16) A high school wants to hold a 1500-meter regatta on Lake Powell but is unsure if the lake is long enough. To measure the distance across the lake, the crew members locate the vertices of the triangles below and find the measures of the lengths of AHJK as shown below. 2093.4 m Lake Powell 1350 m 1600 m

Q: Find the Perimeter and area of a trapezoid with vertices at A(2,3), B(6,3), C(0,-1), and D(8,-1).

A:

Q: Find the perimeter of an isosceles triangle with a base of 8 and a vertex angle of 20 degrees

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Q: Using diagonals from a common vertex, how many triangles could be formed from an 18-gon?

A: Using diagonals from a common vertex, how many triangles could be formed from an 18-gon?

Q: Can the sides of a triangle have lengths 13, 2, and 2?

A: To check: If a triangle can have length as 2, 2, 13.

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Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(-3, 1) , (3, 4) ,…

A: Given:       Vertices of triangle -3,1 , 3,4 , -1,-3       For perimeter of triangle , we have to…

Q: 8. Draw perpendicular bisectors for each of the 4 sides of the rectangle below, using the fewest…

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Q: The sides of a bigger polygon are 4 m, 6 m, 7 m, 13 m, and 18 m. A similar smaller polygon has a…

A: Ratio of the perimeter is tha same as the scalar factor.

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A: Given: History of math-Philolaus called the cube a geometric harmony" because of the number of it's…

Q: 25. The frustum of a regular triangular pyramid has quadrilateral triangles for its bases and has an…

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Q: 13. Find the altitude of the equilateral triangle whose side equals 10 in. See figure 76. *

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Q: If the height of an equilateral triangle is 7/3, then the length of its side is

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Q: 1. Complete the following diagram by writing the name of the quadrilateral that goes in each box.…

A: Consider

Q: Cyrus, Ray and Bily visited the playground where their friends made a triangle out of string 9.5 m,…

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Q: Find the perimeter and area of the polygon with the given vertices. If necessary, round to the…

A: Area of triangle = (1/2)*base*height Perimeter of triangle = sum of length of all three sides.

Q: If the height of an equilateral triangle is 5/3, then the length of its side is

A: Given : Height = 5√3

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A: Given polyhedron, To be found : Total number of polyhedron

Q: What is name of the line segment connecting two non-consecutive vertices of a polygon? Base Leg Side…

A: Take any polynomial

Q: The two longer sides of a triangle are 24 and 25. a. What would be the length of the third side to…

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Q: **3) What are the lengths of sides m and n? *

A: In given triangle "

Q: A rectangle ABCD which measures 18 centimeters by 24 centimeters is folded once perpendicular to…

A: SOLUTION: Let ∠DCA=θ; tanθ=18/24=3/4 AC=18^2+24^2=30 Length of crease = AC*tanθ=30*(3/4)=22.5…

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Q: Can a polyhedron have 3 faces, 4 vertices, and 5 edges? Explain.

A: Euler's formula for a polyhedron  For any polyhedron F+V-E=2 Where  F = number of faces  V = number…

Q: What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? O 43 O 45 O…

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Q: From a point outside an equilateral triangle, the distances to the vertices are 10 m, 18 m, and 10 m…

A: From a point outside an equilateral triangle, the distances to the vertices are 10 m, 18 m, and 10 m…

Q: 5. Omar is putting up Christmas lights around his triangu and 37°. The side joining these vertices…

A: Here we will use the sine rule for triangle to find the lengths of sides of triangle

Q: can a triangle with the side length of 3 m 4 m and 5 m make a unique triangle , more than one…

A: Given: A triangle with the side length of 3m , 4m and 5m. To write: Can a triangle with given side…

Q: is it possible to form a triangle with side lengths of 2ft, 20in, and 8in

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Q: 4. Name the two isosceles triangles. 5. What are the 3 pairs of congruent triangles?

A: We can answer question no 4 and 5 as below

Q: What is the distance in cm between two vertices of a cube which are farthest from each other if the…

A: We need to find the distance between  two vertices of a cube which are farthest from each  other if…

Q: What is the area of the triangle ABC with vertices A(1,2,3), B(2, 4, 3), C(1,2, 0) ?

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A: If all the vertices of an inscribed quadrilateral are on the diameter, then the diagonals of the…

Q: 11. The drawing below shows the dimensions of Kim's kite. 30 cm2 12 cm 48 cm2 2 cm 96 cm2 12 cm If…

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Q: if a triangle has side lengths of 6, 6.7 and 3, which side is the hypotenuse?

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Q: 10. What is the midpoint of the longest side of the triangle with vertices A(1, 4), B(3, 4) and C(3,…

A: first we will draw the triangle then find the mid point of the larger side

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Q: In the accompanying diagram, quadrilateral ABCD is inscribed in circle O. mAB=132°, m

A: Given:

Q: How many vertices does a hexahedron have ?

A: A hexahedron, as the name suggests, is a six faced polyhedron. A cube is an example of a hexahedron

Q: The area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6)  To determine: Area of a triangle.

Q: A(0, 4), B(3, 5), C(-1,4)

A: We can find the area of triangle by applying the area law of triangles.

Q: For the polyhedron, use Euler's Formula to find the missing number. faces: 8 edges: vertices: 6

A: Euler's formula is: F+V=E+2

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A: we have to determine whether ∆ABC, with vertices A(0,0,0), B(1,2,4) and C(0,0,8) is an isosceles…

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Q: A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does it…

A: Given:A  solid is  an octagonal prism   Octagonal prism has10 faces24 edges16 vertices

Q: How many triangles can be formed by joining the vertices of an octagon? * 120 О 112 О 28 О 56

A:

Q: 5. What is the length of the missing side of the triangle?

A: Given,          A triangle is shown below :

Q: Find the number of vertices, edges, and faces of the given polyhedron

A: Vertices: The  corners Faces: The sides of the shape Edges: Where the faces meet