7. Find the number of vertices of a polyhedron
having 10 faces and 12 edges​

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Using Euler's rule for polyhedra

F + V - E = 2 ( F - faces, V- vertices, E- edges )

10 + V - 12 = 2

V - 2 = 2 ( add 2 to both sides )

V = 4


Related Questions

One number is seven more than a second number. Six times the first is 10 less than 2 times
the second. Find the numbers.

The value of the first number is ___.
The value of the second number is ___.

Answers

Answer:

Step-by-step explanation:

The first number is

13

and the second number is

6

Explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

7

for

n

in the second equation and solve for

m

:

2

(

m

7

)

=

6

m

+

10

2

m

14

=

6

m

+

10

2

m

14

2

m

10

=

6

m

+

10

2

m

10

14

10

=

6

m

2

m

24

=

4

m

24

4

=

4

m

4

m

=

6

Now substitute

6

for

m

in the first equation and calculate

n

:

n

=

6

7

n

=

13

PLEASE HELP ILL GIVE BRAINLESS IM GOING TO FAIL

Answers

x=20
AD= 23
DC= 23
AC= 46


The median means both sides of the line AC are equal.

Therefore: x+ 3 = 2x-17
and we can solve this for x

Subtract x from both sides
x-x = 2x-x -17
3 = x -17

Add 17 to both sides
3 +17 = x -17+17
20 = x

The length of AD is x + 3, replace x with 20:
20 + 3 = 23



The length of DC is the same as AD (because they’re separated by the median) so DC= 46

AC is the length of AD + DC,
23+23= 46.
AC= 46

Give the angle measure represented by 2 rotations clockwise.
a. -720°
c. -360°
d. 360°
b. 720°

Answers

Answer: B: 720

Step-by-step explanation: One turn is 360

Help me out please I’ll mark brainliest

Answers

I believe the answer is ASA

Triangle QRS is isosceles with m(∠R) = 107°. What is m(∠Q)

Answers

Answer:

36.5 degrees

Step-by-step explanation:

An isosceles triangle is a triangle in which two angles are equal

The sum of angles in the triangle is 180°

If one of the angles is 107°, the sum of the other two angles is (180° - 107°) 73°

The size of each of the two angles is 73/2 = 36.5°

Simplify: 5d + 3 + 2h + 1 + 3h + 2d

Answers

7d + 5h + 4

dhehshshep

Answer: 7d+5h+4

Step-by-step explanation: Combine Like Terms: 5d+3+2h+1+3h+2d

=(5d+2d)+(2h+3h)+(3+1)=7d+5h+4

Final Answer: 7d+5h+4

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D



(x + 1)^7
Use Pascal's Triangle and Binomial.Theorem

Answers

Answer:

x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1

Step-by-step explanation:

(x + 1)⁷: Pascal's Triangle for (a+b)⁷

a₇+7a⁶b+21a⁵b²+35a⁴b³+... + 7a¹b⁶ + b⁷

x⁷+7x⁶+21x⁵+35x⁴+35x³+21x²+7x+1

Laura bought a notebook and a pencil for $4.50. The notebook cost twice the amount of the pencil. On your worksheet, solve the question and write your answer below. . How much was the pencil and how much was the notebook

Answers

Answer:

n+p=4.50

n=2p

2p+p=4.5

2p=4.5

p=$1.5

n=$3

Step-by-step explanation:

Answer:

Pencil: $1.50

Notebook: $3

Step-by-step explanation:

n = cost of notebook

p = cost of pencil

n + p = 4.5

n = 2p

substitute n into the first equation

2p + p = 4.5

3p = 4.5

p = 1.5

n = 2p

n = 2(1.5)

n = 3

what is the common difference of the arithmetic sequence 5,8,11,14?

Answers

Answer:

3

Step-by-step explanation:

8-5= 3

11-8= 3

14-11= 3

Answer:

common difference = difference between two consecutive number in a given series

hence,

8-5=3

common difference =3

Jennifer and Chelsea each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jennifer spent $146 on 6 rose bushes and 14 geraniums. Chelsea spent $57 on 1 rose bush and 7 geraniums. What is the cost of one rose bush and the cost of one geranium?

Answers

Answer:

$15.00

Step-by-step explanation:

Suppose 1 rose bush costs r dollars,

Suppose 1 geranium costs g dollars.

Here are 2 equations:

1)6r+14g=146

3r+7g=73

2)r+7g=57

r=57-7g

Put 2) in 1)

3(57-7g)+7g=73

171-21g+7g=73

98=14g

g=7

r=8

7+8=$15.00

Hope I helped!

look (this is what 2 + 2 equals)

Answers

5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)

or 4

median of 410, 400, and 375

Answers

Answer:

400

Step-by-step explanation:

375 , 400, 410 (arrange in asc or des)

median = (middle num) = 400

Hope its right!

Answer:

400

Step-by-step explanation:

Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 146º

Step-by-step explanation:

opposite angles in a parallelogram are equal to each other, so x = 146º

what is the mean of this? 48, 12, 35, 57, 42, 15, 74, 29.
ILL GIVE U BRAINLYEST​

Answers

answer:

48 + 12 + 35 + 57 + 42 + 15 + 74 + 29 = 312

divide by number of numbers,

312 / 8 = 39

the mean is 39.

if correct, please mark the brainliest :)

Answer:

the mean is 39.

Step-by-step explanation:

Find the value of the expression.
•(- 12
1
4

Answers

Answer:

try mat.h way it will help

Step-by-step explanation:

please help I attached a picture ​

Answers

Answer:

option (3)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 12x + 7

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 12x

f(x) = x² + 2(- 6)x + 36 - 36 + 7

      = (x - 6)² - 29

with vertex (h, k ) = (6, - 29 )

Look at the information below, decide what type of substance the paint is.
ANSWER NEEDED ASAP

Answers

Answer:

A mixture?

Step-by-step explanation:

Fill in the missing term on each line. Simplify any fractions.
2d + 10 = 10
2d =
Subtract 10 from both sides
d =
Divide both sides by 2

Answers

the answer is,......

d = 0

There are 12 trees on the Smith’s property. The Smith’s plant some trees, and now there are 21 trees. How many trees t do the Smith’s plant?

Answers

Answer:

The Smith's planted 9 trees

Step-by-step explanation:

21-12=9

Because the Smith's ending amount is 21, and their beginning amount is 12 you subtract 21-12=9

Answer:

Well, there can be two answers. One of them can be 9, since they planted 9 MORE trees on top of the 12 already there. (21-12=9) The other answer can be 33 if you count all the trees they planted. (12+21=33)

Step-by-step explanation:

Which student below wrote an addition statement with the greatest sum,
and what is the sum?

Answers

Answer is patrick 14

Which expression is equivalent to 4(3+5) - 3•9^2

Answers

Answer:

se eu não me engano é 11.962962963 por ai agora pega esse numero e faz como expressão equivalente ok

Step-by-step explanation:

espero ter ajudado.

2x - 4 < 12
???????????

Answers

Answer: x < 8

Reason: I did some math

Answer:

x<8

Step-by-step explanation:

GIVING BRAINLIEST!!! please help
Match the graphs to the correct answer

Answers

Answer:

If i answer you have to give me brainliest and go to photomath.com it will tell you the answer

Step-by-step explanation:

Choose the numerical expression that matches the phrase.
Multiply 4 and 7, then add 3.
3 x 4 +7
Α.
B. 3 x 7 +4
C.4 x 7 + 3
D. 7 x 3 + 4​

Answers

Answer:

Multiple 4 and 7, then add 3 is equivalent to

C. 4 x 7 + 3

Answer:

C. 4 x 7 + 3

Step-by-step explanation:

→ Multiply 4 and 7

4 × 7

→ Then add 3

4 × 7 + 3

12 cos theta minus 16 sin theta is equal to zero find 2 sin theta + cos theta​

Answers

Answer:

2sinθ + cosθ = 2

Step-by-step explanation:

12 cos θ - 16 sinθ = 0

=> 3 cos θ -4 sin θ = 0

=> tanθ = 3/4

let P = 3x

B = 4x

=> H= 5x

=> sinθ = P/H = 3/5

cosθ = B/H = 4/5

2sinθ + cosθ

= 2× 3/5 + 4/5

= 6/5+4/5

= 10/5

= 2

=> 2sinθ + cosθ = 2

Answer:

2sinθ + cosθ = 2

Step-by-step explanation:

12 cos θ - 16 sinθ = 0

=> 3 cos θ -4 sin θ = 0

=> tanθ = 3/4

let P = 3x

B = 4x

=> H= 5x

=> sinθ = P/H = 3/5

cosθ = B/H = 4/5

2sinθ + cosθ

= 2× 3/5 + 4/5

= 6/5+4/5

= 10/5

= 2

The room shown below right is 14 ft by 10 ft. Find the dimensions of each piece of furniture to the nearest tenth . 16))

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the image file of the question:

The dresser dimension is:

[tex]L= 6.0 \ feet\\\\ W= 3.0 \ feet[/tex]

The bed dimension is:

[tex]L = 7.1\ feet\\\\W = 5.7\ feet[/tex]

 The table dimension is:

[tex]L = 2.8 \ feet\\\\W= 2.8 \ feet[/tex]

Angle 3 is equal to angle

Answers

Answer Equal to angle 5

Directions:
1. Determine which type of angles are shown.
2. Then find the measure of the missing angles.

Answers

1. obtuse angle is shown, 45° is missing.
2. obtuse angle is shown, 29° is missing.
3. acute angle is shown, 65° is missing.
4. acute angle is shown, 40° is missing.
5. acute angle is shown, 42° is missing.
6. acute angle is shown, 100° is missing.
7 an obtuse angle and a acute angle are shown, 54° (for number 1) and 126° (for number 2) are missing.
8. an obtuse and a acute angle are shown, 45° (for 1) and 135° (for 2) are missing.

What is the value of X in the diagram below round to the nearest hundredths

Answers

b ) 22

11/9 = x/18

9x = 198

x = 22

What part of 18 is 1

Answers

Answer:

1 / 18 = 5.555555555556%

Step-by-step explanation:

hope it helps

The  [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.

Fraction:

Let us consider that x part of 18 is equal to 1.

So that,

               [tex]x*18=1\\\\x=\frac{1}{18}[/tex]

Therefore, [tex]\frac{1}{18}th[/tex] part of 18 is equal to 1.

Learn more about the fraction here:

https://brainly.com/question/78672

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