Determine whether the statement is true or false. a) The area of a circle with radius length r is given by A Tr?. b) With lengths of the corresponding sides of similar S1 1 polygons having the ratio = , the ratio of their A1 1 areas is = . A2 2

Q: Given: Quadrilateral POST is an isosceles trapezoid with OS I PT. ER is its median. a. If OS = 3x -…

A: Given quadrilateral POST is an isosceles trapezoid with OS∥PT and ER is its median.

Q: Neil claims to have drawn a regular polygon with interior angles equal to 100°. find the value of n…

A: Given Data: Interior Angle: A=100° The interior angle of a regular polygon is, A=n-2180°n

Q: In the accompanying diagram, BĎ is tangent to circle o at B, BC is a chord, and BOA is a diameter.…

A: We can solve it by following method.

Q: 6. In ADEF, mLD = 50, and an exterior angle with vertex F has measure 120. What is the longest side…

A: Given that : In ∆DEF, m∠D=50, an exterior angle of vertex F has measure 120

Q: The problem in the Babylonian tablet TMS 1, is to calculate the radius of a circle circumscribed…

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Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothens? Of…

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Q: The corresponding sides of two regular pentagons are 2 in and 7 in. What is the ratio? Apothem?…

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Q: In circle E, AB | CD and BC is a diameter. 2. If mAC = 4x + 5 and mBD = 2(x + 20), what is m/ABC? A…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: In the diagram below of AACT, D is the midpoint of AC, O is the midpoint of AT, and G is the…

A: Geometry

Q: /2. The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the sides of two regular pentagons are 2 in and 7 in.  So their sides are in ratio of 2:7…

Q: B

A: (Statement and figure is mismatch ) As shown in give diagram, If points B and C are the endpoints of…

Q: Are the polygons similar? If they are, choose the correct similarity statement and scale factor. V.…

A: given

Q: A PQR is circumscribed about Circle C. A triangle is a circumscribed triangle if each of its sides…

A:

Q: The measure of each interior angle of a regular polygon is eleven timesthat of an exterior angle.…

A: Let x & y be the measure of interior and exterior angle of the regular polygon respectively.…

Q: 45. If m4R = 40° in circle O, what is m40? The figure is not drawn to scale.

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Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P1(x1,…

A: Given:

Q: Given regular pentagon RSTVQ and equilateral triangle PQR, the length of an apothem (not shown) of…

A:

Q: The interior angles of an​ n-gon have an average measure of 150°. What is​ n?

A: If polygon with n sides then each angle can be expressed as n-2×1800n

Q: The polygons are simllar, but not necessarlly drawm to scale. Find the value of x. A 12 52 3 O 208…

A: Explained below

Q: 41.) If two circles have a radius of 5 cm, they are a. concentric circles b. tangent circles c.…

A: Congruent circles are circles that are equal in terms of radius

Q: Given:  D is the center of the circle and the 2 triangles are right-angled at A and C. Prove that…

A: We need to prove that the two triangles are equivalent.

Q: 1. Given the cube ABCD.EFGH with side length 8 cm. Calculate the distance between the following…

A: We will solve the following. Visualise part B in 3D

Q: Given the edge of a square is about 100 cm, by how to measure it such that the

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Q: 2. In the diagram shown of AACT,D is the midpoint of AC,0 is the midpoint of AT, and G is the…

A: We will apply foltlowing theorem in this problem  If in any triangle, the line joining the mid…

Q: 8) In a circle whose radius has length 3 in., the length of an arc is a in. What is the degree…

A: Radius of circle is r=3 in. and length of arc is s=pi in. We know that radian measure of arc is

Q: Which of the following is required to construct the inscribed circle of a triangle? O A. the…

A:

Q: and is planning to drive from City X to City Y. The scale drawing be stance between the two cities…

A: we have to find out the actual distance

Q: If the radius of a circle is r and the length of the arc subtendedby a central angle is also r, then…

A: The radius of a circle is r and the length of the arc subtended by a central angle is also r

Q: 4) If point C is in the center of the base of the pyramid, find the length of line AC. A C 10 cm В 5…

A: Base of the pyramid is a square with side 5 cm.              Let find the diagonal of the square…

Q: A triangle has a midsegment that measures x in. If the length of the triangle's base is x + 33 in,…

A: Note:- According to company policy we can attempt ?️ only one question so please upload the next…

Q: A triangle has a perimeter of 40 and area of 60. Using A = 1/2rP, find the length of radius r for…

A: Given data: P=40 A=60

Q: Mr. Johns asked the class to find the radius of a circle centered at the origin that contains the…

A:

Q: In the diagram below, AB, BC, and AC are tangents to circle 0 at points F, E, and D, respectively,…

A: From an external point, only two tangents can be drawn to a circle and they are equal in length.

Q: Consider the figure below with circles R, C, and D below, where circle R and circle Rare congruent.…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Suppose point Y is the bisector of segment XZ. If XY = 5.6 cm, what is the length of XZ? If needed…

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Q: 5. In the following diagram of circle o, AD and BC are diameters. Which statement is not true?

A:

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: In the diagram below of triangle KLM, N is a midpoint of KL and Pis a midpoint of LM. If N P: = x +…

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Q: If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon above.

A: JOIN AD BY USING THEOREM that if lines are parallel then sum of co-interior angle is 180. 2) if…

Q: If the area of the rectangle in the figure below is 18 and the perimeter of each of the four…

A:

Q: If QC is tangent to circle O and QC = 8 and BC = 4, then the length of OB is ? 8. B 4 C

A: we have to find OB radius

Q: Which of the following is required to construct the inscribed circle of a triangle? O A. the…

A: To Inscribe a Circle in a Triangle Bisect one of the angles. Bisect another angle.

Q: If two polygons are similar and have a scale factor of 3, then the ratio of the areas of the figures…

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Q: 9. In the diagram of circle 0, diameter AB is parallel to chord CD. If mAC = x+ 9 and mBD = 4x – 12,…

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Q: In isosceles triangle RST shown below, RS RT, M and N are midpoints of RS and RT, respectively, and…

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Q: With the circle inscribed in triangle RST, it follows that RM = RP, SP = SN, and TM = TN. True or…

A: According to two tangent theorm The two tangent theorem states that if we draw two lines from the…

Q: 2. If the circumferences of two circles are in the ratio 2:3, then their areas are in the ratio (A)…

A:

Q: If points A and B are the endpoints of a diameter and C is any other point on O0, find the measure…

A:

Q: Mr. Johns asked the class to find the radius of a circle centered at the origin that contains the…

A: For finding radius of circle