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In-s [12.5K]
3 years ago
13

How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?

Mathematics
2 answers:
Paha777 [63]3 years ago
4 0

Answer:

Answer is 3, i had it for homework

Step-by-step explanation:

alexira [117]3 years ago
3 0

Answer:

The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles

Step-by-step explanation:

From the three dimensional shape of a cube, triangles can be constructed from;

1) 6 side faces

2) 4 front face to opposite vertices triangles

3) 4 rear face to opposite vertices triangles

Each face can produce ₄C₃ = 4 triangles

Therefore;

The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4  × 4 = 56 triangles

Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent

The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent

The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent

Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.

There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.

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Blababa [14]

Answer:

- 2m - 5m = 9m - 12 \\  ⟶   - 2m - 5m - 9m =  - 12 \\   ⟶  - 16m =  - 12 \\  ⟶  - m =  \frac{ - 12}{16}  \\  ⟶ - m =  \frac{ - 6}{8}  \\  ⟶ m =  - ( - \frac{6}{8} ) \\   ⟶m =  \frac{6}{8}

m=0.75

6 0
3 years ago
Read 2 more answers
Solve.and show your work
Marysya12 [62]

Answer:

a) x > − 24 \frac{3}{4}

b) x < − 3

c) q < 56

Step-by-step explanation:

a) −2/5x−9<9/10

<=> 2/5x + 9 > − 9/10

<=> 2/5x > − 9/10 − 9

<=> 2×2/2×5x > − 9/10 − 9×10/10

<=> 4/10x > − 99/10

<=> x > − 99/4

<=> x > − 24 \frac{3}{4}

b) 4x+6<−6

<=> 4x < − 6 − 6

<=> 4x < − 12

<=> x < − 12/4

<=> x < − 3

c) q+12−2(q−22)>0

<=> q+12−2q −2×(−22)>0

<=> (q−2q) + (12+ 44) >0

<=> −q + 56 >0

<=> q < 56

8 0
3 years ago
This is a dumb question but what is 68 time 100
Whitepunk [10]

68 x 100 = 6,800

Hope this helps

-AaronWiseIsBae

3 0
3 years ago
Read 2 more answers
Q#2 Graph the relation in the table.Then use the vertical-line test.Is the relation a function
tresset_1 [31]
The graph of the relation between x and y is as shown in attached figure

By applying the vertical line test we find that the relation is not a function because there are two points which are (1,-1) , (1,3) have the same value of x with different values of y which contradicts with with the rule of function.


5 0
3 years ago
Read 2 more answers
Find the distance between two points (5,10) and (-4,6)​
Helga [31]

Answer:

Explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

−

6

−

−

3

)

2

+

(

−

4

−

−

5

)

2

d

=

√

(

−

6

+

3

)

2

+

(

−

4

+

5

)

2

d = √ ( − 3 ) 2+ 1 2

d = √ 9+ 1

d = √ 10

Or

d = 3.162

rounded to the nearest thousandth

7 0
3 years ago
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