Is it possible for a regular polygon to have the following measures for each interior angle? a) 96° b) 140°

Q: Find the measure of each exterior angle of a regular polygon of n sides if: а) п 3 4 b) п 3D 12

A: Given that : a ) n = 4  b) n = 12

Q: For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C)…

A: Since, according to our guideline we have to answer only first question. I am answering first one.…

Q: Let ABC be an equilateral triangle with AB = AC, and let AD be the angle bisector of BAC. Show that…

A: Use congruence triangle

Q: The Orlando Eye in Orlando, Florida is a regular polygon with 30 sides. Which of the following is…

A:

Q: Find the number of sides of a regular polygon that has a central angle measuring a) 90°. c) 60°. d)…

A: We have to find number of sides of a regular polygon that has a measure of central angle: a)  90°…

Q: a) 3 сm 4 cm 5 сm

A: The formula for the Pythagoras theorem helps to validate the given statement. The formula for the…

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

Q: Find the number of sides for a regular polygon whose measure of each interior angle is: а) 108° b)…

A: a) The measure of each interior angle of the regular polygon is 108° Let the number of sides of…

Q: Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round…

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Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1.…

A: Given:  To identify all the 6 triangles in the given figure.

Q: given a cube whose edge is a cm find  1- the angle between the digonal of the cube and the digonal…

A: Consider this picture for ease of understanding.

Q: The measure of each central angle of a regular polygon is 36° a. How many sides does this regular…

A: Given: The measure of each central angle of a regular polygon is 36°. To determine: a) Number of…

Q: Match each regular polygon with the measure of one of its interior angles Dodecagon Decagon Triangle…

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Q: 15. Based on the markings shown in the following figures, are The triangles congruent? оое Yes No…

A: We are given with two triangles such that one side of each triangle is equal to another side of the…

Q: To construct a regular dodecagon (12 sides), what measure would be necessary for each interior…

A: dodecagon is a polygon that has 12 sides and we have to find the interior angles of that polygon by…

Q: What is the sum of the exterior angle measures, one at each vertex, of a convex 17-gon?

A: The given polygon is convex 17-gon

Q: Determine the method by which the triangles shown are congruent.

A: Here given graph as

Q: An interior angle of a regular polygon measures 165. If each side of the regular polygon measures 10…

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: According to question given that ABCD is rectangle ∆CDP is an equilateral triangle∆BCQ is an…

Q: For what type of triangle will the incenter and the circumcenter be the same?

A: The Circumcenter of a triangle is the point where perpendicular bisectors of the three sides meet.…

Q: if ABCD is a rhombus, AC=4, and ADC is an equilateral triangle, what is the area of rhombus?

A: Drawing the figure as per the question, As we are given that AC=4 and ADC is an equilateral…

Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

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Q: A sector that has a central angle of 120° has an area that is one-fourth the area of the circle. O…

A: Given query is to find the stao is true or false.

Q: In circle B with mZABC = 42°, find the angle measure of minor are AC. C

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Q: A satellite dish in the shape of a regular dodecagon (12 sides) is nearly “circular." Find: a) mAB…

A: A satellite dish is in the shape of a regular dodecagon (12 sides). Here measure of the one arc is…

Q: In Exercises 19 to 21, let B be an acute angle of a right 13 Find 12 triangle for which sec B =

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Q: A B C

A: Given:

Q: Given the regular polygon, find the measure of each numbered angle. 1 O m/1 = 22.5°, m2 = 78.75° O…

A:

Q: Another name for a regular three-sided polygon is an isoscleles triangle. True or False? O True O…

A: The regular three sided polygon is also called an equilateral triangle.  But also...

Q: What is the measure of each interior angle of the regular polygon pictured below? If necessary,…

A:

Q: Without seeing the actual shape, which of the following could be the measure of an interior angle of…

A: The measure of an interior angle of a regular polygon is given by the formula  Interior angle=…

Q: Each interior angle of a regular polygon is 156°. How many sides does it have? a) O 15 b) О 17 c) O…

A: Answer and explanation is given below..

Q: The formula for the sum of the measures of the interior angles of a polygon is A = 180°(n - 2). O…

A:

Q: R 6 P. 15 T. の

A: Please see the explanation below

Q: Given a regular polygon with radii and an apothem as shown, find the measure of each numbered angle.…

A: As it is regular polygon and three sides so we can say it is equilateral triangle. Use the…

Q: If each interior angle of a regular polygon has measure 160, how manysides does the polygon have?

A: We have to find number of sides of the polygon if each interior angle of a regular polygon has…

Q: What is the measure of each interior angle of the regular polygon pictured below? If necessary,…

A: Solve the following

Q: In the accompanying diagram of circle O, AB || CD, BC is a diameter, and radius AO is drawn. If…

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Q: Find the measure of a central angle of a regular polygon with (a) 10 sides,(b) 15 sides, (c) 360…

A: All central angles would add up to 360 degrees (a full circle), so the measure of the central angle…

Q: P V R Q

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Q: Use the results from Exercises 36 and 37 to find the length of the radius of the inscribed circle…

A: a) The sides of triangle are given to be 8, 15 and 17. Let us check whether the triangle is right…

Q: 10) 11) 12) 13)

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Q: Which polygon appears to be regular? O Figure A O Figure B Figure A Figure B O Figure C O Figure D…

A: The square in figure A is a regular polygon of 4 sides.

Q: For triangle AABC below, prove base angles A and C are congruent. C

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Q: in the semicircle of center O and diameter AB, the radius OE is perpendicular to the chord AC. If m…

A: Please see the explanation below

Q: Use the portion of a regular n-gon with center C Explain in words why the angles formed by a side…

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Q: What is the size of each interior angle (in degrees) for a 14-sided regular polygon? Round your…

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Q: In the accompanying diagram of AABC, AB = 6, BC = 8, and AC = 12. Point X, Y, and Z are midpoints of…

A: Solve the following

Q: Find the measure of each interior angle of a regular polygon of n sides if: а) п 3D 4 b) п 3 12

A: a)  n=4  Here use formula  each angle (of a regular polygon) =n-2×180°n Each angle of a regular…