Given that AB = 3x + 2, BC = 4x + 1, and CD = 5x – 2, find the length of each side of DABCD.

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: 24. If ABCD is a rhombus, AD = 4x + 2. DC = 7x- 13, and BD = 34, find AE.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. If DE = 16x – 3, EF = 9x + 11, and DF = 52, find HG. E D F G

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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: In ASUM, mLS = 75 and m2 U = 43. Which side of ASUM is the shortest?

A: The solution is given below.

Q: In rectangle ABCD, AB = x, BC= x+2, and AC = x+4. Find the value of x.

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

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: In Square ABCD, the diagonals intersect at point E. If them<AED = x + 2y, and the m<ABC = 2x -y,…

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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: Given the two similar octagons shown below, find the perimeter of the larger octagon. 28 Perimeter =…

A: Given that two octagons are similar. perimeter of smaller octagon is 34. That is,…

Q: If IV = 36 m, VE = 20 m, and EB = 15 m. find the width, RI, of the river. R V. B

A: Since ∠RVI &amp; ∠EVB areopposite angles∴ All angles of ∆RIV areequal to all angles of ∆VEBHence,…

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

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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: If a triangle has lengths of 27m and 11m, check all the possible lengths for the third side. a 39m b…

A: Given data are: If a triangle has lengths of 27m and 11m. Find the third side length.

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

A: In a parallelogram diagonals bisect each other  then AE = EC

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: 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: Find the lengths of sides a, b, and d if c = 9. a = b = %3D a 60° d b. 45°

A: Here we will use trigonometric ratio and Pythagoras formula together to calculate the length of the…

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: Ms. Ochabe had this parallelogram on the board and asked the class to determine the length of the…

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

A: Here is the solution.

Q: Given parallelogram ABCD, find AC. C. 3(2x+4) 4x+28 D. А. 8 В. 30 С. 60 D. 120

A: EC = 3(2x+4)ED = 4x+28

Q: In the figure, quadrilaterals ABCD and XYZW are similar rectangles. AB = 3, BC = 2, and XY = 2. Find…

A: Given that ABCD and XYZW are similar rectangles AB=3 , BC=2 and XY=2 find YZ

Q: Given: AB = 3x - 5 cm, BC = 2y-7 cm, CD = x + 7 cm and AD = y+ 3 cm. 1. What is the value of x? AB =…

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Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. If the length of diagonal AC is 12, what is the…

A: Using the given information, draw a rhombus and label it. In a rhombus, the diagonals are…

Q: The perimeter of the parallelogram ABCD is 30 units and the length of the side AB is 9 units, find…

A: Perimeter of the parallelogram is =30 units Length of one side =9 units

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: 2r C

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Q: Given: PQRS with diagonals PR and SQ intersecting at T. (Refer to figure below. Answer  letters A,…

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Q: In rectangle ABCD, AD 12 and A DC 5. Find the length of diagonal АС B

A: Given: In rectangle ABCD, AD = 12 and DC = 5.

Q: The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and QS = 10 , find RT. R 34°…

A: Given: m∠PTS=34° QS=10

Q: In rhombus ABCD., diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the…

A: In Rhombus ABCD  diagonals AC and BD intersect at the point E.AE=5cm and BE=12 cm To find the length…

Q: n a quadrilateral ABCD, AB=BD, BAD=70 degrees, BCD= 55 degrees and AD is parallel to BC. what is the…

A: This is a problem related to geometry.  Based on the formula and concepts for quadrilateral we will…

Q: The area of a rhombus is 215 sq. in. and one diagonal is 18 in. Find the other diagonal.

A: Refer to the question we need to find the length of diagonal if one of the diagonal's length is 18…

Q: If JOSE is a rhombus, JO=3x-5, and OS=13cm. What is the perimeter of JOSE?

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Q: r x. R (3x + 5)° (9x – 17)° - 'T

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Q: In rhombus MATH, ST= 3x +3, and MS = 5x - 2. Find MT. * M S. H 'T

A: In a Rhombus MATH, ST=3x+3 and MS=5x-2Rhombus: Four sides are equal Diagonal bisects each other

Q: The perimeter of AABC (not shown) is 47. If AB = ВС х, АС 3D х + 1, and = x 5, find x, AB, AC, and…

A: We have to find: x, AB, AC, and BC Where perimeter of the triangle is 47 for AB=x, AC=x+1 and…

Q: The following is an isosceles trapezoid. If AP = 7.5 feet and PC = 2.3 feet, find the length of the…

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Q: If AB= 2x + 1, DC = x + 5 and BC= 2x-1, find all the sides of parallelogram ABCD. Find its…

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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: 4. In parallelogram ABCD, if ED = 7x – 13 and BD = 16x – 38, find BD. E A

A: In the parallelogram, Both diagonals Bisect each other

Q: Find the length of side XY given the following parallelc За - 4 Y W a+2 O 5 O 6 O 44.5

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Q: The area of the rhombus is 132 square meters. If its shorter diagonal is 12m, find the longer…

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Q: If a triangle has lengths of 27m and 11m, check all the possible lengths for the third side. 39m 20m…

A: Given Triangle has length 27m and 11m we have to determine the length of third side

Q: In the accompanying diagram of triangle XYZ and triangle ABC, LX LA and ZY LB. If XY = 5, YZ 12, and…

A: Here the two angles of one triangle is congruent with angles of other triangle so we can say that…

Q: the measures of the three sides of a triangle are AB =30cm, AC=50cm, and BC=60cm. From a point D on…

A: Given The given sides of the ∆ABC are AB=30cm, AC=50cm and BC=60cm. D is the point on AB and E is…