3 lines are shown. A line with points P, R, N intersects a line with points O, R, M at point R. A line extends from point R to point L in between angle M R P. Marcus states that angle ORP and angle LRP are a linear pair. Which best describes his statement?

Answers

Answer 1

Answer:

Marcus is wrong.

Step-by-step explanation:

As we see from the figure the angles ORP and PRM makes 180 degrees or are supplementary angles.

Marcus is wrong because a linear pair has a sum equal to 180 degrees.

But if we observe carefully the angles ORP and LRP don not together make an angle of 180 degrees. Also these angles do not have opposite rays .

Therefore angles PRM and ORP are linear pair angles but angle ORP and angle LRP are not a linear pair.

These angles do not have opposite arms as uncommon sides .

The linear pair must have

1) 180 degrees

2) opposite rays as uncommon sides

3) common vertex

3 Lines Are Shown. A Line With Points P, R, N Intersects A Line With Points O, R, M At Point R. A Line
Answer 2

Answer:

He is incorrect. Ray RO and ray RL are not opposite rays.

Step-by-step explanation:

Marcus is incorrect. In order for angles to be a linear pair, the rays of the angles that don't have a common side point, need to be opposite. This is not true for rays RO and RL, so Marcus's statement is not true.


Related Questions

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. The store buys a bike for $125. How much will they sell the bike for at the store? (Assume that there is no sales tax.)

Answers

Answer:

$162.50

Step-by-step explanation:

this is because 30°/• of 125 us 37.5 then if you add that you get 162.50

Answer:

aaaaaaaa

Step-by-step explanation:

Need help for extra credit please???

Answers

Answer:

what si the extra credit

HELP ME RIGHT NOW GRAND PRIZE IS 10 POINTS COME ON COME ON PLEASE SJNDINKOJDEWNIOEW
Solve the system of equations using the substitution method. Make sure to check your solution.

y = 3x + 2

-4x + 4y = 16

In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.

x-coordinate:
y-coordinate:

Answers

Answer: X = 1

Y= 5

Step-by-step explanation:

Plug in y = 3x + 2 in the Y coordinate to find X

-4x + 4(3x + 2) = 16

Now you can solve for X

X = 1

Then plug in 1 in the X coordinate to find Y

-4(1)+ 4y= 16

Now you can solve for Y

Y= 5

YOUR WELCOME

What is the period of the graph of y = 5 sin (4 pi x) + 3?

A. 5
B. 1/2
C. 4pi
D. 3

Answers

Here’s the answer and how you get it :)

Help pleasee! Thank uu

Answers

Answer:

The answer is the 2nd option

Step-by-step explanation:

..................the y intercept

Subtract (8x + 6) − (x + 4).
I WILL BE MARKING BRAINLIST!

Answers

Answer:

7x+10

Step-by-step explanation:

match like terms

8x-x+6+4

7x+10

Answer:

[tex]7x+2[/tex]

Step-by-step explanation:

Alright. First, we have to remember that anything, even a minus sign, directly outside of a term in parentheses means that the term is being multiplied by that number or sign outside of it. A minus sign simply means -1.

I'm going to show you one method. There might be another one, but this method will be useful later in algebra.

So, we've established that a minus sign is actually -1. Now, let's rewrite the equation.

[tex](8x+6)-1(x+4)[/tex]

We'll simplify this now by removing the parentheses and distributing that -1.

[tex]8x+6-x-4[/tex]

Rearrange.

[tex]8x-x+6-4[/tex]

Combine like terms.

[tex]7x+2[/tex]

So,  [tex](8x+6)-(x+4)[/tex] equals [tex]7x+2[/tex].

5+5+5+5+5+5+5+5+5+5+11111111111111111111111122222222222222222222222333333333333333333333333333334444444444444444444444444455555555555555555555555555666666666666666666666666666666677777777777777777777777777788888888888888888888888888888889999999999999999999999999999991111111111111111111111111111111100000000000000000000000000000000000

Answers

Answer:

w                  t                                   f

Step-by-step explanation:

Answer: Its kinda confusing lol

Step-by-step explanation:

I would help but I dont get it sorry

(3y^2 – 4y + 1) +
(- y^2 + 4y – 3)

Answers

Answer:

2y^2-4y+2

Step-by-step explanation:

3y^2-4y+1-y^2+4-3

3y^2-y^2-4y+1+4-3

2y^2-4y+1+4-3

2y^2-4y+2

I need help please! ​

Answers

Answer:

Yes

Step-by-step explanation:

1/4+1/4+1/4=3/4 can also be written as

3*1/4

How much is 75% of 10 liters of milk?

Answers

Answer:

1. 75% of 10 liters of milk = 0.75 * 10 liters of milk = 7.5 liters of milk  

2. To find 75% of a number, multiply the number by 0.75.

Answer by mathstudent55 give credit to him/her

Answer 7.5

Step-by-step explanation:

You can find this by dividing the number by 10, for example let’s use the number 20.

you would divide 20 by 10 which is 2 and times it by 7.

This is 14.

By finding this you have found 70% of 20.

now to find 5%, i would divide 20 by 10 once again which is 2 and then i would divide it by 2 which is 1.

then you would add the 2 numbers so 14+1 to get 15 therefore 75%of 20=15

Evelyn has a 32 ounce flavored water. She drinks 23 ounces. Enter the percentage of ounces Evelyn has left of her flavored water. Round your answer to the nearest hundredth. 10 points Your answer

Answers

Answer:

The answer is 7.36.

Step-by-step explanation:

23% of 32 = 7.36.

EXPAND:
(p-2p)^3
Plz answer. ​

Answers

Answer:

-p^3

Step-by-step explanation:

( p - 2 p ) ^ 3

combine p and 2p to get -p

》expand (-p)^3

》(-1)^3p^3

calculate -1 to the power of 3 and get -1

and this equals -p^3

help help help help help help help help!!!!

Answers

Answer:

c is the answer have a nice day

Step-by-step explanation:

A picture that is 6 3/4 feet wide has to be centered on a wall that is 15 1/2 feet wide, how much space is there from the edge of the wall to the picture.

Answers

Answer: 4 3/8 feet

Explanation: First off, you want to do 15 1/2 - 6 3/4 which gives you 8 3/4. Next, to get your answer, you want to divide 8 3/4 by 2 since 8 3/4 is the TOTAL distance on both sides, not the distance from the wall to the picture on one side. After you divide, you will get a final answer of 4 3/8. Hope this helped!

Work out the equation of a line which has a gradient of 1/2 and passes through the point 4,-2? Pls answer i dont know

Answers

Answer:

y-y1=m (x- x1)…………..(1)

Here m=1/2 and (x1,y1)= (4,-2)

(1) => y-4=1/2(x+2)

=> 2y-8=x+2

=> x-2y-10=0

So, equation of line is x-2y-10=0.

how do i do a coordinate plane

Answers

Answer:

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

Step-by-step explanation:

please help me as soon as possible! :)

Answers

Answer:

-8,-7,-5,-3,-2

-80,-40,20,60

Step-by-step explanation:

Help Please! I dont understand these questions!
Directions: Write the equation of the line in point-slope form, then convert that equation to slope-intercept form. Show your work!

1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).

2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).

3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).

4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).

Answers

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

The slope-intercept form of the equation of line it's y = mx + b, where m is the slope and b is the y-intercept of the line.

1. Write the equation of the line that is parallel to y = 2x + 4 and passes through the point (-4, -1).

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 2x + 4  ⇒   m₁ = 2    ⇒    m₂ = 2

(-4, -1)  ⇒  x₁ = -4,  y₁ = -1

point-slope form:

y - (-1) = 2(x - (-4))

y + 1 = 2(x + 4)

y + 1 = 2x + 8               {subtact 1 from both sides}

y = 2x + 7         ←    slope-intercept form

2. Write the equation of the line that is parallel to y = ⅓x - 3 and passes through the point (3, -1).

y = ⅓x - 3  ⇒   m₁ =  ⅓    ⇒    m₂ =  ⅓

(3, -1)  ⇒  x₁ = 3,  y₁ = -1

point-slope form:

y - (-1) = ⅓(x - 3)

y + 1 = ⅓x - 1           {subtact 1 from both sides}

y = ⅓x - 2         ←    slope-intercept form

3. Write the equation of the line that is perpendicular to y = ¾x - 1 and passes through the point (3, -3).

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = ¾x - 1   ⇒   m₁ = ¾  

¾×m₂ = -1        ⇒    m₂ = -⁴/₃

(3, -3)  ⇒  x₁ = 3,  y₁ = -3

point-slope form:

y - (-3) =  -⁴/₃(x - 3)

y + 3 = -⁴/₃x + 4           {subtact 3 from both sides}

y = -⁴/₃x + 1         ←    slope-intercept form

4. Write the equation of the line that is perpendicular to y = -x - 5 and passes through the point (7, 3).

y = - x - 5   ⇒   m₁ = -1  

-1×m₂ = -1        ⇒    m₂ = 1

(7, 3)  ⇒  x₁ = 7,  y₁ = 3

point-slope form:

y - 3 =  -1(x - 7)

y - 3 = - x + 7           {add 3 to both sides}

y = - x + 10         ←    slope-intercept form

Alexis can buy an 12-pound- bag of dog food for $10.80 or an 8-pound bag of the same dog food for $10.20. Which is the better buy?

Answers

Answer:

The 12-pound bag of dog food.

Step-by-step explanation:

To find out which is the better buy you start by divinging 10.80 by 12 and then you divide 10.20 by 8 and you get .90 cents for the 12 pound while you get 1.275 dollars. Which means the 12 pound bag is the better by because it is less money per pound than the 8 pound bag.

HELP!! What is the exact value of Tangent (pi/12)
A. StartFraction 1 Over 2 + StartRoot 3 EndRoot EndFraction
B. StartFraction 1 Over StartRoot 3 EndRoot EndFraction
C. StartFraction 3 Over StartRoot 3 EndRoot EndFraction
D. StartFraction 1 Over 2 minus StartRoot 3 EndRoot EndFraction

Answers

Answer:

2 - sqrt(3)

Step-by-step explanation:

Split pi/12 into two angles where the values of the six trigonometric functions are known.

tan (pi/4 - pi/6)

Apply the difference of angles identity

[tex]\frac{tan(pi/4) - tan(pi/6)}{1 + tan(pi/4)tan(pi/6)}[/tex]

tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3

Plug in and Simplify

[tex]\frac{1-\frac{\sqrt{3} }{3} }{1+1\frac{\sqrt{3} }{3} }[/tex]

[tex]\frac{\frac{3-\sqrt{3} }{3} }{\frac{3+\sqrt{3} }{3} }[/tex]

[tex]\frac{3-\sqrt{3} }{3} *\frac{3}{3+\sqrt{3} }[/tex]

[tex]\frac{3-\sqrt{3} }{3+\sqrt{3}}[/tex] Need to multiply this by [tex]\frac{3+\sqrt{3} }{3+\sqrt{3} }[/tex]

Expand and simplify numerator: [tex]\frac{6}{(3+\sqrt{3} )^{2} }[/tex]

Expand and simplify denominator: [tex]\frac{6}{12+6\sqrt{3}}[/tex]

Cancel the common factor: [tex]\frac{1}{2+\sqrt{3}}[/tex]

Answer:

D: 1/2 - √3.

Step-by-step explanation:

The Unit Circle is a circle with radius 1 that is used to determine the value of sine and cosine of any angle.

But that table do not directly give the exact value so to solve for its exact value, express π/12 as a sum or difference of two angles where the values of the six trigonometric functions are known.

tan π/12 = tangent (π/4 - π/6)

Using the the difference of angles identity we get,

tan (π/4 - π/6) = (1 - √3 / 3) / (1 + 1 x √3 / 3)

Multiply by 3,

tan (π/4 - π/6) = (3 - √3) / (3 + √3)

Multiply by 3 - √3

tangent (π/4 - π/6) = (3 - √3)(3 - √3) / (3 - √3)(3 + √3)

FOIL and simplify.

tangent (π/4 - π/6) = 9 - 6√3 + 3 / 9 -3

tangent (π/4 - π/6) = 1/2 - √3

The ruler below shows a 7-inch segment divided into 2 equal parts. What is the length of one of those parts?

Answers

Answer:

3.5 inches

Step-by-step explanation:

Which is a composite number 42,29,21,37

Answers

Answer:

42 and 21 are composite numbers

What is 271403 rounded to the nearest thousand

Answers

Answer:

271000

Step-by-step explanation:

Answer: 300,000

Step-by-step explanation:

A recipe for punch calls for 5 parts grape soda to 2 part seltzer. If hector has 10 cups of of grape soda, how much seltzer does he need?

Answers

Answer:

assuming 10 cups it 10 parts then the answer is 4 cups of seltzer

The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?

Answers

Answer:

14.94 degrees higher

Step-by-step explanation:

all you gotta do is find the difference, -49.62 minus -34.68, i suggest a calculator for things that are more difficult to do in your head

Berry Delicious is a popular shop that sells chocolate-covered strawberries. Last year, the shop used 9,200 kilograms of strawberries to make its treats. This year, the shop used 7,739.4 kilograms. What is the percent of decrease in the amount of strawberries used annually?

Answers

Answer:

15.9%

Step-by-step explanation:

Percent decrease formula =

(Initial value - New value/Initial value) × 100

Initial value = 9200kg

New value = 7739.4kg

Percent decrease = (9200 - 7739.4/9200) × 100

Percent decrease = (1460.6/9200) × 100

Percent decrease = 15.8760869565%

Approximately = 15.9%

The percent of decrease in the amount of strawberries used annually is 15.9%

8s-3x+4k= what is the answer

Answers

Answer:

K= -2s + 0.75x is answer

Step-by-step explanation:

I hope it's helpful!

Answer:

v

Step-by-step explanation:

PLZ HELP ASAP!!!!! Show all work

Answers

Answer:

a) 198.7% interest

Not too sure about answer to (b)

b) 4.75% annualized  

Step-by-step explanation:

a) i used Interest = Principal x Rate x Time

   40 = 525 x [tex]\frac{14}{365}[/tex] x r

    40 = 20.13r

    r = 1.987 or 198.7%

b) i used this proportion:   [tex]\frac{1.98}{1/24}[/tex] = [tex]\frac{x}{1}[/tex]      'x' represents annualized rate

                                                             1/24 represents 2 weeks out of a year

1/24x = 1.98

x = 4.75%

Marta earns 12.50 from babysitting and, and then spends some of her earnings on a new book. She has 8.00 of her earrings left. Write and solve an equation to find the cost of the book. And answer the questions above

Answers

Answer:

$12.50 -  $8:00 = ? , ? = $4.50

Step-by-step explanation:

$12.50 earned from babysitting

Spends some on a new book

$8.00 left

12.50 - 8.00

0-0= 0 , 5- 0 = 5 , 12-8 = 4,

Reverse ur answer and add a dot (.) between 4 and 50

Answer: $4.50, $12.50 -  $8:00 = ? , ? = $4.50


a QR is congruent to QP
b PR is congruent to QP
c PR is congruent to QR

Answers

Answer:

option c

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

because in the end QP go together so it either A or B and it A because thats how the triabgle goes

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