a rectangle ABCD, M is the midpoint of AB, N the midpoint of BC, and P is the midpoint of D. What is the ratio of the area of A MNP to ne area of rectangle AMPD? Draw the figure.

Q: What is the length of side Y to Z in the sketch shown below?

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Q: The hexagon ABCDEF is regular. That means all of its sides are of the same length and all of its…

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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: The basic edges of a hair triangular prism are 10 cm. 17 cm and 21 cm. Calculate the area of a…

A: To find the area of intersection of the prism, use the formula for the area of a triangle,…

Q: Let AABC be a triangle and let D be a point on the side BC. Prove that the ratio of the areas of…

A: Sketch the triangle ABC.

Q: /2. The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the sides of two regular pentagons are 2 in and 7 in.  So their sides are in ratio of 2:7…

Q: If the area of AABC is 56in2, and if DB = 10in and CD = 4in, what is the length of AD? A C D В

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Q: The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in². What…

A: given: the approximate area of a triangle with sides of lengths 3in. , 5in. ,and 6 in. is 7.48 in.2…

Q: 6. Calculate the area of a regular octagon, if each side is 5 cm and the width across the flats is…

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

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Q: What is the area of the regular pentagon with a side (s) equal to 20 in.? (Assume a = 13.76 in.)…

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Q: Find the volume of the frustum. Round to the nearest 10th. (Hint: Use similar triangles, and then…

A: We are given with the diagram and we have to calculate the volume of the frustum of cone. We have to…

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: a. find the area of a regular decagon inscribed in a circle whose radius is 4meters. b. The…

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

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Q: If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area…

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Q: The measure of each inte- rior angle of a regular polygon is 162°. How many sides does the reg- ular…

A: We will make use of the following properties of a polygon The measure of exterior angle is equal to…

Q: What is the area of a regular hexagon with an apothem of 2.6 cm and a side length of 3 cm? O 23.4…

A: Given  Apothem of regular hexagon = 2.6cm side length = 3 cm

Q: 2. What is the area of the shaded region created by segment BC? 9 cm 85° 5.7 cm 7.3 cm A 12.89…

A: We need to find the area of the shaded part.

Q: An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is area of the triangle?

A: Then using Pythagorean theorem we find the height of the triangle . Pythagorean theorem is given…

Q: The composite figure below contains a rectangle, an isosceles trapezoid, and two equal parts of a…

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Q: The area of an equilateral triangle with sides of length s is given by A O True = A = √2. False

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Q: (a) How do you find the area of the parallelogram determined by a and b?(b) How do you find the…

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Q: In a regular n-gon, the area is 700 cm^2, the apothem is 10 cm, and each side is 7 cm. The perimeter…

A: The formula for the area of a n-gon is 12ap ,  where a=apothem and p=perimeter. Therefore by the…

Q: What is the area of a regular octagon with an apothem of 20.8 cm and a side length of 17.2 cm? O…

A: Solved given problem follow step below.

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

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

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Q: A regular pentagon has an apothem measuring 3 cm What is the area of the pentagon, rounded to the…

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Q: Find the area of the largest trapezoid that can be enclosed in a semicircle of radius 12 cm if the…

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Q: Supposed that an isosceles right triangle is inscribed in a semi-circle of radius 7 cm. What is the…

A: Area of a semicircle with radius= πr²/2 square units. Area of a right triangle =base*height/2 square…

Q: Find the area of the trapezoid. 0.6 in 2 in 2 in

A: Given, The parallel sides of the trapezoid is   0.6 in  and   2 in   Distance between parallel sides…

Q: What is the area of triangle APQR to the nearest tenth of a square meter? Drawing is not to scale.…

A: To determine the area of the triangle PQR to the nearest tenth of a square meter.

Q: A circle is dividedinto two parts by a chord, 3 cm away from the center. Find the area of the…

A: We know  Area of circle = πr2 r = radius of circle  we use Trigonometry ratios sin(Θ) =…

Q: Find the area of an equiangular triangle with a) a perimeter of 24.6 cm. b) a radius of length 4 in.

A: Given:                  Perimeter of the equiangular triangle:= 24.6 cm                  Radius of…

Q: 10. What is the area of a sector, in terms of n, with a central angle of and a diameter of 16 cm?

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Q: A triangle having an area of 22.62 cm2 is inscribed in a circle whose radius is 6 cm. If one of the…

A: Given query is to find perimeter of the triangle.

Q: In rhombus MNPQ (not shhown), MN=25 cm and NQ = 14 cm. Find area of the rhombus.

A: Since,it is known that the area of rhombus with a side and a diagonal is defined as…

Q: What is the ratio of the areas of ΔΑBC to ΔΑ'Β'C '? AA'B'C' is the image of AABC after dilation. 24…

A: If the sides of two similar triangles has dilation factor k, then their areas will be in the ratio…

Q: If AB = 9 and CD = 12, find the ratio of the areas of: b. AAED and ADEC a. AAEB and ADEC

A: (a) Given- AB=9 cm and CD= 12 cm To find -  The ratio of (a) △AEB and △DEC . Identity Used-…

Q: Find the area of the figure. (Sides meet at right angles.) 9 in 4 in 5 in В in 5 in

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Q: If the pyramids below are similar, what is the ratio of the surface area?

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Q: Given that AB || DE , what is the ratio of the area of triangle CDE to the area of triangle CBA?…

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Q: A hexagon is inscribed in a circle. If the difference between the area of the circle and the area of…

A: The side of the hexagon and the radius of the circle will be the same, consider a. The difference in…

Q: A triangle has side lengths of 8 cm, 9 cm, and 14 cm. OClassify it as acute, obtuse, or right. A.…

A: Ans (1) we have given side lengths of a triangle8 cm , 9 cm , 14 cm⇒ Let a = 8, B= 9, c=14⇒Adding…

Q: Consider the triangle shown in the figure. y (cm) 11 10 8 7 6 5 4 3 2 1 0 012 3 4 5 6 7 89 10 11 x…

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Q: What is the area of a regular decagon with an apothem of 3.8 cm and a side length of 2.5 cm? O 47.5…

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Q: What is the area of a regular octagon with an apothem of 9.3 cm and a side length of 7.7 cm? O…

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Q: ABCD is a trapezoid with bases 4 cm and 12 cm, as shown. Find the ratio of the areas of: D 4 cm C a.…

A: ABCD is a trapezoid with bases 4 cm and 12 cm as shown in the figure

Q: What is the area of the fiqure below? given that each side of the regular hexagon has length 43.8cm…

A: Solution ) area of the regular hexagon with apothem A  = 1/2 × a × p       [   a = apothem…

Q: A quadrilateral ABCD is inscribed in a circle having a diameter AD=8.224 cm. If AB=2cm, BC=4cm, and…

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