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Valentin [98]
3 years ago
9

A solid has 16 faces and 14 vertices. How many edges does the solid have? A. 14 edges B. 18 edges C. 20 edges D. 28 edges

Mathematics
1 answer:
77julia77 [94]3 years ago
7 0
The formula to use is F +V -E = 2

F = Faces = 16
V = Vertices = 14
E = edges = Unknown

We can fill in the information we have and solve for edges:

16 + 14 - E = 2

Add 16 and 14:

30 - E = 2

E = 30-2

E = 28

There are 28 edges


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How do you simplify this
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Answer:

The three points that lie on a line y = -2/5x with a slope -2/5 will be:

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Please check the attached graph also.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

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Given

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We suppose the line passes through the origin.

so b = 0

substituting m = -2/5 and b = 0 in the slope-intercept form

y = mx+b

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Thus, the equation of line with the slope m = -2/5 and passes through the origin (0, 0) will be:

y = -2/5x

As the equation of line passes through (0, 0), thus the point (0, 0) lies on the line.

Putting x = 0 in the equation y = -2/5x

y = -2/5 × (0)

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Thus, (0, 0) is the point which also passes through the line

Putting x = 5 in the equation y = -2/5x

y = -2/5 × 5

y = -2

Thus, (5, -2) is the point which also passes through the line

Now, putting x = 10 in the equation y = -2/5x

y = -2/5 × 10

y = -4

Thus, (10, -4) is the point which also passes through the line.

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  • (10, -4)

Please check the attached graph also.

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= 8 - (-18)

= 8 + 18

= 26

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