Inside the square ABCD are the points E, F, G and H  such that the triangles ABE, BCH, CDG and DAF are equilateral. Find the ratio of the area of the square ABCD and the area of the quadrilateral EFGH.

Q: Find the length of the given side for the congruent triangles ABC and A'B'C'. The length of side…

A: It is given that, ∆ABC and ∆A'B'C' are congruent

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: Find the exact perimeter and area of the segment shown, given that m20 = 60° and OA = 12 in.

A: we have to find exact perimeter and area of the segments.

Q: Find the measures of the angles between the diago-nals of the rectangle whose vertices are A = (1,…

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given…

Q: What is the area of triangle ABC with ∠C = 54°, AC = 11, and CB = 14?

A: Given:-  ∠C = 54°, AC = 11, and CB = 14 To find:- Area of triangle ABC

Q: If the area of parallelogram ABCD = 246 mm? and h = 20.5 mm, what is the length of the base of…

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Q: A. In AABC, Q, R, and S are the midpoints of segments BC, AC and AB, respectively. If AB = 30 cm, AC…

A: Disclaimer- Since you have asked multiple questions, we will solve the first question for you. If…

Q: What is the area of triangle ABC if a = 5 ft, b = 6 ft, and c = 7 ft?

A: Follow the procedure given below.

Q: PORS is a cyclic quadrilateral, with diagonals PR and QS meeting at right angles. 3 cm R P 4 c

A: Given that:

Q: In quadrilateral ABCD (Figure 8.20), the lengths of the sides and of diagonal BD are shown. Find the…

A: Given: A quadrilateral ABCD Formula Used: Heron's Formula: s=a+b+c2Area=ss-as-bs-c

Q: If EC= 10 cm and AE = 3x- 5, for what value of x is ABCD a parallelogram? ABCD is a quadrilateral…

A: Given :  ABCD is a quadrilateral with BE = ED. BD and AC are the diagonals of quadrilateral ABCD. EC…

Q: If the area of the circle is 25TT cm², what is the length of diagonal AD? a. 5V2 cm b. 5V2n cm c.…

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Q: The two triangles are congruent. Find the length of CB. 30 9 in 30° 9 in 2x x+4 CB = %3D B D.

A: Given two triangles are congruent

Q: Trhangle be ken to triangie A E C' B' A B A' A'B' C'B' АВ CB

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Q: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller…

A: Characteristics of a rhombus All sides are equal.   (i) Diagonals bisect each other at right…

Q: Find the (a) measure of the central angle, (b) length of the side, (c) area of the given polygon.

A: Given is the figure : The central angle of a polygon is found by the formula 360οn, where n is the…

Q: Write the ratio of circles to squares. SOC C O

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Q: Given quadrilateral ABCD, find the values for x and y. A, Xroy+2) 112 (7x+6) B E.

A: According to given, The given quadrilateral ABCD is a rectangle because the diagonals AC=BD which…

Q: If the midpoints of the sides of AEFG shown below were connected with line segments, what would be…

A: Midpoint Theorem : Segment joining midpoints of two sides of triangle is parallel and half of the…

Q: The diagonals of quadrilateral ABCD are perpendicular. If AC = 14 inches and E BD = 25 inches, find…

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Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

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Q: List the pairs of congruent angles and the extended proportion that relates the cortesponding sides…

A: If triangles similar then their corresponding sides are proportional and angles are equal

Q: Find the area of a regular pentagon with the apothem of 24.3 cm and a side length of 35.3 cm. O A.…

A: The regular pentagon has apothem 24.3 cm and the side length of 35.3 cm So, the perimeter of the…

Q: if a triangle has sides of x,2x,and 3x-1, what is the perimeter?

A: Here is the solution.

Q: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE ||…

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Q: If AC is a diameter of ©0, find the area of the shaded triangle. A 8 4 4 7

A: the given figure is: we have to find the area of the shaded triangle.

Q: ABCD is a quadrilateral with BE = ED. B D. 1. Given that EC = 8.4 cm, what is the %3D E.

A: Definition:   The diagonals bisect each other. One pair of opposite sides is parallel and equal in…

Q: X-9 В 18 12 E 15

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Q: 9. AABC is an isosceles triangle with AB BC. If AB = 3x + 41, BC = 8x – 54, and AC = 12x– 103, find…

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Q: A quadrilateral has sides 6cm, 10cm, 18cm, and a cm.  A quadrilateral similar to this has the…

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Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

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Q: For a regular octagon, the length of the apo- them is approximately 12 cm and the length of the…

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Q: Quadrilateral CDEF is an isosceles trapezoid, CE = 2u + 4, and DF = u + 61. What is the value of u?

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 6.) Of the following side measures, which could represent the length of side AC in triangle ABC? 26…

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Q: The angles of a pentagon are in a ratio of 7:6:5:5:4. Find the measure of the smallest angle.

A: Sum of angles of a pentagon is 540°.

Q: P V R Q

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Q: Find the exact perimeter and area of the segment shown, given that m/O 60° and OA 12 in. A B

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Q: In quadrilateral ABCD, the measure of exterior angle A is twice m ZB, 20 more than m ZC, and 40 more…

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Q: A target with a black circular center and a white ring of uniform width is to be made. If the…

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Q: Given that Segment BA is a diameter, find x. (3х - 2) C (6x + 20)° 52 18 128 8.

A: From the given question : BA is diameter. Therefore, ∠APC+∠CPB=180°. It is also given that :…

Q: Find the area and perimeter of the segment shown. Given m20 = 90° and AB = 6 in. В A

A: Use relation between centre angle and chord for area

Q: In the triangle for which β = 30˚, a = 10, and c = 12, find the length of side b.

A: Given that: In triangle ABC,  β = 30˚, a = 10, and c = 12

Q: Consider the two congruent triangles PQR and KLM. 18 3y *+2y 12 2x What is the perimeter of APQR? O…

A: Given: The two given triangles △PQR and △KLM are congruent i.e., △PQR≅△KLM Since, the two triangles…

Q: For a regular polygon with 8 sides, each exterior angle has a measure of - 45° 90° 180° 135°

A: A regular polygon with 8 sides is called octagon.

Q: A four sided figure that has sides which measure 10cm, 11cm, 8cm, and 9cm can never be a rectangle.…

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Q: In parallelogram ABCD, AB = x+9, BC = x+5, and CD = 2x-3. Find the length of side AD.

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Q: ABCD is a rectangle. A a. If Z1 = 40°, find angles 2 to 6 b. If 24 = 115°, find angles 1, 2, 3 and 5

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Q: The radius of a square is 2 in. Find the perimeter, apothem, and area of the square.

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

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