Mathematics High School

In circle O, m∠R = 30.8°. Find m∠NOQ.

Answers

Answer 1

Given:

In circle O, m∠R = 30.8°.

To find:

The m∠NOQ

Solution:

Central angle theorem: According to this theorem, the central angle is always twice of subtended angle on the same arc.

Angle NOQ and angle NRQ are on the same arc but ∠NOQ is the central angle and ∠NRQ is the subtended angle on the arc NQ.

Using central angle theorem, we get

[tex]m\angle NOQ=2\times m\angle NRQ[/tex]

[tex]m\angle NOQ=2\times m\angle R[/tex]

[tex]m\angle NOQ=2\times 30.8^\circ[/tex]

[tex]m\angle NOQ=61.6^\circ[/tex]

Therefore, [tex]m\angle NOQ=61.6^\circ[/tex].

Related Questions

Observe os pontos Z, Y, W, X e V marcados na reta numérica abaixo.

M120566H6

Desses pontos, o que melhor representa a localização do número irracional 14−−√ é o
Z.
Y.
W.
X.
V.

Answers

A raiz quadrada de 14 seria 3.74165738677 ou 3.7

Arredondamos para 4 já q 7 é próximo de 10

What type of angle is angle G?
H
L
G

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle G is ACUTE (answer d) because it's between 0 and 90 degrees.

what is the value of 4(a+b) when a=2 and b=7

Answers

Answer: 4x2=8

4x7=28 the full answer should be 144 since 28+8 =36 a 4x36 = 144

Step-by-step explanation:

Solve for u.
11u = -22
Simplify your answer as much as possible. <3

u = ???

Answers

Answer:

u=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

11u=−22

Step 1: Divide both sides by 11.

11u

−22

u=−2

Answer:

u=−2

3.75x - 1.5 = 40(Round your answer to the nearest tenth

Answers

Answer:

x = 11.1

Step-by-step explanation:

3.75x - 1.5 = 40

3.75x = 40 + 1.5

3.75x = 41.5

x = 41.5/3.75

x = 11.07

Rounded to nearest tenth: 11.1

Answer:

11.1

Step-by-step explanation:

3.75x - 1.5 = 40

+1.5 +1.5

3.75x/3.75 = 41.5/3.75

1x=11.1

x= 11.1

what is 136 over 20 x 96 over 20?

Answers

Answer:

32.64

Step-by-step explanation:

136/20*96/20=32.64

the answer is 17/12 or 1 5/12

Meagan and jake both live on the same street that the librarian is on.Megan lives 3.5 blicks north of the library,and jake lives 4.5 blocks south of the library.How many blpcks apart do jake and meagan live.

Answers

Answer:

8 blocks

Step-by-step explanation:

As the north direction is upwards and the south direction is downwards the total distance between the two people 's (Megan and Jake) houses will be obtained by adding their distances from the library which is in the middle as shown in the diagram.

Hence total distance between the two houses= 3.5 + 4.5= 8 blocks

Jake and Meagan live 8 blocks apart.

Which statement is best supported by the information in the box plots?

Answers

Answer: A

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

Find the circumference of a circle with a radius of 4.4 inches. Use 3.14 for pie. Round to the nearest tenth if necessary. Please provide steps.

Answers

Answer:

2×3.14×4.4

27.62 is the answer

What is the missing step in this proof

Answers are: A. CAB, ACB, EDB, DEB
B. ADE, DBE, CED, EBD
C. CAD, ACE, ADE, CED
D. CAB, EDB, ACB, DEB

Answers

The missing step in the given proof is ∠DEB ≅ ∠ACE

How to prove similar triangles?

From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.

Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.

Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.

Read more about Similar Triangles at; https://brainly.com/question/8691470

#SPJ1

Help me pls))))

When you show a friend your idea for an art project, he says the idea is too superficial. What can you do to fix this?

A) Strengthen and lengthen your research process.

B)Abandon the idea all together.

C)Add another topic to your original topic.

D) Ignore your friend and create the artwork anyway

Answers

A. It just is trust.

Alex was thinking of a number. Alex doubles it and gets an answer of 16.9. What was the original number?

Answers

Answer:

8.45

Step-by-step explanation:

Doubling a number is the same as multiplying by 2, so to go back to the original number you divide 16.9 by 2

There are 12 turtles on a log, and 9 of those turtles are green. What fraction
of the turtles are green?

Answers

Answer:

75%

Step-by-step explanation:

Take 9/12 and multiply it by 100 and you get the percentage of the turtles that are green.

The answer is 9/12 :))

Which expression could be used to evaluate the expression below?

Answers

Answer:

Step-by-step explanation:

Is there supposed to be a picture

Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).

12, 17, 20, 8, 13

Answers

Answer: 3.6

Step-by-step explanation:

On Saturday 4 groups of people went to the restaurant at the ski resort. Each group had 5 people in it. Everyone ordered a cup of hot chocolate. Rebecca,Malaki,and Jeffery each ordered an extra cups of hot chocolate.how many many cups of chocolate did the people drink that day?

Answers

Answer:

Step-by-step explanation:

total number of people at the restaurant = number of groups x total number of people in the groups

4 x 5 = 20

20 people ordered hot chocolate

3 people ordered an extra cup of hot chocolate.

The total number of hot chocolate ordered = 20 + 3 = 23

Point M is the midpoint of CD¯¯¯¯¯¯¯¯. C has coordinates of (-1, 1) and D has coordinates of (5,-5). What are the coordinates of point M?

Answers

Answer:

The answer is (2,-2)

Below are two images with scale copies of each other. Determine the scale factor for each of the following:

Answers

I’m pretty sure the scale factor is 1/3 since it’s dilating. Cause 9/3=3 and 6/3= 2

It’s on the picture .

Answers

Answer:

slope 2

yint 1

equation y=2x+1

KatyDid Clothes has a $120 million (face value) 25-year bond issue selling for 103 percent of par that carries a coupon rate of 9 percent, paid semiannually.

Answers

Answer:

8.704%

Step-by-step explanation:

The computation of the before cost of debt is as follows

Given that

Future value = $100

Present value = $103

NPER = 25 × 2 = 50

PMT = $100 × 9% ÷ 2 = $4.5

The formula is presented below:

= -RATE(NPER;PMT;PV;FV;TYPE)

After applying the above formula, the rate is 4.3518%

Yearly rate is

= 4.3518% ×2

= 8.704%

Can you help me plz? I'll mark brainilest

Answers

the answer is amplitude

(13x-26) (5x+8) PLEASE HELP

Answers

Answer: X= 11

Step-by-step explanation: 13x-26 and 5x+8 are Linear Pairs which are supplementary. 13x-26+5x+8 is equal to 18x-18=180. 18x=198 and then X=11

Will mark Brainliest. I really do not understand this at all

Answers

Answer:

basically you are writting an equation for the solution of the circle if you didnt get what i said ask a teacher

Step-by-step explanation:

A computer originally priced at $850 is on sale for 15% off. What is the sale price of the computer?

Answers

Answer:

Sale price: $722.50

Step-by-step explanation:

Subtract 15% from 100%, obtaining 85%. The computer is sold for 85% off.

Converting this 85% to a mixed decimal, we get 0.85, and then we multiply the original price ($850) by this 0.85: 0.85($850) = $722.50

What is the quotient of 1/2 divided 3

Answers

Answer:

1/6

Step-by-step explanation:

the answer is 1/10 or .1

if 123 and x are in proportion find the value of x

Answers

1:2=3:x

1/2=3/x

1×x=3×2

x=6

The x - coordinate of A' is _____
. The y - coordinate of A' is _____

Answers

Answer:

(-3, 2)

Step-by-step explanation:

Since you are reflecting over the y-axis (the vertical axis), you are flipping the figure over to the left. As a result, you are going over to -3 and up to 2

Answer:

A' is at (-3, 2)

Step-by-step explanation:

point stays 3 units away from the x-axis and 2 units above the y-axis

11. What is the positive solution to this equation?
4x2+ 12 x= 28

Answers

Answer:

x = sqrt(37)/2 - 3/2

approximately 1.54

Step-by-step explanation:

Solve for x over the real numbers:

4 x^2 + 12 x = 28

Divide both sides by 4:

x^2 + 3 x = 7

Add 9/4 to both sides:

x^2 + 3 x + 9/4 = 37/4

Write the left hand side as a square:

(x + 3/2)^2 = 37/4

Take the square root of both sides:

x + 3/2 = sqrt(37)/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

x = sqrt(37)/2 - 3/2 or x + 3/2 = -sqrt(37)/2

Subtract 3/2 from both sides:

Answer: |

| x = sqrt(37)/2 - 3/2 or x = -3/2 - sqrt(37)/2

HELP ME OUT GUYS ILY ALL AND I WILL GIVE BRAINLIEST

Answers

A = area of triangle + area of rectangular + half of the circle area

_________________________________

triangle area = 1/2 × base × height

triangle area = 1/2 × 3 × 5 = 15/2 = 7.50

☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆

rectangular area = length × width

rectangular area = 6 × 5 = 30

☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆

circle half area = 1/2 × pi × radius^2

circle half area = 1/2 × 3.14 × 3^2

circle half area = 1.57 × 9

circle half area = 14.13

_________________________________

A = 7.50 + 30 + 14.13

A = 51.63 m^2

16. Geography If a ship sailed due south from Iceland to Antarctica, it would sail
through an angle of rotation of about 140° around Earth's center. Find this measure in
radians. Then, using 3960 miles for Earth's radius, find how far the ship would travel.

Answers

Answer:

9674.28 miles

Step-by-step explanation:

From the above question, we are given:

Central angle = 140°

Radius = 3960 miles

We are to solve for the distance = Arc length

The formula for Arc length when your central angle is in radians

r × θ

θ = 140°

Converting 140° to radians

140° × π/180 = 2.443rad

Hence,

3960 × 2.443 rad

= 9674.28 miles

The ship would travel 9674.28 miles.

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