Given: A regular hexagon; M is the midpoint of angle NO and RP. Prove: Angle NRM = Angle OPM

Given: A Regular Hexagon; M Is The Midpoint Of Angle NO And RP. Prove: Angle NRM = Angle OPM

Answers

Answer 1

Answer:

Step-by-step explanation:

Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.

So that;

NR ≅ OP (property of a regular polygon)

PM ≅ RM (half of the distance across flats of a polygon)

NM ≅ OM (half of the distance across flats of a polygon)

<NMR ≅ <PMO (vertically opposite angles)

<NRM ≅ <OPM (alternate angle property)

<RNM ≅ <POM (alternate angle property)

This therefore proves that: ΔNRM = ΔOPM


Related Questions

The number of bales of cotton that were grown in selected countries for the year 2008 is as follows: United States - 21,590,000; China - 35,500,000; Brazil - 7,000,000; and India - 21,800,000. Rank the statistics. I WILL GIVE BRAINLIEST PLS!!!

Answers

Answer:

1) China

2) India

3) United States

4) Brazil

Step-by-step explanation:

Find the height of the trapezoid. A trapezoid. The base lengths are 10 meters and 6 meters. The area is 40 square meters.

Answers

Answer:

5 meters

Step-by-step explanation:

A=a+b/2*h

40=10+6/2*h

40=8h

h=5

Answer:

Step-by-step explanation:

36

1, 3, 9, 27, ... What's the pattern rule and the next three numbers?​

Answers

Answer:

multiply by three

Step-by-step explanation:

Step-by-step explanation:

1 x 3 = 3 x 3 = 9 x 3 = 27

=> Pattern rule = [tex]3^{n-1}[/tex]

=> The next three numbers = 81 , 243 , 729

1. Determine which of the following ordered pairs
are solutions to each of the given systems of
inequalities.
[(5,3). (-2, 1), (1.2). (2. -3), (3, 5), (-2,3), (2, 0)]

a. y<-x+3
y>x-2

Answers

For inequality y < -x + 3,
(1,2) satisfy this inequality equation.

For inequality y > x - 2,
(5,3) , (2,0) satisfy this inequality equation.

I need help?!?!
I think it’s 9 ??!!

Answers

Answer:

C. 14

iedujdd

Step-by-step explanation:

i think i searched

Answer:

9

Step-by-step explanation:

Triangle DCE and ACD are similar (they share the angle at A, and since DE║CB, ∠D=∠C and ∠E=∠B (corresponding angles))

That means the side lengths are in ratio:

12/(8+12)=?/(6+?)

0.6(6+?)=?

3.6+0.6?=?

0.4?=3.6

?=9

solve for x: 3(x + 1) = −2(x − 1) + 6.

Answers

Answer:

x=1

Step-by-step explanation:

3(x+1)=-2(x-1)+6

3x+3=-2x+2+6

3x+2x=2+6-3

5x=8-3

5x=5

x=[tex]\frac{5}{5}[/tex]

x=1

what's
[tex]1024 \div 256[/tex]

Answers

Answer:

4 ...................

Step-by-step explanation:

hope the answer was helpful ......

Answer:

1024÷256=4

Step-by-step explanation:

hope u get that

Jean needs 2 gallons of olive oil to make a recipe. If the olive oil 8:00 a quart how much money will she need to buy the olive oil

Answers

Answer:

$64

Step-by-step explanation:

Given that :

Required amount of olive oil = 2 gallons

Cost per quartz = $8

Recall:

1 quartz = 0.25 gallons

Amount of quartz in 2 gallons :

2 / 0.25 = 8 quartz

Cost of olive oil needed :

8 quartz * $8

= $64

PLS PLS HELP ASAP I WILL MARK BRAINLIEST
Using the given equation find the missing coordinates of the points and then find the slope of the line for the equation.
y=3.5x+4; A(...;5), B(10;...)

Answers

Okay so,

A (0.2875; 5), B (10; 39)

THE SLOPE IS 3.5

How can you use equations to solve real-world problems? PLZ

Answers

Answer:

you can use equations to find out how much tip you should give

construction is a big one!

Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for

Answers

Ans: 1205.76 units^3

Explanation:

Volume of cylinder

= base area x height

= 3.14 x 8² x 6

= 3.14 x 64 x 6

= 1205.76 units^3


In this question, I used 3.14 instead of π.

Base area = πr²

Hope it helps :), mark me brainliest please!

Which pair of numbers has a sum of 100?

( A) 39,61

(B) 49,61

(C) 59, 51

(D) 39,51

Answers

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

How many solutions does this linear system of equations have?
x – 3y = 5
-3x + 9y = -7

Answers

9514 1404 393

Answer:

  zero

Step-by-step explanation:

Dividing the second equation by -3, it becomes ...

  x -3y = 7/3

Compared to the first equation, ...

  x -3y = 5

we see that it is inconsistent. No values of the variables can satisfy both equations. There are no solutions.

2.

Which equation best describes the graph??

y = 3x + 1
y = -3x + 1
y = -3x - 1
y = 3x - 1

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

solve the equation
[tex]6 - 2x = 3x[/tex]

Answers

x= 6/5

Work:
6-2x=3x
-2x=3x-6
-5x=-6
x=6/5

That’s all simplified step by step, hope this helped

A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies.
Is function C a piecewise function? Explain your reasoning.

Answers

probably it's 8 or 4. and as $8 is the initial fee, that sounds like the starting value. :-)

the line equation you need is the slope intercept form y = mx + b where m = gradient and b = y intercept.

in this case, y = 4x + 8 where x = number of movies seen, and y = total cost in $

for this line m = 4 and b = 8. hence, indeed, the y intercept is 8

Mark as brainlist

Answer:

Step-by-step explanation:

C is a piecewise function because it represents more than one type of deal.

1/2 as a decimal <3 thank you

Answers

Answer:

0.5 is the decimal form of 1/2

Answer:

0.5 I hope this helps!

Step-by-step explanation:

HELP HELP HELP We can think of 8 ÷ 2 as the answer to the question “How many groups of 2 are in 8?” What is the answer to the question? *

Answers

The question is how many groups of 2 is in 8.
-2 goes into 8, four times
-8 divided by 2 is 4

The answer is four.

Negative 8 times 2/3

Answers

Answer:

[tex]-\frac{16}{3}[/tex]

Step-by-step explanation:

This is simple multiplication. To make this easier to solve, let's modify the fraction so it looks like this:

[tex]-8*2*\frac{1}{3}[/tex]

You could also change it to this:

[tex]\frac{-8}{1}*\frac{2}{3}[/tex]

Do these look simpler? Hopefully they do!

Now, let's multiply the numerators. When multiplying fractions, we multiply numerators and denominators separately. Here, that means we could, taking both paths, do this:

[tex]\frac{1}{3}(-8*2)[/tex]

[tex]=\frac{1}{3} (-16)[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

Or we can do this:

[tex]\frac{-8}{1} *\frac{2}{3}[/tex]

[tex]=\frac{-8*2}{1*3}[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

But what if the denominator of one fraction has a common factor with the other number or the other fraction's numerator? We would find the common factor, and cancel it out to simplify. We could do this before multiplying, during the multiplication, or after multiplying.

In the case of a number times a fraction, it could also be seen as division, as fractions are essentially that: one number divided by another, except we aren't using the decimal.

I hope this helps you understand, so you don't need to ask this again! It's about 8:00 AM where I am as I'm writing this answer, so good morning and have a wonderful day!

The equivalent value of the fraction is A = -16/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the second number be represented as q

Now , A = pq

when the value of p = 2/3

And , when the value of q = -8

On simplifying the equation , we get

A = ( 2/3 ) / ( -8 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/3 ) / ( -8 )

A = ( 2/3 ) / ( -8 )

A = ( -8 x 2 ) / ( 3 )

On simplifying , we get

Multiply by -8 on the fraction , we get

A = ( -8 x 2 ) / 3

A = -16/3

Therefore , the value of A = -16/3

Hence , the fraction is A = -16/3

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ6

ILL GIVE BRAINLIEST PLS HELP ME

Answers

Answer:

1 and 4 come in yes and 2 and 3 come into no mark as brainliest

1, 4 = yes
2,3 = no
hope i helped !

Terry is building a rectangular pen for her sheep. She wants the perimeter of the pen to be no more than 65 feet, and the length of the pen to
be at least 17 feet.
Which system can be used to find the possible values for the length (l) and width (w) of a rectangular pen for Terry's sheep?

Answers

If this is multiple choice it’s D I remember something like this a while ago

Answer:D!

Step-by-step explanation: i’m taking the test rn!

12x + 24y + 18z using GCF

Answers

Answer: 6
Hope this helps : )

Please can I have the workings too​

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{3-2a}{a^2}[/tex]

Step-by-step explanation:

Before we can subtract the fractions we require them to have a common denominator.

Multiply the numerator/ denominator of [tex]\frac{2}{a}[/tex] by a , then

[tex]\frac{3}{a^2}[/tex] - [tex]\frac{2a}{a^2}[/tex] ← with common denominator a²

Add numerators leaving the denominator

= [tex]\frac{3-2a}{a^2}[/tex]

The expression (2x+2x)+(5x+5x)+(1+1) represents the perimeter of a triangle. Select the answer below which shows this expression in simplest form.

HINT: Simplest form means combined 'like' terms.

100 Points
A
14x + 2

B
16x

C
40x + 2

D
16

Answers

Answer:

A) 14x + 2

Step-by-step explanation:

(2x + 2x) + (5x + 5x) + (1 + 1)

= 4x + 10x + 2

= 14x + 2

You can only add 4x and 10x since they both have a variable (x). You cannot add 2 since 2 doesn't have a variable, so the answer in simplest form is 14x + 2

Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?


Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answers

Step-by-step explanation:

4m = 16

divide both sides by 4

m = 4

he has 4 model trains

U estimate that there are 40 marbles in a jar the actual amount is 48 marbles find the percent error round to the nearest 10th of a percent

Answers

Answer: 10.7%

Step-by-step explanation:

The percentage error will be calculated as:

Estimated value - Actual value / Actual value × 100

= (40 - 48) / 48 × 100

= 8/48 × 100

= 1/6 × 100

= 10.7%

state true or false :every natural number is a whole number

Answers

Answer:

true , because natural number is starte on no.1 to infinity but whole no. is started on 0 to infinity so it is true .

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

Graph the image of △JKL after a reflection over the line y=x

Answers

Answer:

K (2,-4)

L (4,-6)

J (2,-9)

Step-by-step explanation:

The required graph of the image of △JKL after a reflection over the line y=x has been attached below.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle △JKL is given in the represented graph, which vertices are as follows :

J (-9, 2)

K (-4, 2)

L (-6, 4)

The image of △JKL after a reflection over the line y = x will be triangle △J'K'L' that vertices are as follows :

K' (2,-4)

L' (4,-6)

J' (2,-9)

Hence, the required graph of the image of △JKL after a reflection over the line y=x has been attached below.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ2

In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the
nearest degree

Answers

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

Using Law of Cosines in triangle OPQ, we get

[tex]\cos P=\dfrac{o^2+q^2-p^2}{2oq}[/tex]

[tex]\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}[/tex]

[tex]\cos P=\dfrac{490000+384400-705600}{868000}[/tex]

[tex]\cos P=\dfrac{168800}{868000}[/tex]

On further simplification, we get

[tex]\cos P=0.19447[/tex]

[tex]P=\cos^{-1}(0.19447)[/tex]

[tex]P=78.786236[/tex]

[tex]P\approx 79[/tex]

Therefore, the measure of angle P is 79 degrees.

Answer:

79

Step-by-step explanation:

And can you please explain what does
SAS-AA-ASA-SSS mean

Answers

This is how a triangle is equal to one another, SAS is side angle side, AA is angle angle, ASA is angle side angle, and SSS is side side side, yours looks like AA but I might be wrong. I believe it is AA, so if you have no clue just go with AA

Answer:

sas means side angle side

aa means angle angle

asa means angle side angle

sss means side side side

hope it helps you

please mark me as brainlist

Other Questions
Economist feel the best way to evaluate the cost of a decision is to consider EVERY possible alternative choice.truefalse Randy, a skateboard daredevil takes chances, such as grinding more thanfifty feet above the concrete.correct an error in the underlined portions y= 5x - 7-3x - 2y = -12Solve each system of equations using the substitution method Give the solution in (x,y) form The mean of 5 numbers is 4. What happens to the mean if the number 10 is added to the data set? A. The mean increases by 6. B. The mean increases by 5. C. The mean increases by 3. D. The mean increases by 1. 1Select the correct answer from each drop-down menu.Correctly identify the following software design concepts.The following are some commonly used software design concepts:-structural partitioning-control hierarchy -Modularity-Abstractionrefers to the concept that software architecture has the ability to divide into modules and that eachmodule can be examined independently.-Refinement -Modularity-Abstraction-Control hierarchyis a process that elaborates on each design component until it reaches the coding details.-Software procedure-Structural partitioning-Data Structureallows designers to split a program structure horizontally and vertically.-Software architecture-Structural partitioning -Modularity-Data Structurerepresents logical relationships between individual data elements. EXPRESA EN METROS :A= 3 km 8 hm 5 dam B= 8 dam 5 m 7 cm C= 1 m 4 dm 6 cm 7mm Would the mass of a mouse more likely be 150 gram or 150 kilograms Help pleaseeeeee!!!!!!!! I really need someone's help please! Which expression is equivalent to 1/4(12x + 16) + 3x + 7Please help!!!a. 15/4x + 7b. 15x + 23c. 6x + 23d. 6x + 11 Why is prioritization an important skill to practice as a student? hlep plees hi i need to do a test for mi 1 grad clas what 2-2= 3-1= and for my hom work what is 56-210=300x 285please help Kimberly ran her first race in 3.15 hours. She ran her second race in 2.90 hours. Rounding each time tothe nearest hour, about how many hours did it take Kimberly to run both races? John roller skates 48km in 3 hours. What is his average speed in kilometers per hour? Vosotros nunca(ir) al supermercado. 32 - 35. Why was the Catholic Church able to have such control over the peopleduring the Middle Ages? What did they provide? What was their downfall? * A water faucet leaks 3/5 of a liter of water in 3/4 of an hour. Which TWO statements are correct for this situation1. The faucet leaks 4/5 liter per hour.2. The faucet leaks 5/4 liter per hour.3. The faucet leaks 2/5 liter per 1/2 hour.4. The faucet leaks 3/8 liter per 1/2 hour5. The faucet leaks 3/10 liter per 1/2 hour. 1. Peter bought 3/4 kg of corn bits. He repacked this into 1/8 kg. each. Howmany packs of corn bits was he able to mmake? Daisy's point of view in chapter five great Gatsby 4 types of plate boundaries and earth features they form