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2 years ago

Does anybody know? Find the value of x in the regular polygon

Mathematics

2 answers:

Gala2k [10]2 years ago

6 0

That is a dodecagon, so x without context is 150.

arlik [135]2 years ago

3 0

Answer:

x = 150

Step-by-step explanation:

The regular poligon shown in the image has 12 angles so it's a dodecagon

A dodecagon's interior angles is calculated with the following formula:

(n-2)180 (n is the count of angles)

10*180 = 1800 now this is the sum of all 12 angles' measure to find the value of x we divide this sum by 12

1800/12 = 150 this is the value of x

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PLEASE HELP ME:<br><br> Find the perimeter of the figure. Round to the nearest tenth.

Ksenya-84 [330]

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>

distance formula:

$d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} }$

<h3>1) distance of AB</h3>

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

$ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} }$

$ab = \sqrt{5 {}^{2} + 4 {}^{2} }$

$ab = \sqrt{41}$ AB = 6.4 units

<h3>2) distance of BC</h3>

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

$bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} }$

$bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} }$

$bc = \sqrt{10}$

BC = 3.2 units

<h3>3) distance of CD</h3>

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

$cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} }$

$cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }$

$cd = \sqrt{65}$

CD = 8.1 units

<h3>4) distance of AD</h3>

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

$ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }$

$ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} }$

$ad = \sqrt{10}$

AD = 3.2 units

<h2>perimeter of figure</h2>

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

8 0

3 years ago

PLSS PLS PLS HELP ME I NEED THE ANSWER<br><br> question: solve for this solution using substitution.

Ira Lisetskai [31]

Answer:point form= (-10,16)

Equation form : x=-10,y=16

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

melisa1 [442]

Answer:

$\boxed{\sf 10}$

Step-by-step explanation:

The additive number of any number is the number when added to the number gives a result of zero.

So, if we add 10 to -10 we get a result of zero.

=> -10+10

=> Zero

5 0

3 years ago

What is the area of the model in the problem?

nata0808 [166]

Answer:

$A=x^2+12x+27\ units^2$

Step-by-step explanation:

we know that

The area of the model is equal to the area of a rectangle

The area of a rectangle is equal to

$A=LW$

we have

$L=x+9\ units$

$W=x+3\ units$

substitute

$A=(x+9)(x+3)$

Apply distributive property

$A=x^2+3x+9x+27$

Combine like terms

$A=x^2+12x+27\ units^2$

4 0

3 years ago

B -5 ≥ -45 answer and steps

Natalka [10]

Answer:

-50

Step-by-step explanation:

b-5 $\geq -45$

b-5 = -45 ( collect like terms)

b = -45 + -5

b = -45 -5 b = -50

8 0

2 years ago