Prove that every triangle has at least two acute interior angles.

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: Suppose that Tis a point on side PQ of APQR. Also, RT bisects ZPRQ, and ZP = 2Q. If Z1 and 2 are the…

A: Consider triangle PQR, As RT bisect angle R, ∠PRT=∠QRT Given that ∠P=∠Q ∠RTP=∠1∠RTQ=∠2

Q: A radio antenna, 20 ft high is located on top of a man-made platform.  A man situated on the ground…

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Q: Two sides of a regular pentagon are produced fo form angle x .what is x?

A: Given , Two sides of a regular Pentagon are produced to form an angle x We need to find x The…

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle -445°

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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: 4x 3x

A: Solution is attached. Summary.... x = 30 So half the angle x = 15

Q: A careless person wrote, using the figure shown, m < AOB + m < BOC = m< AOC. What part of…

A: Explanation: Here given that, m∠AOB+m∠BOC=m∠AOC

Q: calculate the lengths of all three sides using the distance formula of the non-right angle triangle…

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Q: Calculate the requested distance. The distance from the point S(-10, 2, -1) to the line x = -1 +…

A: Question is solved.

Q: Prove that if two intersecting lines form one right angle, then they form four right angles.

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Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

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Q: eference, AO is perpendicular to the plane of AOBC and |AO| = 2. Then find the cosine of the angl…

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Q: The symmetric property of equality states that a segment or angle is congruent with itself. True O…

A: topic - properties The symmetric property of equality states that both sides of an equation are…

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: The three sides of a triangle are 5, x, and 8. Give all possible lengths x so that the triangle is…

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Q: when i submit the answer it says that i have not proven enough sides and/or the angles are…

A: Given:- AE¯∥FD¯,AE¯≅FD¯,AC¯≅BD¯ To prove:- ∆AEC≅∆DFB

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: Which of the following statements is true with respect to right triangle ABC? B b. = : d.= a а. C. a…

A: Solution: The objective is to determine the which option is true

Q: What is the third step made in constructing an angle that is congruent to another angle?

A: claim- to find what is the third step made in constructing an angle that is congruent to another…