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Harlamova29_29 [7]
3 years ago
10

The diagram shows a regular dodecagon. Work out the size of one interior angle

Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

150

Step-by-step explanation:

taurus [48]3 years ago
4 0

9514 1404 393

Answer:

  150°

Step-by-step explanation:

The size of one interior angle of a regular n-gon is ...

  interior angle = 180° - 360°/n

For n=12, this measure is ...

  = 180° -360°/12 = 180° -30°

  interior angle = 150°

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Find the measure of each angle and tell which postulates or theorems you used <br> ?
Illusion [34]

Answer:

∠6=78° ∠7=102° ∠14=78°

Step-by-step explanation:

Angles 6 and 7 are supplementary angles so ∠a+∠b=180°

in this case it would be 102°+x=180° and you subtract 102° from 180° getting 78°

∠7 is the vertical angles postulate stating that any angles vertical to each other are eaqual

7 0
3 years ago
One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i
Mkey [24]

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Find the value of the constant of proportionality in each table

Table A

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-3 ------>k=-3/-1=3  

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-2 ------>k=-2/-1=2  

For x=1, y=3 ------>k=3/1=3  

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-2 ------>k=-2/-1=2  

For x=1, y=2 ------>k=2/1=2  

For x=2, y=4 ------>k=4/2=2  

This table has the same value of k

therefore

the table C  represent a proportional relationship

Table D

For x=-2, y=-4 ------>k=-4/-2=2  

For x=-1, y=-2 ------>k=-2/-1=2  

For x=1, y=2 ------>k=2/1=2  

For x=2, y=6 ------>k=6/2=3  

This table has different values of k

therefore

the table D does not represent a proportional relationship

3 0
3 years ago
Read 2 more answers
Subtract this please ​
cupoosta [38]

Answer:

B. 3x^2 - 13x + 7

Step-by-step explanation:

6x^2 - 5x + 3 - (3x^2 + 8x - 4)

6x^2 - 5x + 3 - 3x^2 - 8x + 4

3x^2 - 13x + 7

4 0
3 years ago
Read 2 more answers
A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?
Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ 18\frac{1}{6} feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = 5\frac{1}{3}\ feet

Width of the box = 3\frac{3}{4}\ feet

Perimeter of a rectangle = 2(l+w)

where l represents length of rectangle and w represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = 2(5\frac{1}{3}+3\frac{3}{4})\ feet

Simplifying by adding fractions:

⇒  2(5+3+\frac{1}{3}+\frac{3}{4})\ feet (Adding whole numbers and fractions separately)

⇒  2(8+\frac{1}{3}+\frac{3}{4}) feet

Whole number 8 can be written as \frac{8}{1}

⇒  2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4}) feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒  2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3}) feet

⇒  2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12}) feet

Then we simply add numerators.

⇒  2(\frac{96+4+9}{12}) feet

⇒  2(\frac{109}{12}) feet

⇒  2\times \frac{109}{12} feet

⇒  \frac{218}{12} feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ 18\frac{2}{12} feet

Simplifying fractions to simplest form.

⇒ 18\frac{1}{6} feet

Perimeter =⇒ 18\frac{1}{6} feet  (Answer)

5 0
3 years ago
Explain why the ratio 3 feet / 1 yard has a value of one
cluponka [151]
Because There are 3 feet in 1 yard, so 3 feet and 1 yard are the same thing, hence a 1:1 ratio.
6 0
3 years ago
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