MATHEMATICS COLLEGE

CIO and MAP are supplementary MAP measures five times the other angle. What is the complement of the smaller anglo?
Provide the equation to solve for the unknown angle
Measure of Angle CIO
MAP
Complement of smaller angle
CIO and MAP are supplementary MAP measures five times the - 1

Answers

Answer 1
Answer:

Answer:

Measure of CIO = 30°

Measure of MAP = 150°

Complement of smaller angle = 60°

Step-by-step explanation:

Given that <CIO and <MAP are supplementary, therefore:

m<CIO + m<MAP = 180°

Let x be m<CIO

m<MAP = 5x

Thus:

x + 5x = 180

Solve for x

6x = 180

Divide both sides by 6

x = 30°

The smaller angle = m<CIO = x = 30°

The bigger angle = m<MAP) = 5x = 5(30) = 150°

Complement of the smaller angle = 90 - 30 = 60°

Related Questions

Find the Pythagorean triplet in which one number is 32
What is the y-intercept of the line your equation X-1/2Y = -6A.-6B.-3C.0D.12
If x-13 = k and k = 3, what is the value of x?
A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of particular importance is the income in the area surrounding the proposed mall. A random sample of four families is selected near each proposed mall. Following are the sample results. At the 0.05 significance level, can the developer conclude there is a difference in the mean income
A baker is calculating the charge for two types of cookies. what formula tells the cost, in dollars, if chocolate chip cookies are $1.50/dozen and lemon frosted cookies $1.00/dozen. c=number of dozen of chocolate chip cookies; L=number of dozen lemon frosted; T=total charge.

4. A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter.How high is the cylinder?
O A. 8 mm
OB. 14 mm
O C. 16 mm
O D. 18 mm

Answers

Answer: The answer is A, 8 mm.

Step-by-step explanation:

A 20-foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up on the wall will the ladder reach? Round the answer to the nearest tenth.A. 21.5
B. 18.3
C. 15.7
D. 19.1

I keep getting 18.3 as my answer, but I feel like I'm doing something wrong. Can somebody please explain and show me how to do this correctly? I don't think I'm doing it right :(

Answers

You use Pythagorean theorem to solve it and you get 18.3. Just look at the picture to see how i solved it

Subtract 5 5⁄21 from 131⁄7 (reducing to lowest terms if necessary). A. 1019⁄7 B. 719⁄7 C. 1019⁄21 D. 719⁄21

Answers

13(1)/(7)-5(5)/(21)=13(3)/(21)-5(5)/(21)=(13-5)+\left((3)/(21)-(5)/(21)\right)\n\n=8-(2)/(21)=\left(7+(21)/(21)\right)-(2)/(21)\n\n=7+(21-2)/(21)=7(19)/(21)

The appropriate choice is ...

... D. 7 19/21

Cos²x + sin2x - 1 = 0, 0° ≤ x ≤ 90°, tan x =​

Answers

Answer:

0 and arctan(0.5)

Step-by-step explanation:

if sin2x=2sinx*cosx and 1=sin²x+cos²x, then

cos²x+2sinxcosx-sin²x-cos²x=0;

2sinxcosx-sin²x=0; (to divide by cos²x)

2tanx-tan²x=0;

\left[\begin{array}{ccc}tan(x)=0\n tan(x)=1/2\end{array} \ => \ \left[\begin{array}{ccc}x=pi*n\nx=arctan(1/2)+pi*n\end{array} \ => \ \left[\begin{array}{ccc}x=0\nx=arctan(0,5)\end{array}

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected. Find the probability that the sample contains exactly one defective item

Answers

Answer:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^(5-1)= 0.396

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem  

For this cae that one buggy whip would be defective is p = (5)/(20)=0.25

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=5, p=0.25)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^(n-x)  

Where (nCx) means combinatory and it's given by this formula:  

nCx=(n!)/((n-x)! x!)  

And we want to find this probability:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^(5-1)= 0.396

Simplify the following expression.
11x^2+9–2x–8x^2 - 6x

Answers

Answer:

3x^2-8x+9

Step-by-step explanation:

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Hope this helps! :) Plz mark as brainliest

Answer:   3x^2-8x+9

Step-by-step explanation:

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Thank you :)
Other Questions
Business Week conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume that the mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000, respectively. Assume the standard deviation for the male graduates is $40,000 and for the female graduates it is $25,000. 1. In which of the preceding two cases, part a or part b, do we have a higher probability of obtaining a smaple estimate within $10,000 of the population mean? why? 2. What is the probability that a simple random sample of 100 male graduates will provide a sample mean more than $4,000 below the population mean?
Call a household prosperous if its income exceeds $100,000. Call the household educated if the householder completed college. Select an American household at random, and let A be the event that the selected household is prosperous and B the event that it is educated. According to the Current Population Survey, P(A)=0.138, P(B)=0.261, and the probability that a household is both prosperous and educated is P(A and B)=0.082. What is the probability P(A or B) that the household selected is either prosperous or educated?
A line with a slope of -1/2 passes thru the point (-4,3)...Which equation represents this line?
The population of a town increased from 3450 in 2005 to 5800 in 2011. Find the absolute and relative (percent) increase.