A goldsmith designed a trapezoidal pendant as shown in the figure below. If the perpendicular distance between AB and CD is 6 centimeters and the area of pendant ABCD is 42 square centimeters, find the length of side CD. 6 cm 6 ст 8 cm

Q: In rectangle ABCD, AB = 5 and BC =4. As a square root, find the length of diagonal AC.

A:

Q: find the area of a right trapezoid whose parallel sides measures 8cm and 11 cm with one of the…

A: Calculate the area of trapezoid:  A=12×11+8×11-8tan60o     =32112-82     =5732     ≈49.363 sq cm…

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

A:

Q: The sum of the interior angle measures of a polygon is 3,420°. How many sides does the polygon have?

A: Given, The sum of the interior angle measures of a polygon is 3,420°. To find: the number of sides…

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: Find the number of sides of a regular polygon that has a central angle measuring a) 90°. c) 60°. d)…

A: We have to find number of sides of a regular polygon that has a measure of central angle: a)  90°…

Q: The heights of two right prisms are 18 ft and 30 ft. The bases are squareswith sides 8 ft and 15 ft,…

A: Given, The heights of two right prisms are 18 ft and 30 ft. The bases are squareswith sides 8 ft and…

Q: Consider the quadrilateral below. 23 W 112° 23 Y What is the measure of angle Z?

A:

Q: Given that AB is a diameter of circle O and mAD = 130", what is the measure of ZD 130

A:

Q: Consider the quadrilateral below. 23 W 112° X 23 Y What is the measure of angle Z?

A:

Q: Construct a quadrilateral ABCD having AB = 3 cm, BC = 5 cm, CD = 6 cm, AD = 4 cm, BD = 6 cm and…

A:

Q: Find the missing side length and angles of AABC given that mZB = 59°, a = 10, and c = 12.

A: Recall:  Cosine Rule:    b2=a2+c2-2ac cosB ⇒b=a2+c2-2ac cosB We have, a=10, c=12, B=59°

Q: Use Pythagoras' theorem to find the exact length of the missing side, c. 1 45° 1

A: Given,         A right triangle ABC is shown below :

Q: Given that AB is a diameter of circle O and mAD = 130°, what is the measure of ZDAB? %3D C 130 VB…

A:

Q: Construct a rectangle with sides of lengths c and d.

A: Given

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We will find the smallest possible length of one of the 2 congruent sides as following.

Q: With sides 9, 10, 11, and 12 mm, determine the area of the quadrilateral, assuming that the sum of…

A: Here we have to find the area of the quadrilateral.

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

A:

Q: A right section of an oblique prism is a hexagon whose sides are 3cm, 4 cm, 4 cm, 5 cm, 6 cm, and 7…

A:

Q: Find the missing side length and angles of AABC given that mLA = 41°, b = 4, and c = 10. B 10 41° а

A:

Q: The Pythagorean Theorem states that in any equals triangle, the sum of the squares of the lengths of…

A: The Pythagorean Theorem states that in any ________ triangle, the sum of the squares of the lengths…

Q: Does a rectangle have (a) an incenter? (b) a circumcenter?

A: Given, Does a rectangle have an incenter? The incircle is the circle lies inside the certain…

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

A:

Q: The length of the base of isosceles triangle is 24 cm and the length of the leg is 20 cm. Deter the…

A:

Q: What is the name of the figure below if all of the side lengths are congruent? Equilateral triangle…

A: The given figure has the six equal sides. And the figure is congruent that is angle and sides are…

Q: Find the number of sides for a regular polygon whose exterior angles each measure: a) 45° b) 9°

A: We know in a regular polygon the sum of all exterior angles is 360 degrees. Therefore the number of…

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: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone measures 5 in. The altitude of the cone…

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

A:

Q: Consider the quadrilateral below. 23 W 112 23 Y What is the measure of angle Z?

A:

Q: Each exterior angle of a regular polygon has a measure of 30 . What is the total number of sides of…

A: Given, A polygon has exterior angle of measure 30°

Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We are asked to find the missing sides of the triangle.

Q: A landowner says that his property is triangular, with one side 475 m long and another side 350 m…

A: We need to find possible lengths of triangles.

Q: The bases of a trapezoid are 48m and 98m and a height of 61.02m. The angles at the ends of the…

A: Area is the space covered by the object or any geometric figure. It is the region bounded by the…

Q: The top and bottom ends of a wind- shield wiper blade are 34 in. and 14 in., respectively, from the…

A:

Q: In A PEN, mL P = 40 and mN = 80. Which side of the triangle is the longest?

A:

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

A:

Q: 41 21 %3D

A: Use the properties of parallelogram and also properties of sum of angles of a triangle.

Q: The perimeter of a rhombus is 64 and one of its angles has measure 120. Find the lengths of the…

A: Given that, The perimeter of a rhombus is 64 and one of its angles has measure 120.  To find the…

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

A:

Q: Find the perimeter of a right trapezoid whose parallel sides measures 8cm and 11cm with one of the…

A: Given information: The objective is to find the perimeter of a right trapezoid whose parallel sides…

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

A:

Q: The top and bottom ends of a wind- shield wiper blade are 34 in. and 14 in., respectively, from the…

A: It is given that the top and bottom ends of a wind shield wiper blade are 34 in. and 14 in. So,…

Q: Find the values of x and y that make the quadrilateral a parallelogram. 66° 114 X=

A: Sum of adjacent angles of parallelogram is always 180°

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

A: area of trapezium problem.....

Q: The diagonals of a parallelogram measure 31m and 45 cm. If they intersect at an angle of 48°,…

A: The diagonals of a parallelogram measure 31m and 45 cm. they intersect at an angle of 48°

Q: Find the area of the parallelogram. 2.4 in 4.4 in 5 in The area is Lin?.

A: we have to find the area of the parallelogram

Q: In a triangular-shaped lot ABC, the two sides and the included angle are CA=90.95 m, BC=73.80 m, and…

A: