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
Soloha48 [4]
3 years ago
9

Three times the measure of the supplement of an angle is 108 degrees more than 9 times the measure of the angle's complement. Fi

nd the measure of the angle, it's complement and its supplement.
Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

  • 63°, 27°, 117°

Step-by-step explanation:

  • Angle = x
  • Supplement = s
  • Complement = c

<u>Given</u>

  • 3s = 9c + 108°

<u>We know that:</u>

  • s = 180° - x, as per definition of supplementary angles
  • c = 90° - x, as per definition of complementary angles

<u>Substituting in the equation above and solving for x:</u>

  • 3(180-x) = 9(90 -x) + 108
  • 540 - 3x = 810 - 9x + 108
  • 9x - 3x = 918 - 540
  • 6x = 378
  • x = 378/6
  • x = 63°
  • c = 90° - 63° = 27°
  • s = 180° - 63° = 117°
You might be interested in
A random walker is observed to take a total of N steps, n of which are to the right (and the rest n^' are to the left). Suppose
ioda

Answer:

p = 0.635

Step-by-step explanation:

A step to the right is n and on ten different days, it was recorded to be

14, 13, 11, 12, 11, 12, 16, 16, 14, 8.

n = average of all the steps,

The average is the sum of variables divided by the number of variables

Average = (14+13+11+12+11+12+16+16+14+8)/10

Average = 12.7 steps.

σₙ² = variance of n

Variance is an average of the squared deviations from the mean.

[Σ(x - xbar)²/N]

Σ(x - xbar)² = (14-12.7)² + (13- 12.7² + (11-12.7)² + (12-12.7)² + (11-12.7)² + (12-12.7)² + (16-12.7)² + (16-12.7)² + (14-12.7)² + (8-12.7)² = 54.1

Variance = σₙ² = (54.1/10) = 5.41

standard deviation = σₙ = √(variance) = √5.41 = 2.326.

The proportion, p can be computed in two ways.

Mean = Np or standard deviation = √[Np(1-p)]

where N = total number of steps = 20

Mean = 12.7 = 20p

p = (12.7/20) = 0.635

Or

Standard deviation = 2.326 = √[20p(1-p)]

5.41 = 20p - 20p²

20p² - 20p + 5.41 = 0

Solving the quadratic equation,

p = 0.5 + 0.143i or p = 0.5 - 0.143i

not a unique or feasible solution, hence, the probability of a step to the right remains p = 0.635

Hope this Helps!!!

5 0
3 years ago
What are the Factored and Standard forms? i need help ASAP. Thank you please!
IRINA_888 [86]

Factored form refers to the form of a number or algebraic expression when it has been broken down into a product of its factors

Standard form is a way of writing down very large or very small numbers easily.

4 0
2 years ago
Read 2 more answers
Answer the question
Mandarinka [93]

Answer:36

Step-by-step explanation:

6 x 12 = 72, then halved, which leaves you with 36

3 0
3 years ago
Tiffany buys a basket of watermelons on sale for $9 before tax. The sales tax is 9%.
Nuetrik [128]

Answer:

the total price would be 9.81

Step-by-step explanation:

9% of 9 = 0.81

0.81+9=9.81

7 0
3 years ago
Help plz<br> What is 35% of 600??
faust18 [17]

Answer:

W = 210

Step-by-step explanation:

What is 35% of 600

Is means equals and of means multiply

W = 35% *600

Changing the percent to a decimal

W = .35 *600

W = 210

5 0
2 years ago
Other questions:
  • 20. what is the area of the figure.
    15·1 answer
  • How many millimeters are in 1 meter? Use the metric table to help answer the question.
    10·2 answers
  • Write the phrase as a mathematical expression: 5 more than twice a number
    8·1 answer
  • How many different ways can a family visit Philadelphia, Baltimore, and Washington?
    6·2 answers
  • Two measurements on a graph meet at a ____
    14·1 answer
  • Evaluate 3/2y-3+5\3 z when y =6 and z =3.
    9·1 answer
  • PLEASE HELP ME I NEED HELP I HAVE 4 MORE TO DO AND I DONT HOW!!!!!! Find the slope and the y-intercept of the graph of the linea
    15·1 answer
  • My sister needs help... blahhh!!! please answer 8,9, and 10 please!!!! Thank you!
    6·1 answer
  • What is the area of the parallelogram? 80 cm 2 40 cm 2 29 cm 58 cm 2
    10·2 answers
  • 5×70=5×(_×10)<br>5×70=(5×_)x10<br>5×70=_×10=_​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!