- Complete each theorem: a) An angle inscribed in a semicircle is a(n) angle. b) The two tangent segments drawn to a circle from an external point are

Q: We use a standard notation: a, b, and c denote the sides of the triangles and their lengths, and A,…

A: The given triangle is: Also given that a=5 and b=12. We need to find the value of sinA, cosA, and…

Q: Prove that 30° is a constructible angle.

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Q: 5. A building 350 feet tall casts a 55-foot-long shadow. If you look down from the top of the…

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Q: State and prove the converse of the corresponding angles theorem.

A: State and prove the converse of the corresponding angles theorem.

Q: . Given: PA and PB are tangents to 0. Use the diagram at the right to explain how the corollary on…

A: Given: PA  and  PB are tangents to O   From the above diagram:   a)  ∠P  and  ∠O  are  the two pairs…

Q: Which is longer, the chord AB or the corresponding arc AB?

A: A chord of a circle, which is twice as long as its radius, is a diameter of the…

Q: Three of the interior angles of a regular pentagon are each x. The others are each 3x. Findx.

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Q: 1) Circle P is tangent to each side of ABCD.AB=20, BC=11, and DC=14. Let AQ=x. Find AD.* B P.

A: Theorem  Pair of Tangents are equal in length from external point to a circle

Q: suppose a =160 a) find supplement of a  b) find two negative angles coterminal with a C) what is the…

A: a) If the sum of two angles is 180 degree then they are called supplementary angles. So the…

Q: If 90≤ θ ≤ 270 and sin(θ) = 0.72 What is the angle of θ? Find a postive and negative angle that is…

A: Given:- 90≤ θ ≤ 270  sinθ= 0.72

Q: 9) Which segment is an altitude? * A D AD AE BD

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Q: Find the angles of the triangle whose sides are x+y -4 = 0, 2x+y-6=0 and 5x+3y - 15 = 0.

A: Lines:x+y-4=0⇒y=4-x                      (1)2x+y-6=0⇒y=6-2x                  (2)5x+3y-15=0⇒y=153-53x…

Q: d) Find the coordinates of the point on the unit circle that makes a central angle of 1/3 radians.

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Q: Verify, using a ruler and protractor, that these two triangles have two sides the same length and…

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Q: Given:  A is (-2, 5) and B is (4, -3).  Find the midpoint of segment AB.

A: Midpoint of the line joining (x1 , y1) and (x2 , y2) is x1+x22 , y1+y22

Q: Find the length and midpoint of AB A= -3 B= 21

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Q: 14 The centers of two circles with radii 3 and 5 are 10 units apart. Find the length of a common…

A: The centers of two circles with radii 3 and 5 are 10 units apart. Find the length of a common…

Q: 5. Determine any three positive angles that are co-terminal with 150°.

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Q: Is the distance between a and b the same as the distancebetween b and a?

A: By Definition, The distance between two numbers is defined as distance = a - b  so, its an…

Q: a) Find the area of the triangle formed by the points A(1, 2, -1), B(5, 9, 0) and C(-6, 0, 3). )…

A: a)  area=27.88 b) angle between vectors = 0 degree