A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the diameter. If AB = 10 cm, BC = 20 cm, and CD = 30 cm, determine the diameter of the semicircle.

Q: What is the circumference of the circle if a chord 8cm long is 3cm away from the center of the…

A: Given: A chord 8 cm long is 3 cm away from the center of the circle. To Find: The circumference of…

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: 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 perpendicular bisector of the sides of triangle JKL intersects at point p. if JP= 2x+5 meters…

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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 sides of a parallelogram, which measure 7 cm and 17 cm, form an angle of 62 degree. How long is…

A: Given : Parallelogram sides = 7 cm , 17 cm  Angel = 65°

Q: Calculate the length of the third side of an isosceles triangle whose apex is 42 degrees and whose…

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Q: Each side of a rhombus measures 12 in. If one diagonal is 18 in. long, how long is the other…

A: Given : side =12daigonal=18

Q: If the diagonals of a rhombus are 12 cm and 5 cm , find the perimeter of the rhombus ?

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Q: The perimeter of a rhombus is 40 cm, and one diagonal is 12 cm long.How long is the other diagonal?

A: Explanation: Given a rhombus: Perimeter of Rhombus = 40cmLength of one diagonal = 12cm Formula used:…

Q: Find the values of x and y that make the quadrilateral a parallelogram.

A: Given,           A quadrilateral ABCD is a parallelogram is shown below :

Q: Find the lengths of the apothem and the radius of a square whose sides have length 10 in.

A: Consider the square: Here AB= BC = CD = DA = 10 in OE = EB = 5 in. Where O is the center.

Q: Aglass coffee tabletop is essentially square but has rounded circular corners, as shown. Find its…

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Q: a quadrilateral is inscribed in a circle such that one of its sides coincides with the diameter. If…

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Q: A garden shaped like a rhombus has a perimeter of 100 feet and a 60 degree angle. Find the…

A: Rhombus has 4 equal sides. Perimeter = 100 feet so each side = 100/4 = 25 feet

Q: A quadrilateral ABCD is inscribed in a circle, if AB = 90 cm, CD =70 cm, = 101.76 cm. respectively.…

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

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Q: If humans have SSIX QUms, then they can see into the futune

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Q: A quadrilateral with both pairs of opposite angles congruent is a_____

A: Given statement is "A quadrilateral with both pairs of opposite angles congruent."

Q: 3. If one side of a rhombus measures 12 cm, find its perimeter.

A: If one side of a rhombus measures 12 cm. We have to find the perimeter of rhombus.

Q: Line B, shown, bisects the corner of rectangle A. If ∠D measures 52°, then ∠C measures

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Q: A rhombus has sides that measure 4ft. each. If its smaller angle measures 40°,how long would be the…

A: For a rhombus, the diagonals are: The angle bisectors. Perpendicular to each other. Bisect each…

Q: Find, to the nearest degree, the angles that a diagonal of a box with dimensions 10 cm by 15 cm by…

A: Given: A diagonal of a box with dimensions 10 cm by 15 cm by 25 cm makes with the edges of the box.…

Q: If two angles of an isosceles triangle measure 35 degrees and the base of the triangle measures 18…

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Q: Find the area and the perimeter of a rhombus whose diagonals have lengths 18 in. and 24 in.

A: Given that the diagonal of rhombus is 18 in and 24 in To sketch the rhombus, Let “ABCD” be a…

Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 5 and…

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Q: 7. Find mZ. V W (2x + 29)°, (10x – 27)° Y

A: Property of parallelogram:   Sum of two adjacent angles in parallelogram is 180° Opposite angles in…

Q: Find the length of the common chord of two circles of radil 25 inches and 26 inches, respectively,…

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Q: This wall hanging is made of congruent 30-60-90 triangles with a height of 6 cm and a hypotenuse of…

A: Given Data: The height of the triangle is: y=6 cm The hypotenuse of the triangle is: h=12 cm The…

Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

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Q: Given: Quadrilateral LIKE is a kite with LI IK and LE KE. a. LE is twice LI. If its perimeter is 21…

A: We have a quadrilateral LIKE in the shape of a kite. LI¯≅IK  and LE¯≅KE It looks like: Part(a) We…

Q: If the area of a rhombus is 112 cm? and one of its diagonal is 14 cm find its othe

A: topic - area of rhombus from its diagonals

Q: three post are set in level ground in such a manner that their bases form an equilateral triangle…

A: SOLUTION-

Q: Find the length of side BC of the quadrilateral ABCD when 2C = 40°, AB = 16cm, and AD = 12cm. B C…

A: The figure of the quadrilateral is given by To evaluate: The length of the side BC.

Q: Find the radius of a circle inscribed in a rhombus whose perimeter is 100 inches and whose longer…

A: GivenPerimeter of a rhombus=100 inchesCircle is inscribed in…

Q: The midpoint of all sides of square are all joined together to create another square inside it (see…

A: First we find side of bigger square using Pythagorous theorem. And follow step 2nd .

Q: in the △ABC, AB=10cm, ∠B=90°, and ∠C=60° is the length of BC to the nearest centimetre?

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Q: Find the length of a side of an equilateral triangle if an altitude is 6 in. long.

A: Given data: ABC is an equilateral triangle. The length of the altitude AD=6 in. Consider the length…

Q: What is the approximate perimeter of a rhombus with diagonals that measure 12 feet and 18 feet?

A: Side of rhombus = digonal122+digonal222  Perimeter of rhombus = 4×side of rhombus

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

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Q: r x. R (3x + 5)° (9x – 17)° - 'T

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Q: Find the area of an equilateral triangle with an apothem having a length of 4 feet. Round to the…

A: The area of equilateral triangle with an apothem having a length of 4 feet is 83.1 feet2 The answer…

Q: A rhombus has diagonals of 6 cm and 8 cm, what is the length of one side in inches?

A: A rhombus has diagonals of 6 cm and 8 cm, what is the length of one side in inches?

Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 60°…

A: Given: The measure of each interior angle of a regular polygon is 60° greater than the measure of…

Q: A drawbridge that is 178 feet in length is raised at its midpoint so that the uppermost points are…

A: Let us draw the image in following way: We will apply Pythagoras theorem to find the height of the…

Q: In a symmetrical trapezium the inclination angle of the diagonal to the longer parallel base is 45°,…

A: area of trapezium problem.....

Q: A rhombus has sides of length 100 centimeters, and the angle at one of the vertices is 70°.…

A: Given the rhombus of side length 100cm and the angle at one of the vertices is 70 degree. We need to…

Q: Given a rhombus with a side length of 13 cm and a diagonal of Io cm and an area of 120 cm? ; find…

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Q: Find the area of the quadrilateral if  AB=7, BC=15, AD=12.5,DC=10 and B=65°

A: Given that AB=7, BC=15, AD=12.5,DC=10 and B=65° And we have to find area of Quadrilateral.