All categories

2 years ago

How many edges does a polyhedron with 8 faces and 12 vertices have?

Mathematics

2 answers:

Savatey [412]2 years ago

7 0

Answer:

18 edges

Step-by-step explanation:

v-e+f=2

number of vertices(12) - number of edges (18) + number of faces(8) = 2

lakkis [162]2 years ago

7 0

Answer:

Edges = 18

Step-by-step explanation:

We know that

v - e + f = 2

Where,

v = vertices

e = edge

f = faces

So,

12 - e + 8 = 2

20 - e = 2

20 - 2 = e

18 = e

You might be interested in

40 points, please help with all of them

Kitty [74]

Answer:

$\large\boxed{Q1.\ \text{2 times greater}}\\\\\boxed{Q2.\ J. 3}\\\\\boxed{Q3.\ B. -\dfrac{4}{5}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Q1.

We have the equation of a line p in the standard form

$4x-3y=7$

Convert to the slope-intercept form:

$4x-3y=7$ subtract 3x from both sides

$-3y=-4x+7$ divide both sides by (-3)

$y=\dfrac{4}{3}x-\dfrac{7}{3}$

The slope $m_1=\dfrac{4}{3}$

From the table we have the points (4, 3) and (7, 5). Calculate the slope of line q:

$m_2=\dfrac{5-3}{7-4}=\dfrac{2}{3}$

Divide the slope of p by the slope of q:

$\dfrac{4}{3}:\dfrac{2}{3}=\dfrac{4}{3}\cdot\dfrac{3}{2}=2$

Q2.

Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

$y=3x+2\to m=3$

Q3.

Parallel line have the same slope.

Calculate the slope from given points (-11, 5) and (-6, 1):

$y=\dfrac{1-5}{-6-(-11)}=\dfrac{-4}{-6+11}=\dfrac{-4}{5}=-\dfrac{4}{5}$

6 0

2 years ago

Explain how you can solve the following scenario in two different ways. I owe my friend $16 and my mom owes me $25. how much mon

matrenka [14]

Answer:

Step-by-step explanation:

Given I owe my friend $16 and my mom owes me $25

step 1-->take back money from mom

Mom gives back you $25

Now you have $25

Step 2: return the money you owe to friend

you owe $16

You have $25 and return $16

Thus , money you will have = money you have - money you return

money you have = $25 - $16 = $9

Thus, you will have $9 , after all is settled.

7 0

2 years ago

Find intercepts of: 3x-3y+9=0 X-intercept as a ordered pair Y-intercept as a ordered pairr

ahrayia [7]

3x - 3y + 9 = 0

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.

To solve for the y-intercept, set x = 0:

3(0) - 3y + 9 = 0
3(0) - 3y + 9 = 0

Subtract 9 from both sides:
- 3y + 9 - 9 = 0 - 9
- 3y = -9
Divide both sides by -3 to solve for y:

-3y/-3 = -9/-3
y = 3

Therefore, the y-intercept is (0, 3).

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0). It is also the value of x when y = 0.

To solve for the x-intercept, set y = 0:

3x - 3(0)+ 9 = 0
3x -0 + 9 = 0

Subtract 9 from both sides:
3x + 9 - 9 = 0 - 9
3x = -9

Divide both sides by 3 to solve for x:

3x/3 = -9/3
x = -3

Therefore, the x-intercept is (-3,0).

The correct answers are:
Y-intercept = (0, 3)
X-intercept = (-3, 0)

7 0

2 years ago

which one of the following proportions is true for the segments shown in the figure if lines a B and C are parallel to each othe

ycow [4]

I believe it is A because line segment AC is equal to line segment BD, and AE and BF are also the same

5 0

3 years ago

77 7/8% into a fraction

wariber [46]

The answer is 623/800 and that is in simplest form.

3 0

2 years ago