Constructible polygons

Construct a regular pentagon

Construction polygons

Give instructions for constructing a regular dodecagan (12-Gon)

Critical Thinking

Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student. - Art, Bev, and Cheryl have not yet completed . - Bev is one year ahead of Ed - Ed is not a freshman - Art is in a hi ...continues

Equilateral triangle - An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. what are the coordinates of the third vertex?

An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. what are the coordinates of the third vertex?

Show that the given two isosceles triangles are similar triangles also.

Please give a through explanation to the following. thank you Answer true or false. a. If each of two isosceles triangles has an angle that measures 120 degrees, then the two isosceles triangles must be similiar. b. If each of two isosceles triangles has an angle that measures 40 degrees, then the two isosceles triangles m ...continues

Length of hypotenuse

Please solve and explain. 1.A telephone pole 35ft. tall has a guy wire attached to it 5 ft. from the top and tied to a ring on the ground 15 feet from the base of the pole. Assume that an extra 2 feet of wire are needed the wire to the ring and the pole. What length of wire is needed for the job? Give an answer to the near ...continues

Proofs - Give an indirect proof of the theorem. 1. If two lines are parallel to a third line then they are parallel to each other 2. Solve the equation S=(n-2) 180 degrees for n when S is a given value. Find the number of sides of the polygon ( if possible) if the given value corresponds to the number of degrees in the sum of the interior angles of a polygon.

Give an indirect proof of the theorem. 1. If two lines are parallel to a third line then they are parallel to each other 2. Solve the equation S=(n-2) 180 degrees for n when S is a given value. Find the number of sides of the polygon ( if possible) if the given value corresponds to the number of degrees in the sum of the in ...continues

Word problems

Please give a thorough explanation. Thanks. 1.Is it possible to have a triangle with sides measuring 10ft, 12 ft, and 23 ft.? 2.A mountain road is inclined 30 degrees with the horizontal, if a pick-up truck drives 2 mi. on this road , what change in altitude has been achieved?

Vertex figures and arrangements

Please explain. Another definition of a regular tessellation is one whose vertex figures are identical regular polygons. A vertex figure is made by connecting the midpoints of all the edges which touch a given vertex. (1) Sketch the vertex figures for the regular semiregular tessellation of the plane and verify the def ...continues

Tessellations of the Plane

Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done? (2) Find ( and describe) all the semiregular tessellations of the plane ( you wi ...continues