Mathematics, 28.06.2021 01:00 bskyeb14579

This diagram shows a regular dodecagon (12 sides). a) Work out the size of of one interior angle.

b) Work out the size of one exterior angle.

Answers: 3

Show answers

Answers

Answer from: Quest

b. 2 and 4

step-by-step explanation:

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Answer from: Quest

$x=2\sqrt{10}$

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

$6^2+2^2=x^2$

simplifying:

$6^2+2^2=x^2\\36+4=x^2\\40=x^2\\x=\sqrt{40}$

to further simplify this radical, we need to use the property $\sqrt{x*y}=\sqrt{x} \sqrt{y}$

thus

$x=\sqrt{40}\\ x=\sqrt{4}\sqrt{10} \\ x=2\sqrt{10}$

What is the value of x? leave your answer in simplest radical form.

Answer from: Quest

Chope this have a nice day btw the other person deserves brainlest

Questions in other subjects:

Health, 20.03.2020 21:06

The nurse is assessing a pregnant client with type 1 diabetes mellitus about her understanding regarding changing insulin needs during pregnancy. The nurse determines that further...

Mathematics, 20.03.2020 21:07

Juan is drawing the two-dimensions net of a rectangular solid, but he made a mistake. What error did Juan make, and how can correct it?...

Mathematics, 20.03.2020 21:07

Alissa is on a road trip. When she leaves one morning the temperature is 56° F, by lunch time the temperature has risen 7° and then when she arrives at her destination for the nigh...

Physics, 20.03.2020 21:07

Madhur and Jayden consider a system made of two spherical masses. How can Madhur describe the circumstances that could allow the center of mass of this two-mass system to be locate...

Mathematics, 20.03.2020 21:07

Keven ran for less 20 minutes...

Health, 20.03.2020 21:07

Along with the promises of new diagnostics and cures, the field of nanomedicine also brings with it a great deal of ethical questions. Why do you think nanomedicine is often consid...

Mathematics, 20.03.2020 21:07

The party supply store has 250 bags of balloons. There are 75 balloons in each bag—25 red'35 blue' and 15 green. A school needs 6,500 red balloons,9,000 blue balloons , and 4000 gr...

Mathematics, 20.03.2020 21:07

Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which prize they receive is randomly selected. What is th...

Mathematics, 20.03.2020 21:07

You are choosing between two long-distance fun plans plan a has a monthly fee of $15 with a charge of 0.09 Per minute of long distance calls Plan B has a monthly fee of $12 with a...

Business, 20.03.2020 21:07

The financial manager of Carolina Graphics negotiated a with her bank that allows Carolina to borrow up to $50,000 without collateral. This arrangement eliminates the need to rene...

More questions: Mathematics Another questions

This diagram shows a regular dodecagon (12 sides). a) Work out the size of of one interior angle. b) Work out the size of one exterior angle.

Answers

Other questions on the subject: Mathematics

Questions in other subjects:

This diagram shows a regular dodecagon (12 sides). a) Work out the size of of one interior angle.

b) Work out the size of one exterior angle.