1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
xxTIMURxx [149]
3 years ago
14

What is the value of b ?

Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer: 120

Step-by-step explanation:

Since Angle formed at the center is equal to the angle measure of its opposite arc

⇒ ∠AOD = 104°

Also, The angle formed in the segment is half the angle formed at the center of the circle

⇒ ∠DOB = 2 × ∠BAD

⇒ ∠DOB = 2 × 68°

⇒ ∠DOB = 136°

Now, ∠AOB = 360 - ∠BOD + ∠AOD

⇒ ∠AOB = 360 - 136 - 104

⇒ ∠AOB = 120°

Now, Angle formed at the center is equal to the angle measure of its opposite arc

⇒ b = ∠AOB

⇒ b = 101°

Hence, the correct option is 120°

You might be interested in
Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
2 years ago
Find the area of the sector
Setler [38]

Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

6 0
2 years ago
Question 4 (2 points)
Law Incorporation [45]

Answer:

x= $19.25 + $36

y= total cost

Step-by-step explanation:

x= number of nights + admission

y= total cost

7 0
3 years ago
Simplify. Consider all cases. |14−(x−6)|
yanalaym [24]

Answer:

20-x; -20+x; -20-x; 20+x

Step-by-step explanation:

|14-x+6|

|20-x|

20-x; -20+x; -20-x; 20+x

4 0
3 years ago
Read 2 more answers
On a map the scale is 1 inch = 125 miles. What is the actual distance between two cities of the map distance is 4 inches. ( PLS
kogti [31]

Answer:

500 miles

Step-by-step explanation:

Please mark as brainliest.

8 0
3 years ago
Other questions:
  • Geno had a gift card for $40. He bought a DVD for $19.50. He spent the remaining amount on two video games. To find the cost of
    9·1 answer
  • The graph shows the number of hours per day spent on social media by a group of teenagers and the number of hours per day spent
    15·1 answer
  • A worker at a factory earns $12 per hour plus 2.50 for each unit produced that hour. The worker earns a total of $27 in one hour
    14·1 answer
  • Can you Shaw me how to do 77x88 im so confused rn
    12·1 answer
  • Need answer :))))))))
    11·1 answer
  • The coordinates of a point on a coordinate grid are (−1, 5). The point is reflected across the x-axis to obtain a new point. The
    13·2 answers
  • B. f(-3) = 1, f(5) = -2
    9·1 answer
  • Please help! Very Easy and urgent
    12·1 answer
  • Simplify:<br> a) 96 + (-12) – (-5)<br> b) (-75) – (-24) + 10 :(
    8·2 answers
  • Which of the following graphs model exponential functions? Select all that apply.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!