Segment MN and Segment PQ intersect at R, as seen in the diagram at the right. Find x, m∠ MRQ, m∠ QRN, m∠ NRP, m∠ PRM.

A) x=10, m
B) x=20, m
C) x=15, m
D) x=18, m

Segment MN And Segment PQ Intersect At R, As Seen In The Diagram At The Right. Find X, M MRQ, M QRN,

Answers

Answer 1
Answer is 18

18 • 7 = 126
126 - 11 = 115
4 • 18 = 72
72 - 7 = 65

115 + 65 = 180

They are supplementary angles, which mean they together equal 180°
Answer 2

The value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option  D: x = 18

What are supplementary angles?

Two angels whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Here, we're specified that:

m∠PRM = measure of angle PRM = (7x -11)°m∠NRP = measure of angle NRP= (4x -7)°

They are adjacent and line segments MR and RN are forming a straight line MN, so these angles are supplementary. That means:

(7x -11)° +  (4x -7)° = 180°

Opening the brackets, and solving in terms of magnitude, we get:

[tex]7x - 11 + 4x -7 = 180\\11x - 18 = 180\\11x = 180+18 \\\\x = \dfrac{198}{11} = 18[/tex]

Thus, the value of x which is included in terms of both the angles ∠PRM and ∠NRP is given by: Option  D: x = 18

Learn more about supplementary angles here:

https://brainly.com/question/2882938


Related Questions

Manuel incorrectly claimed that the surface area of the cylinder

shown is about 621.7 in.. Use a formula to find the surface area of the cylinder.

Use 3.14 for it. What was his likely error?

11 in

The surface area of the cylinder is about

(Round to the nearest tenth as needed.)

Answers

Answer:

25.9%

Step-by-step explanation:

Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem

Let us assume the dimension of the cylinder be

radius= 3in

height= 5 in

The expression for the total surface area of a cylinder is

T. S. A. =2πrh+2πr^2

Let us plug in the values to to find TSA

T. S. A. =2×3.14×3×5+2×3.14×3^2

Solving we get

T. S. A. =94.26+56.556

T. S. A. =150.816 in^2

Now let us find the error

we know that error % is calculated as

%error= [actual value-expected value/expected value]×100

%error= [190 -150.816/150.816]×100

%error= [39.184/150.816]×100

%error= 0.259×100

%error= 25.9%

Help and Plz make sure it’s right

Answers

Answer:

8.6

Step-by-step explanation:

Use the pythagorean therom for this

(5.9)^2 + (6.3)^2 = c

c= 74.5

square root of 74.5 is 8.631 or 8.6

hope this helps

Find the midpoint of the line on the coordinate plane with the given endpoints below.
(-1, 1), (5, -5)

Answers

Answer:

Then the midpoint is (2, -2)

Step-by-step explanation:

We treat the x- and y-coordinates separately, first finding the average (mean) of the x-coordinates and then the average of the y-coordinates:

xm = (-1 + 5)/2 = 2

ym = (1 - 5)/2 = -2

Then the midpoint is (2, -2)

Answer:

(2,-2)

Step-by-step explanation:

Two points are given to us and we need to find the midpoint of those two points. The points are

(-1,1) and (5,-5) . Let us say we have two points ( x1,y1) and ( x2 , y2) . The midpoint will be ,

[tex]\implies Midpoint =\bigg( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \bigg) \\\\\implies Midpoint = \bigg( \dfrac{-1+5}{2},\dfrac{1-5}{2}\bigg)\\\\\implies Midpoint = \bigg( \dfrac{4}{2},\dfrac{-4}{2}\bigg)\\\\\implies \red{Midpoint = ( 2 , -2) }[/tex]

if 3 square + 4 square is equals to 5 square then why four square + 5 square is not equals to 6 square​

Answers

Answer:

Logic

Step-by-step explanation:

3 square = 9

4 square = 16

9+16= 25

5 square = 25

4 square = 16

5 square = 25

16+25= 41

6 square = 36

What is the value of the expression 10-1/2^4x48

Answers

Answer:

7

Step-by-step explanation:

Work out the area of a rectangle with base,
b
= 26mm and perimeter,
P
= 70mm

Answers

Step-by-step explanation:
perimeter =2(l+b)
70=2(l+26)
70=2l+52
70-52=2l
18=2l
l=9
length =9
length *breadth =9*26
= 234
area = 234

Given that the triangles are similar find the scale factor of ABC to ACD and the value of X.

SCALE FACTOR ABE TO ACD

Answers

Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75

x= 24[tex]\frac{1}{2}[/tex] or 24.5

Step-by-step explanation:

12+16=28

12+9=21

x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]

x= 14(17.75)=24.5

ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]

ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]

The line passing through (-3 , -6) and (d, -5d) has a gradient of -3.

Find the value of d.

Answers

Answer:

d = 7.5

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (d, - 5d)

m = [tex]\frac{-5d+6}{d+3}[/tex] = - 3 ( multiply both sides by (d + 3) )

- 5d + 6 = - 3(d + 3)

- 5d + 6 = - 3d - 9 ( add 3d to both sides )

- 2d + 6 = - 9 ( subtract 6 from both sides )

- 2d = - 15 ( divide both sides by - 2 )

d = 7.5

Answer is the picture

Tom swam at one pool each of 5 days during one week. The number of people at the pool when he arrived on each of the days were: 12, 19, 17, 26, 26. What is the mean number of people who were at the pool?

Answers

Answer:

The mean is 19.33

Step-by-step explanation:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Which expressions are equivalent to the one below? Check all that apply.

16^x/4^x

Answers

Answer:

C D anf F

Step-by-step explanation:

c : by expanding and canceling 4^x .

d : its the expanded form.

f : its just another way of expressing the expression

Answer : C , D , F
Explanation :

30 points!!!!!


The area of the figure below is__ ft2. Round to the nearest whole
number.

Answers

Answer:

A=522

Explanation:

Solve the question in the picture below. Thank you.

Answers

The answer is 8 units. Hope this helps:)

Answer:

8 units

Step-by-step explanation:

Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 - y1) = 8 - 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

need help on this plz​

Answers

A

Goodluck ggggggguuuuuuuuuuuuuuuu

AYO HELP ME OUT! PLEASE ONLY FULL ANSWERS <3

Answers

Answer:

x=32°

Step-by-step explanation:

ABC+BCA+CDE=180

Substitute

61+57+2x=180

118+2x=180

2x=62

x=32

For brainiest :):):):):):)):):):)

Answers

Answer:

9) 0.46

10) 0.666

11) 18%

12) 2.3%

13) 0.7/ 70%

14) 0.56/ 56%

15) 0.0035/ 0.35%

16) 1.13/113%

Step-by-step explanation:

In ΔDEF, the measure of ∠F=90°, FD = 3.3 feet, and DE = 3.9 feet. Find the measure of ∠D to the nearest degree​

Answers

Answer:

the awnser is 30 degrees

Step-by-step explanation:

You have to look at your d ruler between different angles

The answer is 30 degrees

Which formula can be used to find the volume of a basketball?
A. V = Bh
B.
C.
D.

Answers

Answer:

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Step-by-step explanation:

Since,

Basketball is a spherical object.

Hence,

It's volume would be,

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Answer ^

Answer:

C)  V= 4/3 pie r 3

Step-by-step explanation:

edge 2022

Please help im almost done (this is 12 year old math)​

Answers

Answer:

1.) 12m = d

2.) 120

Answer:

d=12m

$120

Explained

part 1:

d=12m (dollars = $12 times the m (the number of mows))

part 2:

m=10

d=12 (10)

d=$120

You Try: Solve for x and y by using elimination. 4x + y = 7 4x - 2y = -2​

Answers

Answer:

[tex]\boxed {\boxed {\sf (1, 3) \ or \ x=1 \ and \ y=3}}}[/tex]

Step-by-step explanation:

We are given this system of equations:

[tex]4x+y=7\\4x-2y=-2[/tex]

We use elimination to solve to eliminate one of the variables, so we only have to work with one at a time. We do this by adding and subtracting the equations, and sometimes multiplying the entire equation by a number.

Notice how both equations have a 4x. This means they can easily be eliminated, without multiplying the equations by another number first. Let's subtract the 2 equations.

[tex]\ \ \ 4x+y=7\\ -(4x-2y)=-2[/tex]

The 4x will cancel because 4x-4x=0.

[tex]\ \ \ \ y=7 \\ - (-2y) = -2[/tex]

Since there are back to back negative signs, they become addition signs.

[tex]\ \ \ \ y=7 \\+2y=2[/tex]

[tex]3y=9[/tex]

We are solving for y , so we must isolate the variable. It is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.

[tex]3y/3=9/3\\y=3[/tex]

Now we can substitute 3 in for y in the original equations. Let's use the first one.

[tex]4x+y=7\\4x+3=7[/tex]

3 is being added to 4x. The inverse of addition is subtraction. Subtract 3 from both sides.

[tex]4x+3-3=7-3\\4x=4\\[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

[tex]4x/4=4/4\\x=1[/tex]

x is equal to 1 and y is equal to 3. Coordinate points are written as (x, y). The solution to this system of equations is (1, 3).

Clara has 9 pounds of apples. She needs 1 1/4 pounds to make one apple pie. If she saves 2 pounds for applesauce, how many pies, p, can she make? Write an algebraic equation to represent this situation.

Answers

Answer:

She can make :

5 3/5 pies

Algebraic equation =

1 1/4 p = (9 - 2)

Step-by-step explanation:

Clara has 9 pounds of apples. If she saves 2 pounds for applesauce, how many pies, p, can she make?

Total number of pounds of apples = 9 pounds

She saves 2 pounds for apple sauce

The number of pounds of apples left =

9 pounds - 2 pounds

= 7 pounds

She needs 1 1/4 pounds to make one apple pie.

Therefore

1 1/4 pounds = 1 apple pie

7 pounds = p

Cross Multiply

1 1/4 × p = 7 × 1

p = 7 ÷ 1 1/4

p = 7 ÷ 5/4

p = 7 × 4/5

p = 28/5

p = 5 3/5 pies

An Algebraic equation for this situation is:

1 1/4 p = (9 - 2)

Where p = Number of pies

g(x)=3x+2 and h(x)=ax+B
where a and b are constants
h(4)=22
g^-1(14)=h(1)
find the value of a and the value of b

Answers

Answer:

a=6

b=-2

Step-by-step explanation:

You can use the hint provided on the mathswatch question page, I've attached it below

step 1

h(4) = ax+b = (ax4)+b = 4a+b

it is given in the question that h(4)=22, therefore 4a+b=22

step 2

work out the equation for inverse g

g^-1(x) = [tex]\frac{x-2}{3}[/tex]

step 3

input 14 into the equation in place of x to find g^-1(x)

[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]

so, g(x)^-1=4

step 4

find h(1):

h(1) = (ax1)+b = a+b

so, h(1)=a+b

step 5

a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))

step 6

Now you have two simultaneous equations:

4a+b=22

a+b=4

then, solve for a:

4a+b=22

- a+b=4  

3a=18

a=6

then, input answer for a into either equation (I've gone with the a+b=4 equation):

6+b=4

-6   - 6

b=-2

(p.s i know this is very late but hope it helps someone)

PLEASE helppppp me
I’ll give brainlest or whatever it’s called btw

Answers

Answer:

30.5 i think

Step-by-step explanation:

plz let me know if wrong!

Answer:

Step-by-step explanation:

the angles are equivalent, so set them equal to each other

4x + 2 = 124

    - 2      - 2

4x = 122

/ 4     / 4

x = 30.5

I need help on this for brainly

Answers

Answer:

d

Step-by-step explanation:

(7,1)

ADVANCED MATHEMATICIANS ONLY
Brianiest for first answer
Like for first answer
5 star for first answer

Answers

Answer: it is a

Step-by-step explanation:

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning

Answers

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

Can someone help me plzzz and thank you

Answers

Answer:

Yes SAS

Step-by-step explanation:

2 sides are the same

1 90 degree angle for each triangle

Hence the Answer Side-Angle-Side

Which expression is equivalent to `7+10x+x-3?`

Answers

Answer ..........
11x+4

The cost of buying different numbers of bagels is shown. Is the cost a function of the number of bagels bought? Explain.

Answers

Answer:

6

Step-by-step explanation:

Answer:

Yes, because each input (number of bagels) has a single output (cost).

Step-by-step explanation:

You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the number of times you will pick a green marble?

help fast

Answers

Answer:

the possible prediction of getting a purple or blue is 2 out of 6

Step-by-step explanation:

(hope this helps can i plz have brainlist :D hehe)

name a chord shown in this diagram.

Answers

Answer:

R to S

Step-by-step explanation:

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