A diagonal in a polygon is a line segment that is drawn from a vertex to a nonadjacent vertex. If n represents the number of sides of a polygon, which of the following expressions can be used to determine the number of diagonals that can be drawn in a 12-sided polygon?

Q: In a regular polygon of n sides each interior angle is 144 degree find n

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Q: When writing a proof of the segment addition postulate where AB = 18, substitution can be used to…

A: This is a basic segment addition question

Q: O A. Yes, because the sum of the measures of the interior angles of the four polygons is 60° + 60° +…

A: View a person as presented in the textbook. Semi-regular tilling: it is an edge-to-edge tiling with…

Q: o perform a geometric construction of drawing a segment congruent to a given segment, just measure…

A:

Q: 7. How many diagonals are there in a polygon of 20 sides.

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Q: 3. Find the sum of the interior angles of a regular pentagon.

A: Given,           Regular pentagon.

Q: Given that AB =4x+8 and BC=2x+3, and AC is 77. What is "x"? Only use number answer. Use the segment…

A:

Q: Given: NPQRST is a regular hexagon. Prove: NPRS is a rectangle. (Begin by drawing a diagram.)

A: To prove: NPRS is a rectangle. Concept used: All the sides and all angles of Regular hexagon are…

Q: Find the length of the segment AB. D B to -10 -12 -9 -7 -6 -5 -4 -3 10 11 12 The length is (Type an…

A:

Q: 10. Name the two conditions in order for a polygon to be a regular polygon.

A: To write: The two conditions in order for a polygon to be a regular polygon.

Q: 2. The Polygon Exterior Angle Sum Theorem states the sum of the measures of the exterior angles of a…

A: We have to calculate the sum of exterior angles of polygon.

Q: Write a formula that connects the number of sides of the base, S, with the number of edges, E.…

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Q: Find the area of the given polygon. 15 O 20 33 O 37 O 42 O none of the above

A: We have to find area of Polygon.

Q: Using the polya's strategy, If it is now 8:15 pm, what will it be in 431, 999, 999, 995 minutes from…

A: We will use polya's strategy

Q: A regular six-sided polygon is inscribed inside a circle and each vertex has a point on the…

A: Given that a regular six-sided polygon is inscribed inside a circle and each vertex has a point on…

Q: When three squares are joined at their vertices to form a nght triangle, the combined area of the…

A: Explanation:   Area of square=(side)2By Pythagorean theorem:(longest side)2=(side1)2+(side2)2 Check…

Q: tion Every regular polygon can be divided into as many congruent triangles as it has sides. O True…

A: True

Q: A regular polygon can be defined as a polygon that has regular number of sides. O True O False

A:

Q: A prism is a polyhedron. O True O False

A:

Q: How many different triangles have the perimeter 15 cm if lengths are natural num

A: Given, The perimeter of a triangle is 15cm.   To find the number of triangles having perimeter 15cm.

Q: 20 in

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Q: Suppose a trapezoid is made from four loose pieces of spaghetti on a table. It is possible for each…

A: Suppose the trapezoid is made from four loose prices of spaghetti on the table.

Q: The measure of a single interior angle in a regular polygon can be be found by dividing the sum of…

A: We know that ,measure of each interior angle of regular polygon is given by   Measure of each…

Q: 5. All regular polygons can be inscribed in a circle. True False

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Q: The measure of a single interior angle in a regular polygon can be be found by dividing the sum of…

A:

Q: Given: Any square ABCD and any equilateral triangle XYZ. Prove: ABCD is a regular polygon and XYZ is…

A: To Prove: Given: Any square ABCD and any equilateral triangle XYZ.Prove: ABCD is a regular polygon…

Q: A regular polygon has n vertices. How many lines can be drawn between two non- adjacent vertices on…

A: Given the polygon of of n vertices  Then,

Q: The five leaves shown are all congruent,but one differs from the others. Whichone is different and…

A: Given that all are congruent. We shall number the leaves as follows.

Q: A regular six-sided polygon is inscribed inside a circle and each vertex has a point on the…

A:

Q: 1. Cross out all the figures that do not illustrate polygon. After identifying the polygons,…

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Q: Given that AB =4x+8 and BC=2x+3, and AC is 77. What is "x"? Only use number answers. Use the segment…

A: Given, AB=4x+8, BC=2x+3 and AC=77 AB+BC=AC

Q: Let n 2 3 be a natural number. Find how many pairwise non-congruent triangles are there among the ("…

A: Given that n≥3. Now consider regular n-gon.  It has partition of n edges into 3 pieces with x edges…

Q: Let P0 be an equilateral triangle of area 10. Each side of P0 is trisected into three segments of…

A:

Q: The adjacent interior and exterior angles of a polygon are supplementary, as indicated in the…

A: a) Given that, Interior angle = n-2180n As exterior angle is supplement of interior angle. Means…

Q: Find the number of side an equiangular polygon has if each of it's angles is A. 144 degrees B. 120…

A: If we have an interior angle, let A. Then the exterior angle will be, θ=180°-∠A   It is known that,…

Q: 2. A circle that contains all the vertices of a polygon is ? the polygon. (circumscribed about or…

A: Given that

Q: Given a right prism with a polygon base, we figured out that there are rules to determine how many…

A:

Q: How many symmetries does a regular n-gon have? (This means an n-sided polygon, all of whose sides…

A: We find number of symmetries of triangle, square, pentagon.

Q: In a parallelogram, both pairs of opposite sides are congruent. O True O False

A:

Q: How many diagonals does a regular 20-gon have? Note: A regular 20-gon is a polygon. It has 20 sides…

A: Topic = Geometry

Q: 11. Determine which of the following figures are not regular polygons and give at least one reason…

A: We know that a regular polygon is a polygo whose all sides and all angles are equal. From the given…

Q: All sides in a regular polygon must be congruent. To True O False

A: A polygon which has all sides mutually congruent and all angles mutually congruent is called a…

Q: Each child in a class is at least 110 centimeters tall and at most 142 centimeters tall. How large…

A: Given: Lower limit of height of a child (a) = 110 Upper limit of height of a child (b) = 142…

Q: ny regular polygon, the center can be determined by the intersection of any two angle-bisectors of…

A: Given: For any regular polygon, the center can be determined by the intersection of any two…

Q: Suppose the apothem of a pentagon measures to be 8.4 units and each side of the pentagon measures to…

A:

Q: for a quilt using polygon EQFRGSHP shown.

A: Given as,

Q: Find the total number of triangles, of any size, that are contained in the diagram Type your…

A:

Q: Find the number of sides of a regular polygon if one of its interior angles has the following…

A: Given the interior angle of the regular polygon is 1620.

Q: use euler's theorem to find the value of n a.faces:10 verticles:15 edges:n b.faces:n verticles:14…

A: Euler's formula : F+V=E+2              where F is the number of faces ,V is the number of vertices…

Q: Determine the sum of the interior angles of a n-sided polygon. O (n-1)180 O 180n O 360n O (n-2)180

A: To determine: Sum of all angles of a n sided polygon.

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.