Given ABCDEF is a regular hexagon, AB=x. Find (a) Diagonal AE in terms of x. (b) Diagonal AD in terms of x. D FL E.

Q: a. diagonal AC b. diagonal AD

A: Given that : For regular hexagon ABCDEF, the length of side is 4 in. Diagram :

Q: As shown in the diagram of rectangle ABCD below, diagonals AC and BD intersect at E. If AE = x +2…

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Q: Find the of triangle ABC given A = 110°, C = 32°, and c 240 cm. %3D %3D

A: By using the property, sum of all the interior angles of a triangle is 180° we get, ∠B=38°

Q: A regular hexagon with perimeter 24 has area: 24V3 b. 16V3 c. 48/3 d. 32/3 a. с.

A: Given a regular hexagon has perimeter 24. To find the area of given regular hexagon. Solution: We…

Q: In parallelogram ABCD , AB = 7 cm and the perimeter of ABCD is 30 cm. What is the length of AD %3D A…

A: The parallelogram is a two dimensional shape .It has two pair of parallel sides. The length of…

Q: For regular hexagon ABCDEF, the length of side AB is 4 in. Find the exact length of a) diagonal AC.…

A: according to given figure ∠B=120∘, AB=4, BC=4 so, in ∆ABC AC2=AB2+BC2-2ABBCcosB…

Q: What is the formula for the length of the diagonal D of a rectangular prism that has length /, width…

A: Given: The length of rectangular prism: l The width of rectangular prism: w The height of…

Q: To construct the square ABCD with the diagonal BD as shown, begin by constructing the…

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Q: Let ABCDEFG be a regular hexagon. Show that 1/AB = 1/AC + 1/ AD.

A: We need to prove the inequality.

Q: C В A In the figure above AB = 4x +6 and BC = 7x + 15. If AC 120, find the length of segment AB. %3D…

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Q: Here is rectangle ABCD, with AD 8 and CD 6. 6. C. The length of AC is (This is a perfect square, so…

A: We can find the answer for AC as below

Q: What value for x would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x-6 2x…

A: We will find the value of x for which the given quadrilateral is a parallelogram.

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: 15. For regular hexagon ABCDEF, the length of side AB is 4 in. Find the exact length of a) diagonal…

A: Given the length AB = 4cm Have to find the exact length of  a) diagonal AC b) diagonal AD Length of…

Q: In the accompanying diagram of AABC, AB = 4x - 3, BC = 2x + 7, AC = 5x- 1, and the perimeter of AABC…

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Q: . The diagonals of rectangle ABCD intersect at E. If DE =X + 8x and AE = 4x + 45. Find the length of…

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Q: ABCDEF is a regular hexagon. If AB -a and BC = b, find CD, DE, EF and FA in terms of a and 6 DẺ,

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Q: The triangles are congruent by E В A с D

A: Given:

Q: n and the hexagon is regular. G A C F E

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Q: For regular hexagon ABCDEF, the length of side AB is 4 in. Find the exact length of a) diagonal AC.…

A: Given: A regular hexagon ABCDEF with length AB is 4 in.

Q: Use the polygon method to get the resultant of the following displacement: (a) 5.0 km to the east,…

A: Given displacements: a5 km to the eastb7 km at 40° north of eastc8 km at 60° north of westd6 km at…

Q: В In square ABCD, AC = 6x + -12 and BE 1x, where E is the intersection of the diagonals. What is the…

A: In square, diagonal bisects each other at 90°. i.e. AE= EC & BE= ED.......(I) Also diagonals are…

Q: Suppose ABCDE and FGHL are similar pentagons and AB/FG 3.5. Suppose the perimeter of FGH is 24 cm.…

A: Given: ABFG=3.5FGHIJ=24 cm

Q: Given that the hexagons are similar. lli W 2 cm 5 cm 5 cm 7.5 cm 2 cm 3 сm 2 cm 3 ст 2 cm 7.5 cm S…

A: Given query is to find the corresponding angles and proportion of side.

Q: In circle D, find x and mCBA 4x+8 A D Зх-19 В A x = 27, mCBA = 62 x = 27, mCBA = 116 C x = 23, mCBA…

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Q: Given that the hexagons are similar. adl bas ss nianin allia 5 cm W 2 cm 5 cm 7.5 cm 2 cm 3 cm 2 cm…

A: Topic:- perimeter and scale factor

Q: r a 10. 6. 11. 4 12. 4V3 13. 14. 12

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Q: 11. Determine the area of the quadrilateral ABCD shown if OB = 80 cm, OA = 120 am, OD = 150 cm and e…

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Q: What is the area of quadrilateral ABDC shown below? 5 B. D -3 2 -1 3 4 Co 6. 2.

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Q: Given: AABC with perimeter 40 AB = 10 BC = x + 6 АС %3D 2х — 3 Whether AABC is scalene, isosceles,…

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Q: In regular hexagon ABCDEF, AB = 6 inches. Find the exact length of a) diagonal BF. b) diagonal CF.

A: Consider the regular hexagon

Q: In the diagram, AABC is an equilateral triangle, and D, E and F are the midpoints of its sides.

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Q: The dimensions of a polygon ABCD, shown below, are as follows: AB = 12, BC = V C=V2x+54, %3D CD =…

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Q: Can a triangle have the following side lengths and perimeter: AB = 2x +7, BC = x² - x, CA = 3x, and…

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Q: In the diagram below of triangle JKL, M is the midpoint of JL and N is the midpoint of KL. If mZLJ K…

A: Since M is the midpoint of LJ and N is the midpoint of LK.

Q: In the accompanying diagram of ABCD, AABC is an equilateral triangle and AD = AB. What is the value…

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Q: In the diagram to the right, D, E, and F are the midpoints of sides BC, AC, and AB of A ABC…

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Q: What value for X would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x – 6…

A: The parallelogram is a quadrilateral whose opposite sides are equal. It is observed that the length…

Q: Use Pythagoras' Theorem to find out which of the following combinations of lengths of sides can form…

A: Note : As per the authoring guidelines, when multiple questions or sub parts posted, then only first…

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: Given: The figure above is a regular polygon. B. x= (16x + 23)

A: The explanation of the solution as follows:

Q: In the drawing, suppose that WY and XZ bisect each other. What type of quadrilateral is WXYZ? W Y

A: Solution: Consider the given two lines WY and XZ bisect each other  Therefore if we find…

Q: The Pythagorean Theorem states that for any ______ triangle, the square of the______ is equal to the…

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Q: In the diagram below of rectangle RSTU, diagonals RT and SU intersect at O. If RT = 6x +4 and SO =…

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Q: What does CA and angle D equal?

A: We have to find the side CA and angle D.

Q: You cut a rope into two pieces. With one piece, you make an equilateral triangle, and with the…

A: Let the total length of the rope is 20 m. Let the length cut for the square be x. Therefore, the…

Q: The side of an equilateral triangle ABC measures x. How much is the perimeter of a square whose side…

A: Explanation of the answer is as follows

Q: Two congruent regular hexagons share common side DE as shown below. G A F

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Q: The area of triangle BCD is one third the area of triangle ABC as shown. BD = 6 and AC=20. Find the…

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Q: Use the side-splitter theorem to solve for a in the triangle below. 7. 12 35

A: Given: To find: x