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
Lena [83]
3 years ago
13

Name a linear pair.

Mathematics
2 answers:
Alja [10]3 years ago
7 0

Answer:

It is C. Linear pairs make a 180 degree turn. Hope this helps!

Step-by-step explanation:

Softa [21]3 years ago
7 0

Answer:

C. ∠GQI, ∠IQM

Step-by-step explanation:

linear pairs must add up to 180°

∠GQI and ∠IQM make a straight line which is 180°

You might be interested in
. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side
4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0
3 years ago
Given a long algebraic equation, what are some strategies that you can use to make simplifying and evaluating the equation more
krok68 [10]

Answer:

See explanation

Step-by-step explanation:

Given a long algebraic equation, the like terms can be collected. When you collect like terms, you reduce the length of the algebraic equation.

After that, you can factorize the equation where possible. When you factorize the equation. It becomes quite easier to solve it efficiently.

6 0
3 years ago
Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver
katrin [286]

Answer:

(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) <u>Margin of error formula is given by;</u>

             Margin of Error =  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

where, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error =  \sqrt{\frac{\hat p(1-\hat p)}{n} }

Also, \hat p = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, <em>Margin of Error </em>=  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

                                =  1.96  \times \sqrt{\frac{0.66(1-0.66)}{1,018} } = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

                   P.Q. =  \frac{\hat p-p}{ \sqrt{\frac{\hat p(1-\hat p)}{n} }}  ~ N(0,1)

So, <u>95% confidence interval for p</u> =  \hat p \pm \text{Margin of error}

                                                        =  0.66 \pm 0.03

                                                        =  [0.66 - 0.03 , 0.66 + 0.03]

                                                        =  [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

7 0
3 years ago
Yuk noticed that out of 24 students entering the building at Willowville Elementary School this morning, 8 of them were carrying
nordsb [41]

Answer:

the students that brought a lunch box is 28

Step-by-step explanation:

The computation of the students that brought a lunch box is shown below:

= Entire school students × students that carry a lunch box ÷ entering students

= 84 students × 8 ÷ 24 students

= 28 students

Hence, the students that brought a lunch box is 28

3 0
2 years ago
Brainliest if you give steps
Tems11 [23]

Answer:

65

Step-by-step explanation:

try 65 if not then 55

8 0
2 years ago
Other questions:
  • Jon is decorating a panner for a parade. Jon uses a piece of red ribbon witch is 3 4ths yard long. Jon also needs blue ribbon th
    8·1 answer
  • A total of
    15·1 answer
  • Can somebody help me please
    5·1 answer
  • in the morning, sophie goes to the church then goes to school. in the afternoon she goes from school to home. the map shows the
    9·1 answer
  • 1368⁄75 is approximately equal to what value
    7·1 answer
  • Need help wit questions 1,2, and 3
    12·1 answer
  • Player A scored -2. player B scored +4. what was the difference?
    8·1 answer
  • Lawrence middle school is painting a circle on their playground with a radius of 7 feet what will be the total area of the circl
    8·1 answer
  • Practice A<br><br> In Exercises 1-3, find the value of x. Write your answer in simplest form.
    11·1 answer
  • Which of these is NOT an arithmetic sequence?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!