AB, BC and CD are three sides of a regular polygon with centre o.
ABX is a straight line.
Angle BCD = 140°
0 Calculate the size of each of the angles marked v, w, x, y and z.


Pls help 10 points

AB, BC And CD Are Three Sides Of A Regular Polygon With Centre O.ABX Is A Straight Line.Angle BCD = 1400

Answers

Answer 1

Answer:

Step-by-step explanation:

Since, BC and DC are the sides of a regular polygon,

m(DC) = m(BC)

Opposite angles of these equal sides will be equal in measure.

m∠DBC = m∠CDB = v

By triangle sum theorem,

m∠DBC + m∠CDB + m∠DCB = 180°

v + v + 140° = 180°

2v = 40°

v = 20°

Since angle 'x' is an exterior angles of ΔBCD,

x = m∠BDC + m∠CBD [By the property of exterior angles]

x = v + v

x = 40°

Since, angles v, w and x are the linear angles,

v + w + x = 180°

20° + w + 40° = 180°

w = 120°

Since, measure of exterior angle = [tex]\frac{360}{n}[/tex]

n = Number of sides

40° = [tex]\frac{360}{n}[/tex]

n = 9

Sum of angles formed at the center by joining vertices of the polygon = 360°

Measure of each angle at the center of a polygon with 9 sides = [tex]\frac{360}{9}[/tex]

= 40°

Since, z = 3 × (Measure of central angle formed at the center)

             = 3 × 40°

             = 120°

In ΔOAB,

m∠OAB + m∠OBA + m∠AOB = 180°

y + y + 40° = 180° [m∠OAB = m∠OBA, Opposite angles of the equal sides OA and OB]

2y = 140°

y = 70°

AB, BC And CD Are Three Sides Of A Regular Polygon With Centre O.ABX Is A Straight Line.Angle BCD = 1400

Related Questions

15 points for an answer for this question

Answers

Answer:

Is it Khan Academy? You do 5.8 - 2.7 = 3.1

Step-by-step explanation:

Hope that helps!

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(0, 0) (10, 0) (10,4) (0, 4)
(-2.2) (8, 2) (8.-2) (-2,-2)
(1, 1) (6, 1) (6, 3) (1, 3)
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Answers

Answer: Choice B)  (-2, 2), (8,2), (8, -2), (-2, -2)

Explanation:

The scale factor 2 means we multiply the coordinates of every original point by 2. A point like (-1,1) moves to (-2,2) after doing so

As another example, (4,1) moves to (8,2) after multiplying both coordinates by 2.

Perry's bikes rent bikes for $18 plus $4 per hour. Lea paid $42 to rent a bike for how many hours did she rent the bike?

Answers

Answer:

10.5 hours!

Step-by-step explanation:

she rented the bike for 6 hours

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Answers

Answer:

n=75 pair of shoes

n-75=35 equation

n=35+75=110

cost of jeans=110

2. The lengths of the sides of a triangle are 4cm, 5cm and 6cm. Find, in degrees to one decimal
place, the size of the largest angle of the triangle.

Answers

Answer:

82.8 degrees.

Step-by-step explanation:

The largest angle is opposite the longest side.

So we find the angle opposite the 6cm line using The Cosine Rule:

6^2 = 4^2 + 5^2 - 2.4.5 cos A

cos A = (6^2 - 4^2 - 5^2) / (-2*4*5)

= -5/ -40

=  0.125.

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Please help due today in 10 minutes

Answers

Answer:

I can't help it's past due date. sorry

Step-by-step explanation:

4 minutes 53 seconds to seconds

Answers

Answer:

It's 293 seconds

Step-by-step explanation:

Answer:

293 seconds

Step-by-step explanation:

There are 60 seconds in a minute so 4x60=?

you know 4x6=24 so just take away the zero then add it back so it would be 240 then you just add 53 so, 240+53= 293 seconds and that's the answer.

a. a triangle with one right angle and two congruent sides​

Answers

Answer:

is an isosceles right triangle, angles 45, 45, & 90 degrees

Step-by-step explanation:


[tex]2 \sin(x) - \sqrt{3} = 0[/tex]

[tex] when\frac{\pi}{2} \leqslant x \leqslant \pi[/tex]

Answers

Given:

The equation is

[tex]2\sin x-\sqrt{3}=0[/tex]

When [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].

To find:

The value of x.

Solution:

We have,

[tex]2\sin x-\sqrt{3}=0[/tex]

It can be written as

[tex]2\sin x=\sqrt{3}[/tex]

[tex]\sin x=\dfrac{\sqrt{3}}{2}[/tex]

It is given that [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].

[tex]\sin x=\sin \left(\pi-\dfrac{\pi}{3}\right)[/tex]

[tex]x=\dfrac{3\pi-\pi}{3}[/tex]

[tex]x=\dfrac{2\pi}{3}[/tex]

Therefore, the value of x is [tex]\dfrac{2\pi}{3}[/tex].

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The product is .

Answers

Answer:

55

Step-by-step explanation:

you make 25 into its perfect square form and multiply

11÷5 x 5 x 5

geometry// please help!

Answers

there is no picture attached
I would help but I don’t see a picture attached, sorry

15 points, 8-9 grade work

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q(x) = -2x^2 + 4x - 3

calculation:

A. p(x) + q (x)

B. 2 • p (x)

C. p (x) - q (x)

D. 3 • p (x) + 4 • q (x)

E. p (x) • q (x)

F. (P (x) ) ^2

Answers

Answer:

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B. 2 • p (x)=2(2x^4 + 3x^2 - 5x + 7)=4x+6x²-10x+14

C. p (x) - q (x) =2x^4 + 3x^2 - 5x + 7-(-2x^2 + 4x - 3 )=2x^4 + 3x^2 - 5x + 7+2x²-4x+3=2x+5x²-9x-2

D. 3 • p (x) + 4 • q (x) =3(2x^4 + 3x^2 - 5x +7)+4(-2x^2 + 4x - 3 )=6x⁴+9x²-15x+21-8x²+16x-12=6x⁴++x+9

E. p (x) • q (x)=sorry it is quite long.

F. (P (x) ) ^2this too.

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Answers

Answer:

Step-by-step explanation:

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Answers

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y + 2 = 3x + 12. subtract 2 from both sides

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y = 3(-2) +10

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(-2,4)

y = 3(0) + 10

y = 0 + 10

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(0,10)

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(2,16)

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Answers

Answer:

so then it to be 25000

Step-by-step explanation:

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Answers

7*(x - 10) = 70
7x = 140. Wait if this is wrong I’m really sorry! Have a great day.

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Answers

Answer:

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Answers

Answer:

B, C, and D

Step-by-step explanation:

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gb! gxhkvjbuckkfkdjfjxlx?xlfkfjjmf la lfldkejnfnfmfkkfkf

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B. 28 and 23
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer:

6:5

Step-by-step explanation:

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Answers

Answer:

56

Step-by-step explanation:

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Answers

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Answer:

(0,0)

Step-by-step explanation:

That is the middle.

Will give brainliest please answer please

Answers

Answer:

E,F,B

Step-by-step explanation:

Answer:

A,C,E

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

14.6

Step-by-step explanation:

It would be 14.6 because 14.6 is basically 14.60

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Answers

Answer:

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SO C=68

I believe

40 POINTS!
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O A. (x, y) + (x + 5, y - 4)
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Answers

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Answers

Answer:

i think its the 3rd option

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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