- 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: Draw and label right angle FGH  with a bisector    GI.

A: Given query is to Draw and label right angle FGH  with a bisector    GI.

Q: (a) 143°

A:

Q: Given that ABC is an oblique triangle where A-53.016 and b= 17.433 and <A = 5.2°, determine the…

A: Consider the figure for the following question, We use law of cosines to find side BC

Q: a. Knowing that XTW is a tangent, find the following: i. Size of angle XTY. ii. Size of angle TXY.…

A:

Q: In every right triangle, two angles are complimentary a. true b. false The ordered pair (-2,7)…

A: Please see the below picture for detailed solution.

Q: The tangent of an angle is ____ greater than 1 .

A: We have to find at what angle the tangent greater than 1.

Q: Ex. 2: Sketch each angle in standard position and label its quadrant. Then, sketch an angle that is…

A: Note: Coterminal angles are angles in standard position (angles with the initial side on the…

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

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

Q: Ex. 4 Determine the length of the arc that subtends an angle of a) 4.75 radians in a circle of…

A: We know that if S is length of arc of a circle of radius 'r' which subtends an angle θ  at the…

Q: Find the length of h, the height drawn to the hypotenuse, of the right AABC with right angle at C if…

A: We can find the answer as below.

Q: 6. The point (-12,-16) lies on the terminal arm (of length r) of an angle of rotation. Sketch the…

A: Given point is (-12,-16)

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: whose measure is given. Use degree or radian measures accordingly. Consider where the positive and…

A:

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

A:

Q: 3. Let AABC be a right triangle with right angle C. Fix points D and E along AB such that AD = AC…

A: Given AD = AC Hence ∠ADC = ∠ACD = x (Assume) Given BE= BC Hence ∠BEC=∠BCE = y (Assume)

Q: Directions: Complete the following constructions. Leave all construction arcs on your paper.…

A: Solution is given below:

Q: 2. Let 0 = 950°. In degrees, find a positive angle less than 360° which is coterminal with 0. %3D

A: Coterminal angles are the angles who share the same initial side and terminal side. To find…

Q: Let O be center of circle and PQ tangent to circle at A, how much is angle RAQ?

A:

Q: An architect designs a wheelchair ramp for a historical building. The entry way is a level platform…

A: To determine if there is sufficient distance for a ramp within the given incline angle limit, we…