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aksik [14]
3 years ago
13

Pls help?? A 3D shape has the net shown below.

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

This question is incomplete because it lacks the picture of the appropriate diagram.

Find attached the diagram of the 3D shape.

Answer:

Edges: 6

Faces: 7

Vertices : 6

Step-by-step explanation:

3 Dimensonal (3D) shapes are shaped such that have faces, edges and vertices. From the numbers of faces, edges and vertices a 3D image has, you can tell or determine the type of solid shape it is.

Face: A face is the flat surface of a solid figure. Faces of 3D shapes comes in various forms such as triangles, rectangles, and pentagons.

Edge: An edge is defined as the straight line where two faces are connected to each other.

Vertices or a vertex: This can be defined as the point where edges connect or meet.

The 3D image in the question has :

6 Edges, 7 faces and 6 Vertices

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R isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.

Step-by-step explanation:

Let S denote a set of elements. S \times S would denote the set of all ordered pairs of elements of S\!.

For example, with S = \lbrace 1,\, 2,\, 3 \rbrace, (3,\, 2) and (2,\, 3) are both members of S \times S. However, (3,\, 2) \ne (2,\, 3) because the pairs are ordered.

A relation R on S\! is a subset of S \times S. For any two elementsa,\, b \in S, a \sim b if and only if the ordered pair (a,\, b) is in R\!.

 

A relation R on set S is an equivalence relation if it satisfies the following:

  • Reflexivity: for any a \in S, the relation R needs to ensure that a \sim a (that is: (a,\, a) \in R.)
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  • Transitivity: for any a,\, b,\, c \in S, if a \sim b and b \sim c, then a \sim c. In other words, if (a,\, b) and (b,\, c) are both in R, then (a,\, c) also needs to be in R\!.

The relation R (on S = \lbrace 1,\, 2,\, 3 \rbrace) in this question is indeed reflexive. (1,\, 1), (2,\, 2), and (3,\, 3) (one pair for each element of S) are all elements of R\!.

R isn't symmetric. (2,\, 3) \in R but (3,\, 2) \not \in R (the pairs in \! R are all ordered.) In other words, 3 isn't equivalent to 2 under R\! even though 2 \sim 3.

Neither is R transitive. (3,\, 1) \in R and (1,\, 2) \in R. However, (3,\, 2) \not \in R. In other words, under relation R\!, 3 \sim 1 and 1 \sim 2 does not imply 3 \sim 2.

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