If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

If MN=14, NO=11, And QR=27, Find The Length Of PQ. Round Your Answer To The Nearest Tenth If Necessary.

Answers

Answer 1

Answer:

PQ = 34.4

Step-by-step explanation:

First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74

Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)

This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.

We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that

NO/QR = MN/PQ

Thus,

11/27 = 14/PQ

multiply both sides by PQ to remove a denominator

PQ * 11/27 = 14

multiply both sides by 27 to remove the other denominator

PQ * 11 = 14 * 27

divide both sides by 11 to isolate the PQ

PQ = 14 * 27 /11

PQ = 34.4


Related Questions

Which statement about y= 7x2 + 23x + 6 is true?

Answers

Answer:

Please include the statements too

graphical representation of the function x = f( y) shows that the zeroes will come on​

Answers

Answers

The zeros of a function represent the x-intercept(s) when the function is graphed. The zeros of a function represent the root(s) of a function.

Question 8: Find the equation of the straight line that:
(a) has a gradient of 4 and passes through the point (1, 10)

Answers

Answer:

[tex]y=4x+6[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)

1) Plug the gradient into the equation (b)

[tex]y=mx+b[/tex]

We're given that the gradient of the line is 4. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=4x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=4x+b[/tex]

Plug in the given point (1,10) as (x,y) and solve for b

[tex]10=4(1)+b\\10=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]10-4=4+b-4\\6=b[/tex]

Therefore, the y-intercept of the line is 6. Plug this back into [tex]y=4x+b[/tex] as b:

[tex]y=4x+6[/tex]

I hope this helps!

answer = y = 4x + 6

y = mx + b

gradient = slope = m = 4

(1,10) = (x,y)

plug in the values

10 = 4 (1) + b

10 = 4 + b

b = 6

y = 4x + 6

the diagram on the right shows a circle.given that the length of arcs RS=2QR , angle QPR=35° and anglePSQ=45°,determine the value of
(a) angle SPR
(b) angle SRP

Answers

9514 1404 393

Answer:

  (a) ∠SPR = 70°

  (b) ∠SRP = 30°

Step-by-step explanation:

The applicable relationships are ...

the measure of an arc is twice the measure of the inscribed angle it subtendsthe sum of measures of the arcs of a circle is 360°the sum of measures of the angles of a triangle is 180°

__

QR is subtended by 35° inscribed angle QPR, so is 2×35° = 70°.

PQ is subtended by 45° inscribed angle PSQ, so is 2×45° = 90°.

RS is 2×QR, so is 2×70° = 140°.

(a) Inscribed angle SPR is half the measure of arc RS, so is 140°/2 = 70°.

__

(b) Arc SP is the remaining arc in the circle, so is ...

  arc SP = 360° -arc PQ -arc QR -arc RS = 360° -90° -70° -140° = 60°.

Inscribed angle SRP is half the measure of arc SP, so is 60°/2 = 30°

A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age

Answers

Answer:

Son's age is 25.

Step-by-step explanation:

Let the Father's age be 2x.

Let the son's age be x.

Five years ago:

Man's age will be = 2x - 5

Son's age will be = x - 5

If the ratio of their ages five years ago was 9:4, then:

2x - 5/x-5 = 9/4

⇒ 4(2x - 5) = 9(x - 5)

⇒ 8x - 20 = 9x - 45

⇒ -20 + 45 = 9x - 8x

⇒ 25 = x

∴ x = 25

Hence, the son's age = 25 years

If x = 25, the father's age (2x) will be 2 × 25 = 50 years

Find the values of x and y from the following equal ordered pairs. a) (x,-2) = (4,y) b) (3x, 4) = (6, 2y) c) (2x-1, y + 2) = (-1,2) d) (2x + 4, y + 5) = (3x + 3,6) e) (x + y,y + 3) = (6, 2y) f) (x + y, x - y) - (8,0)​

Answers

Answer:

a)

x=4, y=-2

b)

x=2, y=2

c)

x=0, y=0

d)

x=1, y=1

e)

x=3, y=3

f)

x=4, y=4

Step-by-step explanation:

a) (x,-2) = (4,y)

x=4

y=-2

b) (3x, 4) = (6, 2y)

3x=6 => x=2

2y=4 => y=2

c) (2x-1, y + 2) = (-1,2)

2x-1 =-1 => x=0

y+2 = 2 => y=0

d) (2x + 4, y + 5) = (3x + 3,6)

2x+4 = 3x+3 => x=1

y+5 = 6 => y=1

e) (x + y,y + 3) = (6, 2y)

x+y = 6 => x+3 = 6 => x=3

y+3 = 2y => y=3

f) (x + y, x - y) - (8,0)​

x+y = 8 => 2x=8 => x=4

x-y = 0 => x=y => y=4

Create an exponential function, and then create a second exponential function that shifts your original function down 7 units

Answers

Answer:

A general exponential function is written as:

f(x) = A*e^(k*x)

Where A and k are real numbers.

Because we want to "create" a exponential function, we must assign numbers to A and k, let's assign:

A = 1

k = 1

then our function is just:

f(x) = e^(x)

Now we want to shift down 7 units.

So let's describe a general vertical shift.

For a general function f(x), a vertical shift is written as:

g(x) = f(x) + N

if N is positive, the shift is upwards

if N is negative, the shift is downwards.

Here we want to have a shift down of 7 units, then we would write:

g(x) = f(x) - 7

Replacing by the actual function f(x) we get:

g(x) = e^x - 7

Below you can see the graphs of both functions:

Where the orange one is f(x) and the purple one is g(x).

प्रश्नावली- 13.2 1. एक तम्बू के नीचे का भाग लम्बवृत्तीय बेलनाकार तथा ऊपरी भाग शंक्वाकार है। यदि तम्बू के आधार का व्यास 14 मील बेलनाकार भाग की ऊँचाई 5 मीटर तथा तम्बू की सम्पूर्ण ऊँचाई 14 मोटर है तो तम्बू का आयतन ज्ञात कोजिए। P.01 :​

Answers

I can't understand the meaning of question

Which function has a vertex at (2, 6)?
O f(x) = 2|x – 2| – 6
O f(x) = 2|x – 2| + 6
Of(x) = 2|x + 2| + 6
Of(x) = 2|x + 2| - 6

Answers

Answer:

B

Step-by-step explanation:

Trust me bro. It’s “B.”

find the volume of the cylinder in terms of pi and to the nearest tenth

Answers

Answer:

100π

Step-by-step explanation:

Before we even begin solving for the volume we should note that the question says to find the volume of the cylinder " in terms of pi". this means that if pi is present we do not apply it to our final answer and we just leave our answer as __pi

Having that being cleared let's find the volume

volume of a cylinder = πr²h

where r = radius and h = height

looking at the figure the cylinder has a known radius of 5in and a given height of 4in

so r = 5 and h = 4

that being said we want to plug in these given variables into the volume of a cylinder formula

V = πr²h

r = 5 and h = 4

V = π5²4

5²=25

25(4)=100

V = 100π

once again we must leave our answer in terms of pi so the final answer would be 100π

add the quotient of d and b and the difference of c and a

Answers

Answer:

d/b + c - a

Step-by-step explanation:

if there is nothing missing from the problem statement, then this is the only possible answer.

Do you agree? Explain why or why not.

Answers

Answer:

if x = 4

[tex]\sqrt{8 + 1} + 3 = 0[/tex]

[tex]\sqrt{9} + 3 = 0[/tex]

3 + 3 = 0

6 = 0

wrong.

Yes as 8 + 1 is 9
Square root of 9 can be either 3 or -3 and -3 +3 is 0

simplify the following radical expression -7√2 + 10 √2

Answers

Answer:

3√2

Step-by-step explanation:

* means multiply

-7√2 + 10 √2

take √2 out of the expression

√2 (-7 + 10)

√2 (3)

3√2

Graph each equation by using the y-intercept and slope
y=-x-4
Y-int=______
Slope=_____
whats the y-intercept and slope for this equation?

Answers

Answers:

y intercept = -4

slope = -1

==========================================

Explanation:

The given equation is the same as y = -1x + (-4)

Compare this to y = mx+b form, and we see that

m = -1 is the slope

b = -4 is the y intercept

To graph y = -x-4, you could plot the two points (0,-4) and (1,-5) and draw a straight line through them. Extend the line as far as you can in either direction.

Notice how going from (0,-4) to (1,-5) follows the process "down 1, right 1" which is directly pulled from the slope = -1 =  -1/1.

help me with this please​

Answers

the first line is parallel and the second is 3 times

If P(A) = 2/3, P(B) = 4/5 and P(AnB) = 3/5, what is P(AuB)?

Answers

Answer:

13/15

Step-by-step explanation:

P(A∪B) = P(A) + P(B) – P(A∩B)

            = 2/3 + 4/5 - 3/5

 Getting a common denominator

            2/3 *5/5 + 4/5*3/3  - 3/5 *3/3

             10/15 + 12/15 - 9/15

             13/15

Answer:

[tex] \frac{13}{15} [/tex]

Step-by-step explanation:

We know that,

P(AUB) = P(A) + P(B) - P(A n B)

So,

[tex]P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} [/tex]

hope this helps you.

Have a nice day!

What is the slope of the line that contains the points in the table

Answers

Answer:

C. -5

General Formulas and Concepts:

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from table

Point (-1, 6)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{1 - 6}{0 - -1}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{-5}{1}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = -5[/tex]

Does anyone know this

Answers

The total width is shown as 12 ft. The width of the small square is 2 ft so the width of the larger square is 12-2 = 10 ft.

Area of each square: 10 x 10 = 100

2 x 2 = 4

Total area = 109 + 4 = 104 square ft.

Currently they sell a tub of popcorn for $10. SHOW or EXPLAIN what the cost of the cone of popcorn should be. Door context: The tub has a volume of 540.473 and costs $10. The cone has a volume of 140.035. I need the cost of the cone and preferibly be taught how to do this.

Answers

Answer:

The cost of cone of popcorn is $ 2.59.

Step-by-step explanation:

The tub has a volume of 540.473 and costs $10. The cone has a volume of 140.035.

The cost of per unit volume is

$10/540.473

The cost of cone of popcorn is

[tex]\frac{10}{540.473}\times 140.035\\\\2.59[/tex]

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 3 / 2 - (-1)

-6 / 3

= -2

y = -2x + b

3 = -2(-1) + b

3 = 2 + b

1 = b

Maths Aryabhatta

Brainly moderators

Brainly Stars

Genius users of brainly

Solve the following pair of linear equations using substitution method :-

2x+3y + 5 = 0 ; 5x-3y+9=0​

Answers

Answer:

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

Step-by-step explanation:

Given the 2 equations

2x + 3y + 5 = 0 → (1)

5x - 3y + 9 = 0 → (2)

Rearrange (1) expressing 3y in terms of x by subtracting 2x + 5 from both sides

3y = - 2x - 5

Substitute 3y = - 2x - 5 into (2)

5x - (- 2x - 5) + 9 = 0 ← distribute parenthesis on left side and simplify

5x + 2x + 5 + 9 = 0

7x + 14 = 0 ( subtract 14 from both sides )

7x = - 14 ( divide both sides by 7 )

x = - 2

Substitute x = - 2 into either of the 2 equations and solve for y

Substituting into (1)

2(- 2) + 3y + 5 = 0

- 4 + 3y + 5 = 0

1 + 3y = 0 ( subtract 1 from both sides )

3y = - 1 ( divide both sides by 3 )

y = - [tex]\frac{1}{3}[/tex]

solution is (- 2, - [tex]\frac{1}{3}[/tex] )

A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
If you spin this spinner 1000 times, how many times do you expect it to land on Red?
(Hint: Find n first)

Answers

Given:

A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.

To find:

The expected number of times it land on Red if you spin this spinner 1000 times.

Solution:

A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. So,

[tex]n+3n+8n=240[/tex]

[tex]12n=240[/tex]

[tex]n=\dfrac{240}{12}[/tex]

[tex]n=20[/tex]

The value of n is 20. It means the spinner land on red 20 times if the spinner was spun 240 times. So, the probability of getting red is:

[tex]P(Red)=\dfrac{20}{240}[/tex]

[tex]P(Red)=\dfrac{1}{12}[/tex]

If you spin this spinner 1000 times, then the expected number of times to getting red is:

[tex]E(Red)=1000\times P(Red)[/tex]

[tex]E(Red)=1000\times \dfrac{1}{12}[/tex]

[tex]E(Red)=83.333...[/tex]

[tex]E(Red)\approx 83[/tex]

Therefore, the expected number of times to land on red is 83.

someone help me for this algebra task please

Answers

y = 4 + 8 is the answer

Answer:

The answer is

[tex]4+ x[/tex]

Using the definition of linear equation,

[tex]y = 4 + x[/tex]

Is the answer.

The length of a rectangle is 3
more than 5 times its width.
Find the perimeter of this
rectangle if its area is 92 m2.
[?]m

Answers

Let W = width then length = 5W + 3  

Area = W(5W + 3) = 5W2 + 3W = 92  

5W2 + 3W - 92 = 0 has a negative root and the positive root = 4 (by the quadratic formula)  

The length = 23 and the perimeter = 2(L + W) 2 * 27 = 54

I dont know if this is right because I cant see the last part in less its like that

Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want to walk the shortest distance back to their base. On what bearing should the scouts walk?

Answers

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

[tex]South = 4.2km[/tex]

[tex]West = 7.1km[/tex]

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

[tex]\tan(a) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(a) = \frac{7.1}{4,2}[/tex]

[tex]\tan(a) = 1.6905[/tex]

Take arctan of both sides

[tex]a = \tan^{-1}(1.6905)[/tex]

[tex]a = 59.4^o[/tex]

The bearing that the scout should work is N59.4W for the shortest distance

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let  A represent the angle that the scouts walk

tan∠A = 4.2/7.1

A = 30.6°

The bearing that the scout should work is N59.4W (90 - 30.6) for the shortest distance

Find out more on Trigonometric ratio at: https://brainly.com/question/4326804

Bạn đang kiểm toán khoản mục nợ phải trả của Công ty Hoàn Vũ cho niên độ kết thúc ngày 31/12/200x. Trên bảng cân đối kế toán, có 1 khoản nợ phải trả như sau: - Tiền lương lũy kế phải trả công nhân viên 21.270.000đ - Phải trả cho nhà cung cấp về số hàng mua đã nhận nhưng chưa nhận được hóa đơn vào ngày 30/06/200x: 40.000.000đ yêu cầu: Cho biết các thử nghiệm chi tiết mà bạn cần thực hiện nhằm xác định tính trung thực và hợp lý của các khoản trên.

Answers

Answer:

Never going to give you up.

Step-by-step explanation:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

the width of a newspaper is 13 3/4 inches. The left margin is 7/16 inch and the right margin is 1/2 inch. what is the width of the written page inside the margin?

Answers

Answer:

biggafigure a

mnn

Step-by-step explanation:

Someone please answer this

Answers

Answer:

(x - 1)(5x - 6)

Step-by-step explanation:

Given

5x² - 11x + 6

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 5 × 6 = 30 and b = - 11

The factors are - 5 and - 6

Use these factors to split the x- term

5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )

= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term

= (x - 1)(5x - 6)

Find the measure of the indicated angle

Answers

Answer:

X = 88 degrees

Step-by-step explanation:

Because its an isosceles triangle the two top angles are 46.

46 + 46 = 98

then you take the degree of the triangle 180 and subtract 98 from it to get 88 degrees

Rectangle PQRS is rotated 90° clockwise about the origin.

On a coordinate plane, rectangle P Q R S has points (negative 3, negative 1), (negative 1, negative 1), (negative 1, negative 4), (negative 3, negative 4).

What are the coordinates of R’?
R’(4,–1)
R’(–4,1)
R’(1,4)
R’(–1,–4)

Answers

Answer:

R'  (-4 , 1)

Step-by-step explanation:

Rotation of 90°

(Clockwise)

(x, y) ----> (y, -x)   (take opposite of x, then switch the x and y)

Rotation of 90°

(CounterClockwise)

(x, y)------>(-y, x)

Rotation of 180°

(Both Clockwise and Counterclockwise)

(x, y) ----->(-x, -y)

Rotation of 270°

(Clockwise)

(x, y) ----->(-y, x)

Rotation of 270°

(CounterClockwise)

(x, y)------>(y, -x)

Answer:

The answer is: R'(-4,1).

Step-by-step explanation:

If the 90 degree angle is clockwise, the new figure will be in quadrant 2 (or in the section directly above the pre-image). Therefore, (x,y) maps to (y,-x), which will give us (-4,1).

Other Questions
A stopped organ pipe of length L has a fundamental frequency of 220 Hz. For which of the following organ pipes will there be a resonance if a tuning fork of frequency 660 Hz is sounded next to the pipe?a. a stopped organ pipe of length Lb. a stopped organ pipe of length 2Lc. an open organ pipe of length L;d. an open organ pipe of length 2L. 1. 20kg of water is ejected horizontally in 10s; the speed of the water leaving the nozzle is 30m/s. Calculate the force experienced by a fire-fighter holding the hose. (a) Kafui agreed to pay Basabasa GH5,000.00 if he performed his duties as a second mate on an STC Bus travelling from Accra Ghana to Lagos Nigeria. Basabasa proceeded to act as mate on the Bus, but died a day before the bus arrived at Lagos Nigeria. Alomo, the widow of Basabasa wants to take action in court to recover a portion of the agreed sum. As a lawyer advise her using relevant case law. Cuales son los elementos comunicativos del instructivo Find the distance between the points (-5, -4) and (3, 1).On a coordinate plane, points are at (3, 1), (negative 5, negative 4). Select a qualitative question you are interested in investigating. Discuss the basics of qualitative research: what are the characteristics, what is included, what are the 4 designs of the qualitative type research, which type would be appropriate for your qualitative research question and why? pls help, i have class rn :( in how many ways can alice distribute 12 apples to 3 children (a child can have no apples) The formula for the volume of a cylinder is V = srh.Solve v = rn for h, the height of the cylinder. lactase and carbonic annhydrase are examples of what type of substances In 1995, Mexico joined NAFTA. U.S. tariffs on imports from Mexico and Mexican tariffs on imports from the United States are gradually being removed. How have the quantity of U.S. exports to Mexico and the U.S. government's tariff revenue from trade with Mexico changed? Find the slope of the line that passes through (9, 6) and (5, 5). A company purchased factory equipment for $350,000. It is estimated that the equipment will have a $35,000 salvage value at the end of its estimated 5-year useful life. If the company uses the double-declining-balance method of depreciation, the amount of annual depreciation recorded for the second year after purchase would be:_________ a. $140,000 b. $84,000. c. $126,000 d. $75,600 determine the mass in grams of 3.75 x 10^21 atoms of zinc. (the mass of one mole of zinc is 65.39 g) Click to read "Loveliest of Trees, the Cherry Now," by A. E. Housman. Thenanswer the question.Identify the primary theme of this poem.A. Nature changes as the seasons change.B. We should strive to be immersed in nature.C. Cherry trees are most beautiful in the spring.D. We should take pleasure in nature during our short lives. Factor the expression (-x^2 + 5x + 24.), and use the factors to find the x-intercepts of the quadratic relationship it represents.Type the correct answer in each box, starting with the intercept with the lower value.The x-intercepts occur where x = and x = . A given population proportion is .25. What is the probability of getting each of the following sample proportions what the mining of althoe[tex]y \geqslant 3[/tex] Artificial intelligence + Humanoid robots + Autonomous learning machines = Autonomous humanoid robots? no inravalant answer please don't spam 6. How were American attitudes toward sex changing in the1950s? Manuel delega las responsabilidades a los voluntarios en el hogar de ancianos.Which pronoun would you use to replace the indirect object in the sentence above? (1 point)Select one:a. Lab. Loc. Lesd. Los