]\sqrt{x}[/tex]3 find the radius and side
3.FInd the area leave your answer in simpilest radical form

Look at the Hexagon below 1Find the measure of each numbered angle 2if the apotheosisem is 20texsqrtxtex3 find the radius and side 3FInd the area leave your ans class=

Respuesta :

amna04352

Answer:

Angle 9: 60°

Angle 10: 30°

Side = radius = 40sqrt(x/3)

Area = [800sqrt(3)]x

Step-by-step explanation:

Total angle in a hexagon:

(6 - 2) × 180

720

Each interior angle:

720/6 = 120

angle 9 = 120/2 = 60

Angle 10 = 60/2 = 30

sin(60) = 20sqrt(x)/r

r = 20sqrt(x) ÷ sqrt(3)/2

r = 40sqrt(x/3)

Side:

sin(30) = ½s/(40sqrt(x/3))

½s = 20sqrt(x/3)

s = 40sqrt(x/3)

Area = (3sqrt(3))/2 × s²

Area = 3sqrt(3)/2 × 1600x/3

Area = [800sqrt(3)]x