given a cube whose edge is a cm find  1- the angle between the digonal of the cube and the digonal of any one of it is faces   2- show that the angle between any adjacent sides is 90  3- the area of any face of the cube

Q: Find the measure of each interior angle and each exterior angle of a regular 15-gon (a fifteen-sided…

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Q: Which of these is a solid figure with flat faces, identical bases, and the same cross section all…

A: Here we have to determine the solid figure with flat faces, identical bases, and the same…

Q: 1. PORST is a pentagon inscribed in a circle. If ZRPS = 30°, ZQSR = 32°,ZPQS = 68° and SR = TS, find…

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Q: Find the interior angle for aach imagular polygon. 21 11 105° 130 Sum of the inturior angles Sum of…

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Q: Given a pentagon with radius of 17, find the area. Round to the nearest hundredth.

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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: a) Find the measure of each interior angle of a regular polygon with 15 sides. b) Find the number of…

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

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Q: 15. Based on the markings shown in the following figures, are The triangles congruent? оое Yes No…

A: We are given with two triangles such that one side of each triangle is equal to another side of the…

Q: Each exterior angle of a regular polygon has the measure 8°. How many sides does the polygon have?…

A: The formula for  measuring the  exterior angle  of a regular polygon, where n is the number of sides…

Q: Given regular pentagon RSTVQ and equilateral triangle PQR, the length of an apothem (not shown) of…

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Q: The interior angles of an​ n-gon have an average measure of 150°. What is​ n?

A: If polygon with n sides then each angle can be expressed as n-2×1800n

Q: An interior angle of a regular polygon measures 165. If each side of the regular polygon measures 10…

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: A certain pyramid has a volume of 451.6680729 cubic meters. If one side of the base is 6.5m and the…

A: If one side of the base is 6.5m and the perpendicular distance from the base to the vertex is 6.25m.…

Q: . If two sides a and b and the included angle C are knownin a triangle, then the area K is found…

A: Two side a and b  and angle C of a triangle is given, we have to find formula for area of a triangle

Q: Consider a triangle with sides 3 cm, 4 cm, and x cm. Let g be the included angles of the sides with…

A: topic - trigonometric ratios

Q: Consider a triangle with sides 3 cm, 4 cm, and x cm. Let a be the included angles of the sides with…

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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: Find the base a of an isosceles triangle with the legs b such that the inscribed circle has the…

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Q: 5. Given: In circle 0, OA = 5, BC = 6, and CD = 4 Find: Area of Quadrilateral ABCD

A: (5).    Given: OA=5BC=6CD=4

Q: Find the area of a pentagon with an apothem of 7.3 and a side length of 10.6.

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Q: Find the area of the given polygon. 15 O 20 33 O 37 O 42 O none of the above

A: We have to find area of Polygon.

Q: 1. Five streets come together at a traffic circle, as shown below. The diameter of the circle…

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Q: The interior angle of a rhombus is 64o and the shorter diagonal is 24 cm. Compute the area of the…

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Q: Find the measure of each interior angle and each exterior angle of a regular 20-gon (a twenty-sided…

A: Let the measure of the interior angle of a regular n-sided polygon be θ and the measure of the…

Q: A rectangular prism and its dimensions are shown in the diagram. 2 in. 3.4 in. 8.2 in.

A: Rectangular prism is a cuboid   Total surface area (TSA) of a cuboid = 2(lb+bh+lh)  Given l=8.2in,…

Q: Find the sum of the measures of the interior angles of each convex polygon. 1.) Decagon = %3D 2.)…

A: Sum of the interior angles S =(n-2) × 180°

Q: A triangle has a perimeter of 40 and area of 60. Using A = 1/2rP, find the length of radius r for…

A: Given data: P=40 A=60

Q: Consider a triangle with sides 3 cm, 4 cm, and y cm. Let a be the included angles of the sides with…

A: Trignometry.

Q: What is the formula for the circumference C of a circle ofradius r? What is the formula for the area…

A: The formula for the circumference C of a circle of radius 'r' is given as follows -  C = 2πr

Q: Given is a regular hexagon with the side a into which is inscribed a circle; find the area between…

A: Given is a regular hexagon with the side a into which is inscribed a circle.

Q: 4. Whal 13 LI 5. Each interior angle of a regular polygon measures 160°. How many sides does the…

A: Question 5 : As Many Questions are given , I will solve only one : It is Given that the interior…

Q: A circle is inscribed in a triangle having sides of lengths 6 in., 8 in., and 10 in. If the length…

A: Given that, the lengths of sides of a triangle are 6 in., 8 in. and 10 in. Let the sides of the…

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: Please help. Explain it clearly and easy to understand (*showing step by step.)

A: ABC is an isosceles triangle,   base AB = 16in   altitude CE = 6in.   The congruent legs are AC = BC…

Q: In figure A, a circle is inscribed in a square. In figure B, 4 congruent circles are inscribed in a…

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Q: Find the missing dimension of the triangle. 1.5 in. h Area = 2 in.2 h = in.

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Q: 1. Use similar triangles to find the lengths labeled x, y, and z. Show all your work! B 15 8 A D AC…

A: In this question we have to find the value of x, y and z.

Q: Each interior angle of a regular polygon has a measure of 162°. The polygon has a total of how many…

A: Using formula

Q: 3. Find the dihedral angle formed by any two adjacent faces of a regular octahedron if one edge is…

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Q: Given: ARST and the side lengths: RS = 14 in, ST = 10 in, and TR = 16 in. Determine which angles of…

A: Given- RS=14 In ST= 10 In TR= 16 In

Q: Find the measure of a central angle of a regular polygon with the given number of sides. Round to…

A: We have to find central angle

Q: Consider a triangle with sides 3 cm, 4 cm, and x cm. Let a be the included angles of the sides with…

A: Area of a triangle is maximum when one of the angle is 90 degree

Q: (a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle, (b)…

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Q: Determine the radius of the circle if its diameter is one of the sides of a cyclic quadrilateral.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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: 8. Find the missing side of a right triangle if A. Area = 20 cm?, height = 10 cm %3D B. Area = 46…

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Q: A sector of a circle with radius of 5 cm has an area of 50 cm2. What is the angle (in degrees) at…

A: The area of sector is given by, A=θ3600×πr2 Where θ is angle made by the sector at the center and r…

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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Q: Consider a triangle with sides 3 cm, 4 cm, and cm. Let , be the included angles of the sides with…

A: Given, b= 3 c= 4 theta=?