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
zhannawk [14.2K]
3 years ago
7

1) what is the value of x ?

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

a). x = 9

b). m∠ABC = 27°

c). m∠CBD = 153°

Step-by-step explanation:

1). Property of linear pair of angles states, "sum of linear pair of angles is 180°"

3x + (15x + 18) = 180°

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 9

2). m∠ABC = 3x°

                   = 3×9

                   = 27°

3). m∠CBD = (15x + 18)°

                  = (15×9 + 18)°

                  = (135 + 18)°

                  = 153°

You might be interested in
How many solutions does the equation −4y + 4y + 2 = 2 have? Two None One Infinitely many
Ulleksa [173]

Answer:

Infinitely many

Step-by-step explanation:

Because the equation is equal to 0+0

5 0
3 years ago
Next, find the length of BC. Place point F at (4,4), and draw BF and FC. Find BF and FC using the coordinates of B, C, and F. Th
hammer [34]

9514 1404 393

Answer:

  BC = 5

Step-by-step explanation:

Of course, this geometry program can tell you the length of BC.

__

If you follow directions, you get a right triangle BCF that has leg lengths 3 and 4. The Pythagorean theorem then tells you the length of hypotenuse BC is ...

  BF = 4 -1 = 3

  FC = 4 -0 = 4

  BC² = BF² +FC²

  BC² = 3² +4² = 9 +16 = 25

  BC = √25

  BC = 5

7 0
3 years ago
A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nea
Taya2010 [7]

Answer:

15.1

Step-by-step explanation:

5 0
3 years ago
Solve x^2 + x - 12 = 0
bogdanovich [222]

Answer:

x₁ = -4

x₂ = 3

Step-by-step explanation:

x²+ x + 12 = 0

x = {-1±√((1²)-(4*1*-12))} / (2*1)

x = {-1±√(1+48)} / 2

x = {-1±√49} / 2

x = {-1±7} / 2

x₁ = {-1-7} / 2 = -8/2 = -4

x₂ = {-1+7} / 2 = 6/2 = 3

Check:

x₁

-4² + (-4) - 12 = 0

16 - 4 - 12 = 0

x₂

3² + 3 - 12 = 0

9 + 3 - 12 = 0

6 0
1 year ago
The denominator of a fraction is 9 more than the numerator. if both the numerator and the denominator are decreased by 1 the res
yarga [219]
X/x+9 (original fraction)

x+1/ x+10 = 4/13

x+1=4 so x=3 and x+10=13 so again x=3

now that you have the value of x, substitute it into the original fraction to get:

3/12
5 0
3 years ago
Other questions:
  • Find the value of d. 2d-5 =17
    11·1 answer
  • What is the probability of not drawing a red marble?<br><br><br> 5/5 <br> 3/5<br> 50%<br> 30%
    6·2 answers
  • B<br> + b + b + c + C + C + C =
    14·1 answer
  • What is 25x10^9 in standard form
    7·1 answer
  • WILL GIVE BRAINLIEST answer!!! Solve plz now
    9·1 answer
  • Please help me with this question
    6·1 answer
  • The top angle of a right triangle has tan 0=2√2. what is cos 0?
    11·1 answer
  • Pls answer!!<br><br> In the figure below, ABC is similar to FED. Find the length of BC.
    11·1 answer
  • The sum of the interior angles of a regular pentangon
    13·2 answers
  • PLEASE HELPPP :))
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!