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3 years ago

PLEASE HELP! Which of the following is the best definition of a Linear pair of angles?

Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

A pair of angles with a common vertex and sides that are opposite rays

lord [1]3 years ago

6 0

Answer:

Option A is correct.

A linear pair of angles whose measure sum to 180 degree and share a common ray

Step-by-step explanation:

Linear pair of angles states that it is formed when two lines intersect as shown in the figure given below,

Two angles are said to be linear pair of angles if they are adjacent angles formed by two intersecting lines.

Then, the measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Therefore, A linear pair of angles whose measure sum to 180 degree and share a common ray.

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What is the answer for m∠G ?

Salsk061 [2.6K]

Sum of interior angles of any triangle is 180
so:
x + (3x+25) + (x -5) = 180
5x + 20 =180 5x =160
x = 32
∠G = 3x + 25 = 121

6 0

3 years ago

In an article in Marketing Science, Silk and Berndt investigate the output of advertising agencies. They describe ad agency outp

fredd [130]

Answer: (7.27%, 7.55%)

Step-by-step explanation:

As per given , we have

Sample size : n= 392

Sample mean : $\overline{x}=7.41\%$

$\sigma=1.43\%$

Critical two-tailed z-value for 95% confidence = $z_{\alpha/2}=1.96$

Required confidence interval would be :

$7.41\%\pm (1.96)\dfrac{1.43\%}{\sqrt{392}}\\\\=7.41\%\pm 0.14\%\\\\=(7.27\%, 7.55\%)$

Hence, the required 95% confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies : (7.27%, 7.55%)

7 0

3 years ago

2x-y=5solve the equation for y

Taya2010 [7]

2x-y=5 Subtract 2x from both sides -y=-2x+5 Multiply everything by -1 y=2x-5 would be your answer

7 0

4 years ago

Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r

mylen [45]

Answer:

(x,y) ⇒ (x - 3) (y - 4)

C(5, -1)

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

A retail outlet offers a retention bonus for each shopping season an employee remains with the company. Samuel's starting pay is

miv72 [106K]

Answer:

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Step-by-step explanation:

You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.

Samuel's hourly rate after n seasons at the company will then be:

f(n)= 12.50 + 0.35*n

To determine the hourly rate after 18 seasons, you must replace the value n with 18:

f(18)= 12.50 + 0.35*18

Solving you get:

f(18)= 12.50 + 6.3

f(18)= 18.8

<u><em>Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr. </em></u>

6 0

3 years ago