Abcd is a cyclic quadrilateral. o is the center of the circle ∠bad = 40°,then angle BCD=?,m(arc BCD) =?,m( arc BAD)=?

Answers

Answer 1

Answer:

m∠BCD = 140°

m(arc BCD) = 80°

m(arc BAD) = 280°

Step-by-step explanation:

In the cyclic quadrilateral, every two opposite angles are supplementary.The measure of the subtended arc to an inscribed angle equals twice the measure of this angle

Let us use these facts to solve the question

∵ ABCD is a cyclic quadrilateral in circle O

∵ ∠BAD and ∠BCD are opposite angles

→ By using the 1st fact above

∴ m∠BAD + m∠BCD = 180°

∵ m∠BAD = 40°

∴ 40° + m∠BCD = 180°

→ Subtract 40° from both sides

∴ 40° - 40° + m∠BCD = 180° - 40°

m∠BCD = 140°

∵ Arc BCD subtended the inscribed ∠BAD

→ By using the 2nd fact above

∴ m(arc BCD) = 2(m∠BAD)

∵ m∠BAD = 40°

∴ m(arc BCD) = 2(40°)

m(arc BCD) = 80°

∵ Arc BAD subtended the inscribed ∠BCD

→ By using the 2nd fact above

∴ m(arc BAD) = 2(m∠BCD)

∵ m∠BCD = 140°

∴ m(arc BAD) = 2(140°)

m(arc BAD) = 280°.


Related Questions

In a building construction project, the on-time completion of the building requires the successive completion of a series of activities. Define E = excavation completed on time; and P[E] = 0.8 F = foundation completed on time; and P[F] = 0.7 S = superstructure completed on time; and P[S] = 0.9 Assume statistical independence among these events.

Answers

Answer:

The probability of the completion of the project on time is 0.504.

Step-by-step explanation:

The question is:

Define the event C : (project completed on time) in terms of E, F and S. Compute the probability P(C) operations will not be on time in terms of E, F and S.

Solution:

The events are:

E = excavation completed on time; P [E] = 0.8

F = foundation completed on time; P [F] = 0.7

S = superstructure completed on time; P [S] = 0.9

The event C denotes the completion of the project on time.

Compute the probability of event C as follows:

P (C) = P (E ∩ F ∩ S)

        = P (E) × P (F) × P (S)

        = 0.8 × 0.7 × 0.9

        = 0.504

Thus, the probability of the completion of the project on time is 0.504.

A triangle has side lengths of 2x, 4x, and 5x inches. If the perimeter of this triangle is 44 inches, what is the value of x?​

Answers

Answer:

4

Step-by-step explanation:

2x+4x+5x=44

11x=44

x=11

Value of the given x is 4 units

Given that;

Sides of perimeter = 2x, 4x, 5x

Perimeter of triangle = 44 inches

Find:

Value of x

Computation:

Perimeter of triangle = Sum of all sides

44 = 2x + 4x + 5x

11x = 44

x = 4

Value of x = 4

Learn more:

https://brainly.com/question/9916945?referrer=searchResults

Find the product of 1/8 and 5/6 . Express your answer in simplest form.

Answers

Answer:

5/48

Step-by-step explanation:

So first multiply the numerators: 1 and 5. Multiplying 1 and 5 gets you 5.

Now multiply denominators: 8 and 6. That gets you 48.

So, after you multiply put it in a fraction and you get 5/48.

There is no need to simplify as it's already in its simplest form!

Please help me I need help

Answers

Answer:

what do you need help on???

Step-by-step explanation:

do you wanna know the alphabet ?

ABCDEFGHIJKLMNOPQRSTUVWXYZ

do u wanna know how to count to ten?

one , two ,three ,four ,five ,six ,seven ,eight ,nine,ten

Do u wanna know how to say hi in spanish?

Hola

Do u wanna know how old Beyonce is?

39

1. What percent of 60 is 15?

Answers

Answer:

25%

Step-by-step explanation:

Mental math approach: 15 is 1/4 of 60, and 1/4 is 25%. So, 15 is 25% of 60.

Answer:

25% or 1/4

Step-by-step explanation:

What is the reciprocal of 4 1/6

Answers

Answer:

0.24

Step-by-step explanation:

To find the reciprocal of a fraction, switch the numerator and the denominator the top and bottom of the fraction, respectively. So, simply speaking, the reciprocal of a/b is b/a. To find the reciprocal of a number, divide 1 by the number.

A color printer prints 19 pages in 10 minutes . how many pages does it print per minute

Answers

Answer:

Step-by-step explanation:

600

Answer:

1,9 per minute

Step-by-step explanation:

19 divided by 10

Please help it’s easy

Y > 3/4x - 5

Answers

i’m not sure if you accidentally wrote the equation wrong but if you meant to say
“Y=3/4x-5” then the answer to that is:

x=20/3 or x= 6 2/3

hope it helps :3

The polynomial x2 + 3x – 1
is a factor of x2 + 2x2 – 5x - 6.
Please select the best answer from the choices provided
т
F

Answers

Answer:T

Step-by-step explanation:

Determine if the two triangles are congruent. If they are, state how you know.

a) not enough information
b) SAS
с) SSS

Answers

Answer
Option B
It’s Side angle side congruent triangles as there are two sides and in between the two sides there is an angle and the symbols are also same so we can say that SAS Congruence.
Hope it helps you
If yes then please mark me brainliest
Thank you

Find the missing term 24:96=5:?

Answers

Answer:

24:96=5:x

Step-by-step explanation:

x=(96*5)/24=20

make it braintliest please

Please


Jacoby writes 1/12 page in 1/3 of a minute. How much time will it take Jacoby to write a full page?

Answers

Answer:

4 Minutes

Step-by-step explanation:

If 1/12th of a page is 1/3 of a minute, you have to ask what number do you multiply 1/12th by to equal 1?

12.

So then multiply both 1/12th and 1/3rd by 12. You get 12/12 and 12/3

12/12=1 page

12/3=4 minutes

So every 4 minutes he writes one page.


SELECT ALL THE CHORDS
CD
JS
MG
CT




Please help

Answers

Answer:

CD, JS, and CT.

Step-by-step explanation:

Hope it helps.

All the value of chords are, CD and CT.

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle is shown in image.

Now, We know that;

The chord of a circle is defined as the line segment joining any two points on the circumference of the circle.

Hence, By figure;

The chords are,

⇒ CD and CT

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ5

Please help me

if you can't read it it says
-138=-6(6b-7)​

Answers

Answer:

[tex]b\ge \:5[/tex]

Step-by-step explanation:

[tex]-138\ge \:-6\left(6b-7\right)\\\\[/tex]

Switch sides

[tex]-6\left(6b-7\right)\le \:-138\\[/tex]

Multiply both sides by -1

[tex]\left(-6\left(6b-7\right)\right)\left(-1\right)\ge \left(-138\right)\left(-1\right)[/tex]

Simplify

[tex]6\left(6b-7\right)\ge \:138[/tex]

Divide both sides by 6

[tex]\frac{6\left(6b-7\right)}{6}\ge \frac{138}{6}[/tex]

Simplify

[tex]6b-7\ge \:23[/tex]

Add 7 to both sides

[tex]6b-7+7\ge \:23+7[/tex]

Simplify

[tex]6b\ge \:30[/tex]

Divide both sides by 6

[tex]\frac{6b}{6}\ge \frac{30}{6}[/tex]

Simplify

[tex]b\ge \:5[/tex]

Write an equation in slope-intercept form for the line described.
Slope 4, y-intercept (0,-7)

Answers

Answer:

y=4x-7

Step-by-step explanation:

The y intercept is -7, the slope is 4

y=mx+b

m=slope b=y intercept

Answer:

y = 4x - 7

Step-by-step explanation:

y = mx + b

m is slope, which is 4

b is y-intercept, which is -7

can i get brainliest please?

What does it mean to say that lim n → [infinity] an = 8? The terms an approach infinity as 8 approaches n. The terms an approach 8 as n becomes small. The terms an approach infinity as n become large. The terms an approach 8 as n becomes large. The terms an approach -infinity as 8 approaches n.

Answers

Answer:

The terms an approach 8 as n becomes large.

Step-by-step explanation:

The computation is shown below:

As per the question, Given that

[tex]\lim_{n \to \infty} a_n = 8[/tex]

That means

[tex]n \to \infty}[/tex]

And,

[tex]a_n \to 8[/tex]

This means that the term a_n approaches 8 as n tends to be infinite

And, the term a_n approaches 8 as n tends to be large

Therefore the option  c is correct

And, the same is be considered

All other options are wrong so ignored them

What is a hypothenuse?

Answers

Answer:

a hypothenuse is the longest side of a right triangle, opposite the right angle.

Step-by-step explanation:

i hope this helps!

Step-by-step explanation:

hypotenuse is the straight line and the longest in a right-angled triangle

what statement about the angles in this diagram is false

Answers

Answer:

i cannot see the statments

Step-by-step explanation:

Answer:

the statements aren't showing

Step-by-step explanation:

(don’t solve) write the expression: eleven more than half a number

Answers

1/2x+11 is the equation you would use

Answer:

1/2x + 11

Step-by-step explanation:

Can I have brainliest? plz!!!

The telephone company offers two billing plans for local calls. Plan one charges $28 per month for unlimited calls and plan to charges $14 per month $0.04 per call.

Answers

Answer:

So I believe we're looking for the best long term plan

the first plan is staight forward so lets look at the secod one

14 + .04 times X

so if you make more than 350 calls (or more than 35o mins worth of calling time) you'll be charged more than the first plan due to 350 calls will equal 14 dollars with makes the bill 28 dollars which equals out the second and first plan

150 families in Metropolis yield the accompanying data on length of residence in current homes. What is a point estimate for the mean of the sampling distribution of the difference between the 2 sample​ means?

Answers

Answer:

B. -15

Step-by-step explanation:

The question is incomplete, find the complete question attached. The point estimate of the mean is also known as the mean of the towns

Given the mean of two towns

xbarG for sample mean of Gotham = 35

xbarM for sample mean of Metropolis = 50

distribution of the difference between the 2 sample​ means = xbarG - xbarM

distribution of the difference between the 2 sample​ means = 35-50

distribution of the difference between the 2 sample​ means = -15

Hence option B is correct

A hippopotamus can run 6 kilometers in 15 minutes. At this rate, how far can the hippopotamus run in 1 minute?

Answers

Answer:

0.4 kilometers

Step-by-step explanation:

6/15 = 0.4

a hippopotamus can run 0.4 kilometers in 1 minutes


Solve the equation.
(1/6)^x = 216
O (3)
O {-3)
O 1/3
O {-1/3)

Answers

Answer:

The answer is the second choice

solve for n: 2m+7n=10
(also explain how you did it so i can follow the same steps for the rest of the questions)

Answers

Answer:

n=(10-2m)/7

Step-by-step explanation:

2m+7n=10

subtract 2m from both sides

7n= 10-2m

divide by 7 on both sides

n=(10-2m)/7

what is 19% of 103?

Answers

Answer:

19.57

Step-by-step explanation:

When you do 19% of 103

you get 19.57

Hope this helps! <3

Answer:  19% of 103 is 19.57

Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If the height increases at a constant rate of 5 feet per minute, at what rate is the sand pouring from the chute when the pile is 10 feet high

Answers

Answer:

125π ft³/min

Step-by-step explanation:

Volume of a cone = 1/3πr²h

r is the radius

h is the height.

r = d/2

Volume = 1/3π(d/2)²h

Volume = 1/3π(d²/4)h

Volume = 1/3πd²h/4

Since the diameter is equal to height, hence d = h

V = 1/3πh³/4

V = 1/12πh³

dV/dt = dV/dh × dh/dt

Given

dh/dt = 5ft/min

dV/dh = 3/12πh²

dV/dh = πh²/4

Given h = 10ft

dV/dh = π(10)²/4

dV/dh = 25πft²

Next is to get dV/dt

dV/dt = 25π × 5

dV/dt = 125π ft³/min

Hence the rate at which the sand is pouring from the chute when the pile is 10 feet high is 125π ft³/min

Jose bought 12 pounds of rice for $5. How many dollars did he pay per pound of rice.

Answers

Answer: $2 4cents

Step-by-step explanation: You divide 12 by 5 and that gives you 2.4. In money that 2 dollars and 4 cents

Which expression has a value that is greater than 43.537

Answers

Answer:

I need to c the expressions to answer

A roulette wheel has 38 slots numbered 1-36 and 0 and 00. Suppose you bet $1 on 4 numbers (1,2,3,4). If the ball lands on one of your 4 numbers you win $8, otherwise you lose $1. Suppose you play this game 80 times. This corresponds to drawing how many tickets at random?

Answers

Answer:

This corresponds to drawing 80 tickets at random.

Step-by-step explanation:

Since a roulette wheel has 38 slots numbered 1 - 36 and 0 and 00, and you play this game 80 times, it implies that you will need 80 tickets.  Each play requires a ticket from which you will choose your four numbers.  This is a game of chance, and like all games of chance, the outcome cannot be ascertained until after the play.

At random, this corresponds to drawing 80 tickets.

Probability

According to the question,

Number of slots in wheel = 38

Number of times game played = 80

Win = $8

Lose = $1

Even though a roulette wheel includes 38 slots designated 1 - 36 along with 0 as well as 00, if users start playing 80 times, they will require 80 tickets or coupons. Also, every game necessitates the purchase of a ticket from which you will select your four digits.  

This represents a matter of chance, as well as the conclusion, like all situations of opportunity, cannot be known until well after the tournament has been completed.

Thus the response above is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

x - 2y = -2
3х -6y = 30

Answers

Answer:

EEEEEEEEEEEEEEE

(ノಠ益ಠ)ノ彡┻━┻

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