The diagram shows quadrilateral MNPQ.

Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.

What is the length of line segment MQ?
8 units
10 units
11 units
15 units

Answers

Answer 1

Answer:

The answer is 11 units

Step-by-step explanation:

I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.

Hopes this helps!

Answer 2

For the given quadrilateral MNPQ, the length of MQ is 11 units.

Therefore, the option C is the correct answer.

Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.

We need to find the length of side MQ,

MQ = MR + RQ............(i) [segment addition property]

To find MR and RQ, we will have to do a construction in the figure given,

(Refer to the diagram attached)

Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.

So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,

So, we get,

QR = 3 and NR = 6.

Also, we have a right triangle MNR, where MN is the hypotenuse,

Using the Pythagoras theorem, we can find the length of MR,

MR² = MN² - NR²

MR = √(10² - 6²)

MR = √(100 - 36)

MR = √64

MR = 8

Putting the values of MR and QR in equation (i), we get,

MQ = MR + RQ

MQ = 8 + 3

MQ = 11

Hence the length of MQ is 11 units.

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The Diagram Shows Quadrilateral MNPQ.Quadrilateral M N P Q Is Shown. Sides N P And M Q Are Parallel.
The Diagram Shows Quadrilateral MNPQ.Quadrilateral M N P Q Is Shown. Sides N P And M Q Are Parallel.

Related Questions

Four friends order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below.
Matthew eats 0.8 of a pizza
3
Lily eats 1/4 of a pizza
George eats 77 % of a pizza
Sam eats 82% of a pizza
Which person eats the most pizza?

Answers

Answer:

Sam

Step-by-step explanation:

Mathew: 0.8 = 80%

Lily: 1/4 = 25%

George: 77%

Sam: 82%

Hi, guys I am sorry to bother you but can yall help me. I will also be giving 540 points for free.

Answers

Answer:

question one C D E question two is A

The equation a = 26w gives the area of a (in square feet) of a rectangle dance floor with a width of w feet help please this is hard

Answers

Answer:

26ft

Step-by-step explanation:

Complete Question:

The equation a = 26w gives the area of a (in square feet) of a rectangle dance floor with a width of w feet. Find its length

Formula for calculating the area of a rectangle is expressed as shown;

Area of a rectangle = Length * Width

Given the equation a = 26w that gives the area of a rectangle

On comparing with the formula;

Length * Width = 26w

Length = 26ft (by comparison)

Hence the length of the rectangle is 26ft

CAN SOMEONE PLEASE HELP ME WITH THESE 2 QUESTIONS??

Answers

1. 22/20
2. 7/20

You need to make both of the denominators the same then either subtract or add the numerator
The answers are:
1.) 11/10
2.) 7/20

Solve for x.

−12x+13>35
is x greater than or less then the answer

Answers

Answer:   sorry about that your answer would come out to be -8/15

which i believe is less than x

Step-by-step explanation:    

Answer:

x < -11/6

Step-by-step explanation:

and boom

Solve for x in the diagram below.
120°
3xº
21
X =

Answers

Answer:

x = 40

Step-by-step explanation:

[tex]3x \degree = 120 \degree \\(vertical \: \angle s) \\ \\ x \degree = \frac{120 \degree}{3} \\ \\ x \degree = 40 \degree\\ \\ x = 40[/tex]


Understanding Intercepts
What is the x-value of the y-intercept? How do you
know?

Answers

Answer:

0

Step-by-step explanation:

The x-value in the y-intercept must be zero. This is because the y-intercept is where a line or function intersects with the y-axis. All points on the y-axis have an x-value of 0. Therefore, all y-intercepts will have an x-value of 0 and look like (0,b).

Answer: x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by  linear function y=ax+b we find coordinates of the point A represent x intercept  using value for the second coordinate y=0 then return this value to linear function

0=ax+b       subtract b from both sides

-b     -b

-b=ax          divide by a which id different then 0

-b/a=x

X-itercept is a point A(-b/a, 0)

 

For y intercept point B (x.y) our first coordinate x=0, return this value to the linear function y=ax+b

y=a*0+b  

Y=0+b

y=b

y intercept is a point B(0,b)

For the special types of linear equations:

1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)

2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.

3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).

4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines

Step-by-step explanation:     Example y=2x+6. For x intercept  y=0, return to linear function and in the place oy poot its value  

               0=2x+6    subtract  6

              -6      -6

              -6=2x          divide by 2

              -3=x                                                                                                      

X intercept points is a point A(-3,0)                                                                                                                        

For the y intercept point B(x,y)  x=0, return to linear function and in the place of x poot its value

              y=2x+6

              y=2*0+6

              y=0+6

              y=6

x intercept is a point B(0,6).

Which is the correct spelling of trigonometry

Answers

Answer:

trigonometry

Step-by-step explanation:

hope this helps lovely

Answer:

trigonometry

Step-by-step explanation:

Have a great day!

The eyes of a basketball player are 5 feet above the floor. The player is at the free throw line, which is 15 feet from the point on the floor directly below the center of the basket. The rim of a standard basketball hoop is 10 feet of the floor. What is the angle of elevation from the player's eyes to the center of the rim?

Answers

Answer:

18.44°

Step-by-step explanation:

The line of sight of the player to the rim, the height of the eyes of the player above the floor, the distance of the player from the center of the rim and the height of the center of the rim above the ground form a trapezium. The height  of the center of the rim above the ground and  the height of the eyes of the player above the floor form parallel sides.

Since The height  of the center of the rim above the ground = 10 ft and the height of the eyes of the player above the floor = 5 ft, the height of the triangular part of the trapezium is 10 ft - 5 ft = 5 ft. The base of this triangle is parallel to the side of distance of the player from the center of the rim = 15 ft. So the base of this triangle is 15 ft. Since the angle of elevation Ф of the line of sight of the player to the rim is adjacent to this base = 15ft and opposite to the height of the triangle = 5ft,

By trigonometric ratios,

tanФ =opposite/adjacent = 5 ft/15 ft = 1/3

Ф = tan⁻¹(1/3)

Ф = 18.435°

Ф ≅ 18.44°

3T= _______lbs


8,000 lbs


6,000 lbs


4,000 lbs


2,000 lbs

Answers

Answer:

3 t = 6000 lb

Step-by-step explanation:

Hope it is helpful...

Kurt has c comic books. Sandra has 18 times as many comic books as Kurt. Write an expression that shows how many comic books Sandra has.

Answers

Answer:Sandra =  18c

Step-by-step explanation:

Given that Kurt has c comic books

And

Sandra has 18 times as many comic books as Kurt.

We can say the expression to show how many comic books Sandra has will be

Kurt =  c

Sandra =  18c

PLS HELP I REALLY NEED THE ANSWER

Answers

Answer:

2b: -29 - 13x - 6n

3a: -6

3b: m = 1

What is the mean: 15, 12, 9, 7, 4, 25, 5

Answers

The mean is 11
Hope that helped :D
Answer: the mean is 11

Steps:
Mean- the mean is the total of all the numbers added up divided by the total amount of numbers.

(15 + 12 + 9 + 7 + 4 + 25 + 5)/7
77/7 = 11

A support wire for a utility pole is 40 feet long. The wire is attached to the ground 24 feet from the base of the pole. How tall is the utility pole?

Answers

Answer:

32 feet

Step-by-step explanation:

given the following;

Length of wire = 40feet = hypotenuse

Base of the pole = 24 feet = adjacent

Required

Height of the pole (opposite)

Using the pythagoras theorem;

hyp^2 = opp^2 + adj^2

40^2 = 24^2 + opp^2

1600 = 576 +opp^2

opp^2 = 1600 - 576

opp^2 = 1024

opp = √1024

opp = 32feet

Hence the utility pole is 32feet tall

linear equations that share the same slope are peroendicular. true or false​

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

:This is FALSE Linear equations that share the same slope are PARALLEL.

:

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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?

Answers

Answer:

First option seems to b correct..

Step-by-step explanation:

Given data set  shows following ...

Sample size: 12

Median: 22

Minimum: 6

Maximum: 30

First quartile: 13

Third quartile: 27.5

Interquartile Range: 14.5

Outliers: none

Basically box and whisker represents 5 things.In case of box and whisker  

The most left point of left side represents the Stating point of data smallest value

The most right  point of right side represents the ending point of data largest value of data

left side of box respresnts the Q1 lower quartile while right side represnts

the upper  quartile Q3 ..

And there is line somewhere in box  that represents the  medianof data set..

The box and whisker plot which gives the correct representation of the dataset given is the plot A.

Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17

To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :

Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :

Median: 22Minimum: 6Maximum: 30First quartile: 13Third quartile: 27.5Interquartile Range: 14.5Outliers: none

Therefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.

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Dividend:

2x3 + 11x2 + 18x + 9

-6x3 - 15x - 9

2x2 + 5x + 3
Quotient:

2x4 + 11x3 + 18x + 9

2x3 + 5x2 + 3x

2x2 + 5x + 3

Answers

Answer:

Divisor-D Dividend- A Quotient-C

Step-by-step explanation:

It is to be noted that in the subtopic of Polynomials, a dividend is the factor or element being divided while the element that results from the division of one number using another is called the quotient.

What is a Divisor?

In mathematics, a divisor is a factor or number that divides another leaving no remainder.

That is Dividend/Divisor = Quotient. It is important to note that in Polynomials, there is usually more than one similarity as far as the terms are concerned.

The full question is unavailable hence the general answer.

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The width of your desk is 26 inches. How long is 75% of the width? Round to the nearest tenth if necessary.

Answers

Answer:

19.5

Step-by-step explanation:

Mutiply 26 by .75

Someone find x !!!!!!

Answers

14. 128
15.25
16.90
those should be right


What is the solution of the system?
y = 5x
x + y = 12

Answers

Answer:

x = 3

Step-by-step explanation:

y = 5x

x + y = 12

x + 5x = 12 (substitute 5x in the place of y)

6x = 12

x = 12/6

x = 3

Answer:

Step-by-step explanation:

y=5x

+5(y)=(12-x)+5  which distributing is +5y= +60-5x

y=5x

+5y=+60-5x

6y=60

y=10

10=5x

x=2

There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?

Answers

Answer:

7 penguins are in the water.

21 penguins in all.

Step-by-step explanation:

14 penguins on the rocks.

Half of them equals 7 are in the water swimming.

7 + 14 = 21

7 penguins are in the water.

21 penguins in all.

The number of penguins in water = 7 penguins

The total number of penguins  = 21 penguins


What are word problems?

Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.

From the information given:

There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimming

Thus, the number of penguins in water = 7 penguins

The total number of penguins overall = penguins in water + penguins on the rock

The total number of penguins overall = 7 + 14

The total number of penguins overall = 21 penguins

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Line ST is perpendicular to line PR.
What is the measure of ZSQU?
90°

32°

148°

58°

Answers

Given:

Line ST is perpendicular to line PR.

[tex]m\angle PQV=32^\circ[/tex]

To find:

The measure of angle SQU.

Solution:

Line ST is perpendicular to line PR.

[tex]m\angle SQR=90^\circ[/tex]

If two lines intersect each other, then the vertically opposite angles are equal.

[tex]m\angle UQR=m\angle PQV[/tex]       (Vertically opposite angle)

[tex]m\angle UQR=32^\circ[/tex]

Now,

[tex]m\angle SQR=m\angle SQU+m\angle UQR[/tex]

[tex]90^\circ=m\angle SQU+32^\circ[/tex]

[tex]90^\circ-32^\circ=m\angle SQU[/tex]

[tex]58^\circ=m\angle SQU[/tex]

Therefore, the correct option is D.

I need the answer very fast plz hurry

Answers

Answer:

2x=110 degree

2y=70 degree

Solve and find out which king of solutions is it
x-y=-2
-x+y = 4

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

six times the sum of nine and a number

Answers

Answer:

6(9+x)

Step-by-step explanation:

Answer:

[tex]6(x + 9)[/tex]

mmm it's according to me

pls help me im dying. I did 22 math study islands and my mom is still making m do more. My brain isnt working i dont remeber how to do this nd i dnt have the motivation to anymore please help me.

Answers

Answer:

Okay its okay

Step-by-step explanation:

The answer is A
but you need to calm down

Tony is installing a rectangular pool in the backyard. The pool
needs to have a length of 10 feet more than the width. The
backyard is a square shape with each of the sides measuring 5
feet more than 3 times the width of the pool. Write an
expression for the area surrounding the pool after the pool is
installed. Show your work. Enter the correct expression and
work in the box.
Pls I need helppppppp

Answers

Answer:

Abackyard = (3w + 5)2

Apool = w(w + 10)

Asurround = (3w + 5)2 - w(w + 10)

A=8w2+20w+25

The expression for the area surrounding the pool after the pool is

installed is  (3w + 5)² - w(w + 10).

What is Area?

The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.

We have,

The pool needs to have a length of 10 feet more than the width.

Then, the area of pool is

= w(w + 10)

and, The backyard have sides measuring 5 feet more than 3 times the width of the pool.

Then, area of backyard

= (3w + 5)²

Now, the area surrounding the pool after the pool is

=  (3w + 5)² - w(w + 10)

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The cubic crystal company has a new crystal cube they want to sell. The packaging manager insists that the cubes be arranged to form a rectangular prism and that the package be designed to hold the crystal cubes exactly, with no leftover packaging. Each crystal cube measures 1 in x 1 in x 1 in. There are 24 crystal cubes to be sold in a box. What are the dimensions of the possible box designs in inches?

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]height \ \ \ \ \ \ \ Width \ \ \ \ \ \ \ Length\\\\[/tex]

   [tex]1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\\\\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\[/tex]

Answer:

Step-by-step explanation:

Height width length

Type your answer below:

Height Width Length

1 in               1in          24in

                    2in        12in

1 in                3in       8in

                    4in         6in

1in                                6in

                   2in             4 in

1 in              3in

2in

2in

   

 

 

     

Factor polynomial by its greatest common monomial factor

Answers

9m is the greatest common monomial factor you can take out of both.

9m(m^2 - 3)

B
10.5
Amy scored a 80% on her
Spanish test. If she got 60
questions correct, what were
the total number of questions
on the test?

Answers

60 = 80% = 0.8
100% = 60/0.8 = 75
Other Questions
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