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
Nata [24]
3 years ago
10

In the diagram, bisects ABC. Find mABD and mDBC

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

Angle ABD =  45 degrees

Angle DBC =  45 degrees

Step-by-step explanation:

If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:

angle ABD = Angle DBC

9 x + 9 = 12 x - 3

solve for x by subtracting 9x from both sides,

9 = 3 x - 3

and adding 3 to both sides:

9 + 3 = 3 x

12 = 3 x

divide both side by 3 to isolate "x":

12/3 = x

x = 4

And now we can find the value of each angle:

Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees

Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees

You might be interested in
Find the area of the composite figure.
vivado [14]

So in fig 1 :

  • L = 14m
  • W = 9m

  • Area = L × W
  • Area = 9 × 14
  • Area = 126 m²

In fig 2 :

  • L = 7m
  • W = 16 - 9 = 7m

  • Area= L × W
  • Area = 7 × 7
  • Area =49m²

  • TA = 126 + 49
  • TA = 175 m²

4 0
2 years ago
What is 8p squared- 3p squared+7p spuared
Marysya12 [62]
Remember PEMDAS

first add -3p^2 and 7p^2 to get 4p^2.

next add 8p^2 and 4p^2 to get 12p^2

12p^2 is your answer
4 0
3 years ago
Use benchmark to estimate 2.81 + 3.72
Novay_Z [31]
2.81+3.72=6.53 Which You Could Estimate To 6.50 or 6.5
3 0
3 years ago
You buy a new computer for $1.500. The value of the computer decreases by 6% every yearHow much is the computer worth after 4 ye
REY [17]

Answer:

<h2>A. $1171.05</h2>

Step-by-step explanation:

1500 × (1-(6 / 100))⁴

Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)

4 0
2 years ago
Read 2 more answers
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
soldier1979 [14.2K]

Answer:

32\pi/3 cm³

Step-by-step explanation:

If the diameter is 4 cm, then the radius is 2 cm.

Use the sphere volume formula:

V = 4/3\pir³

Plug in the radius and solve:

V = 4/3\pi(2)³

V = 4/3\pi(8)

V = 32\pi/3

So, the volume of the sphere is 32\pi/3 cm³

3 0
3 years ago
Other questions:
  • D) (4 radical din 2 - radical din 2 ) × radical 2 + radical 2 × radical 18
    13·1 answer
  • State one method by which you can recognize a perfect square trinomial.
    8·1 answer
  • Using the numbers 1, 3, 4 and 6 exactly once, how do you get 9, 10 and 11?
    14·1 answer
  • If f(x) = 2x^3 - 3x + 1 find f(3)
    9·1 answer
  • Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will B
    10·1 answer
  • What is the y-intercept of y = 5?
    15·2 answers
  • The school bus travels at an average speed of 30 miles an hour in the morning because of the traffic. Diego's Home is 3 miles aw
    11·1 answer
  • Whats the Y coordinate Of the solution to the system of equations 4x-4=-2y 2x-y=8
    13·1 answer
  • Answer the following!
    8·1 answer
  • What’s the rangeee??
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!