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Ganezh [65]
3 years ago
6

Don’t know much about geometry

Mathematics
1 answer:
Mariana [72]3 years ago
7 0

Answer:

Step-by-step explanation:

J is a tangent to the circle and it is at right angle,

So applying Pythagorean theorem

HK² = KJ² + HJ²

HK² = 8²+ 15²

HK² = 64 + 225

HK² = 289

HK = √289

HK = 17 mi

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Nady [450]

Answer:

a) m arc AD = 145

b) D = 10

Step-by-step explanation:

a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.

The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°

The arc length is identical to the arc angle when measured between radii.

b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.

Diameter is twice radius = 10

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2 years ago
Quadrilateral ABCD has vertices A(–2, 4), B(1, 3), C(2, –3), and D(–3, –1). Graph quadrilateral ABCD and its image after a rotat
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Answer:

(-3 , 1)(-2,4) (4,5) (2,0)

Step-by-step explanation:

Rotation around center (x₀ , y₀), counterclockwise rotation θ degree

x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀  

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A(-2.4) -> counterclockwise rotation 90°

F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3

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F (-3 , 1)

Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)

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2 years ago
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