2x A A and B are points on the circumference of a circle, centre O. CA is a tangent to the circle. Angle CAB = 2x Prove that angle AOB = 4x Give reasons for each stage of your working.

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A: Let the two observers be at point A and B Ballon be at point CLet Ad = x kmthen , DB = (150-x) kmLet…

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A: From the given figure, we have find the measure of PCQ

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A: Let's find coordinate of point P.

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A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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A: the length of the opposite side of the angle is 12.60 inch see calculation below

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A: From figure it is clear that Measure of arc=272°We have to calculate the vertex angle.

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A: To find the acute angle between the given lines.

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Q: a

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A: The answer is given below:

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A: Let us consider that: Point T = (x, y). Given that : Point S= (-2, -6) and m:n=SQ:QT=5:2 .…

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A: According to question given thatTerminal points =(-2.69,-1.33)x=-2.69y=-1.33Circle radius(r)= 3…

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A: We need to find the terminal point on the unit circle (let circle be centered at origin) given the…

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A: The bullet is at position B. and gun is at position C. BD = 3m CE = AD = 1.2m So, AB = 3-1.2 = 1.8m…

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Q: 4. From a window 30.0 ft above the street, the an- gle of elevation to the top of the building…

A: Given figure, According to the given figure, AB = 30 ft ∠ACB=20°∠DCB=50°

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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Q: The measure of the angle in degrees is

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A: This question is based on application of Cosine rule.

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A: Given:TA and TB are tangent ∠AOB =132° ∠Acd =59°(i) a  ∠ATB =?∵∠OAT=90°…

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A: To prove - XY is tangent to circle Z.

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A: Given,          The point P at an angle of 225 degrees on a circle of radius 2.7

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A: Given in question,  OC = 1 unit& AC = 1.5 unitSo,     In a right angle triangle  OAC,    OA2…

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Q: 5. AD is tangent to the circle. Find angle BAD 236 A

A: given,

Q: Find the acute angle between the lines. Round your answer to the nearest degree. 5x − y = 2,    7x +…

A: The given lines are: 5x-y=2y=5x-2      .....17x+y=6y=-7x+6    .....2  To find the acute angle…

Q: 4. A submarine traveling at a depth of 250 feet dives at an angle of 159 with respect to a line…

A: Please see the answer below.

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