In the diagram below, angle PNO is congruent to angle PQR. RO = 7.1, PQ = 11.1, and PR= 8.9. Find the length of QN. Round your answer to the nearest tenth if necessary. ​

Answers

Answer 1

Answer:

8.9

Step-by-step explanation:

7.1/8.9=Qn/11.1

QN = 8.9

{ Parallel lines divide in proportion to their segments }

Answer 2

The solution is 8.9

The length of the side of the triangle PNO is QN = 8.9

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔPNO

Let the second triangle be ΔPQR

Now , ΔPNO ≅  ΔPQR

And , The corresponding sides of similar triangles are in the same ratio

So , substituting the values in the equation , we get

RO / PR = QN / PQ

On simplifying the equation , we get

7.1 / 8.9 = QN / 11.1

Multiplying both sides of the equation by 11.1 , we get

QN = ( 7.1 x 11.1 ) / 8.9

The value of QN will be

QN = 8.85

Rounding the value of QN to the nearest tenth , we get

QN = 8.9

Therefore , the value of QN is 8.9

Hence , The length of the side of the triangle PNO is QN = 8.9

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2


Related Questions

plssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

34 hours

Step-by-step explanation:

Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:

1 + 3×M + M = 45

1 + 4M = 45 Subtract 1 in both sides

4M = 44 Divide both sides by 4

M = 11 hours

So Maddie volunteered 11 hours, and Ryan volunteered

1 + 3×11 = 34 hours

The inequality 2x+1>15 will be true when
1. x=7
2. x=0
3. x=10
4. x=5

Answers

Answer:

3.) x = 10

Step-by-step explanation:

Let’s plug it into our equation

2(10) + 1 = 21

21 is greater than 15

4y²=49 solve the equation​

Answers

y = 3.5

steps:
divided both sides by 4
y^2 = 12.25
square 12.25
= 3.5
Solution:

[tex]4y ^{2} = 49 \\ = > {y}^{2} = \frac{49}{4} \\ = > {y} = \sqrt{ \frac{49}{4} } \\ = > y = \frac{ \sqrt{49} }{ \sqrt{4} } \\ = > y = \frac{7}{2} \\ = > y = 3.5[/tex]

Answer:

y = 3.5

Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2

A. -49
B. -7
C. 11
D. 59

Answers

The answer: It’s A- -49
:)
49 a and if you need anything help text me I will always help

I will give you brainliest if you solve the math question

Answers

Answer:

x=60

y=30

Step-by-step explanation:

Answer:



y=30

x=60

Step-by-step explanation:

the value of a + b + c for equation 2 Y - x = 7 is ​

Answers

Answer:

Correct option is

B

1.x+0.y=7

x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation:

here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7

Answers

Answer:

at y = 7

Step-by-step explanation:

When the line cross at the y-axis, x = 0

y = 2*0 + 7

y = 0 +7

y = 7

at y = 7

i cant tell what the question is supposed to mean but if you looking for the y-intercept its 7

Evaluate the algebraic expression x + 2y when w = 12, x = 10, y = 5 and z = 9.
A:12
B:17
C:20
D:27

Answers

Answer:

20

Step-by-step explanation:

Plugin x = 10 and y = 5 in the expression.

x + 2y = 10 + 2*5

          = 10 + 10

          = 20

x+2y Plug in the values of x and y
10+2(5)= 10+10
=20 the answer is C

4(v + 8) = 40

Which solutions makes this equation true?





1. 2


2. 4

Answers

1. 2 as 4 x 2 is 8 and 4 x 8 is 32 so 32 + 8 = 40
Answer: 2

Let’s try v = 4

4(4 + 8) = 40

PEMDAS says do what’s in the parentheses first so

4 x 12 = 40

Now multiply

4 x 12 = 48 not 40 so it’s not that

Now let’s try v = 2

4(2 + 8) = 40

Do what’s in the parentheses

4 x 10 = 40

So 2 is the answer

PEMDAS is

Parentheses
Exponents
Multiply
Divide
Add
Subtract

Hope this helps

long divison divide 664 and 1600

Answers

Answer:

272, remainder 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.41

I got a very long number but then I rounded to the nearest hundreth

Pls help I have 10 minutes

Answers

Answer:

-5p (11p-8p+7p-15p = 4 terms)

100 - 100m 5 terms

-4.1n^3 + 3.6 a^2 + 1.4a. 4 terms

26 x^2y - 22 x y^2. 2 terms (can’t be combine)

Step-by-step explanation:

During basketball practice, Rashed made 36 free throws in 3 minutes. How many
free throws will he make in 5 minutes?

Answers

Answer:

60

Step-by-step explanation:

So 36 divided by 3 is 12, and which then, we know that Rashed made 12 free throws in 1 minute, and then when we multiply by 5, we can know the free throws he will make in 5 minutes.

The perimeter of the rectangle below is 104 units. Find the length of side RS.

Write your answer without variables.

S

3z

R

4z + 3

RS = ]

х

P

Q

Answers

Hhhhh hhhhhh hhhfddh yuh

please help me fast with explanation

Answers

Answer:

1. Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. The sign of the exponent will depend on the direction you are moving the decimal. 4.8×10−23

2.  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.888×10^10

3.The sign of the exponent will depend on the direction you are moving the decimal.4.2×10−3

Just use the same explanation in number 1 to get the right answer.

What is 30 divided by 4? Show your work and explain.

Answers

Answer:

7.5

30

÷

4

__

7.5

4×6=24

4×7= 28

4×8= 32

4×8= X

4×7.5= 30

Please help me out! View the image below!

Answers

Answer:

y=-2x+1

Step-by-step explanation:

Look at the photo i think

there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?

Answers

4 triangles can be created with 3 points on a line.

20 triangles can be created with 6 points on a line.

30 triangles can be created with 7 points on a line.

Combination has to do with selection.

Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:

[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]

[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]

This means that 4 triangles can be created with 3 points on a line.

For a line with 6 points:

[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]

This shows that 20 triangles can be created with 6 points on a line.

For a line with 7 points:

[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]

This shows that 30 triangles can be created with 7 points on a line.

Learn more here: https://brainly.com/question/23885729

Can someone help me plz!!

Answers

Answer:

C

Step-by-step explanation:

f(x) = x + 13. Find the inverse of f(x).
O A. f '(x) = (x+13)
O B. f '(x) = x3 + 13
O c. f '(x) = 23 – 13
O D. f '(x) = (2 – 13)"
SUBMI

Answers

The answer should be x-13

suppose that a and b are rational numbers. which expression is equivalent to a - b?

A. a+b
B. -a + b
C. a + (-b)
D. -a + (-b)


please help! due today

Answers

Answer: Its a

Step-by-step explanation:

m_ABC=M_ABD
what is the reason?

Answers

The reason in this case is :

Answer:

M=m and cis equivalent to d

Over 4 days, Krista deposited $45 into her bank account, transferred $30 1 point
to a friend, deposited $59, and withdrew $18. What was the mean change
per day to Krista's account in dollars during that week? *

Answers

So $59 is $18 I only got $20 dollars and 25 cents so what is that

Guinea made a scale drawing of a window she is making for her house.

1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guinea use to find the length of side B?

Answers

Answer:

The answer is c: 1cm/3in = 3 cm/Xin

Step-by-step explanation:

5 litres into grams.​

Answers

Step-by-step explanation:

Do like this only with no. mark me as brainliest answer

Answer:

Weight in Grams of:

Water     Cooking Oil

5,000 g    4,400 g

Step-by-step explanation:

Hope this helps

-6+6y^2 FACTORIZE AND EXPLAIN THROUGHLY

Answers

Answer:

like 6 is the factor in both monomials then you can factor like this

6(y^2-1)

Answer:

-6(1-y)(1+y)

Step-by-step explanation:

-6+6y²         Factor out -6 from the expression

-6(1-y²)        Use a²-b²=(a-b)(a+b) to factor the expression

-6(1-y)(1+y)  

How many digits are in the smallest sequence of repeating digits in the decimal equivalent of 5/9

Answers

4.. hope that helps

Anyone know this?I need helppp

Answers

Answer:

nope sorry

Step-by-step explanation:

Plz help ASAP will mark branliest

Answers

Step-by-step explanation:

Consider that:

[tex](f/g)(x) = f(x) / g(x)\\(f - g)(x) = f(x) - g(x)[/tex]

Fill in the blanks

Row 1    ⇒ 2 and -5

(-1)*(-2) = 2

Solve using two values:

f(x) - g(x) = - 10 and f(x)/g(x) = - 1  ⇒ f(x) = -g(x), substitute into first-2g(x) = - 10 ⇒ g(x) = 5 and f(x) = - 5

Row 2   ⇒ -5 and 5

- 2 - 3 = - 5g(x) = 5 (see above solution)

Row 3    ⇒ - 6 and 4

-10 - (-4) = - 62 - (-2) = 4

Row 4     ⇒ -6/7 and 2/5

-6/7-2/-5 = 2/5

the perimeter of a rectangular field is 344m.if the length of the field is 93m.what is it’s width?

Answers

Answer:

79m

Step-by-step explanation:

344-(93x2)=158

158/2=79m

Step-by-step explanation:

perimeter = 344

length = 93

perimeter of rectangle = 2( l+ b )

344 = 2 (93 + b)

344÷2 = 93 + b

172 = 93 + b

172 - 93 = b

79 = b

in other words width is 79

hope it helps

Another destructive species transplanted by humans to the United States is the
Burmese Python, one of the largest snakes in the world. Imported as pets, some
escaped, and many more were released by their owners, possibly after getting
too big to care for. Most places are too cold for the tropical snake, but it has
begun to thrive in southern Florida.
Assume that the Burmese Python population in Florida is modeled by the
formula P(t) = Po: (1.15)? If there were 100,000 Burmese Pythons in 2010 (no
t
one really knows the exact number), how large could the population become by
2050 (without human intervention)?

Answers

Without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.

Given that it is proposed that the Burmese Python is increasing its population at a rate of 1.15 year by year, and that it is estimated that by 2010 there were 100,000 of these in the United States, to estimate how many there will be by 2050 the following calculation should be done:

100,000 x 1.15 ^ (2050-2010) = X 100,000 x 1.15 ^ 40 = X 100,000 x 267.86 = X 26,786,354.62 = X

Therefore, without human intervention, by 2050 there will be 26,786,354 Burmese Pythons in the United States.

Learn more in https://brainly.com/question/15625553

Other Questions
An entrepreneur wants to renta billboard at least 30 feet tall to display anadvertisement for her business. She is 5 feet 6 inchestall and casts a shadow 7 feet long. At the sametime, a billboard casts a shadow 35 feet long. Is thebillboard tall enough? Leah hangs 6 posters in a row, each 14 inches wide, on a bedroom wall. There are 4 inches between each poster. For the posters at each end, there are 3 inches between each poster and the end of the wall. What is an appropriate strategy for Leah to use to find the width of the wall? There is 20% of fat in a 280g 32 piece chocolate bar. How much fat is in 4 pieces? 18. What are the five muscles that form a box to control the wrist? What is the median number of this data set 15,33,51,75,51? discrete or continuous What can you infer about the pH of a stomach and an intestine based on the above enzymes? Justify your answer. Correct the verb 1- If he (get) up early, he (catch) the bus2- If you ( study ) hard you (get) high marks th LEARNING TASK & Equation FIND THE THE EQUATION OF THE LINE, WRITE STANDARD FORM. THE SLOPE is 5 passing through (-1,4). If 1=32=33=54=45=4Then, 6=? What is the slope of line What option best describes the relation shown in the mapping diagram below? What can you hold in your right hand but never in your left hand? All of the following can provide source data except a. a scanning device at the grocery store b. a utility bill received in the mail c. a bar code reader d. software to process the source data English Adjectives: I need some help! It is totally important to me that I need some assistance! Here's my rules! No meme picture! And also No weird links description! Understand! And also give me the real answer! What is the volume, in cubic cm, of a cube with an edge length of 20cm? Look up and record thedefinition of mudflat [tex]f(a) = {a}^{ \frac{1}{2} } + 3a + {a}^{2} [/tex][tex]f(x) = \frac{9}{17} {x}^{83} + \sqrt{54 {x}^{97} } + \pi[/tex][tex]g(x) = (x - \frac{2}{3} )(x + \frac{3}{4} )[/tex]which one of the following is a polynomial and which is not, and why? A die is rolled twice. What is the probability of showing a 4 on both rolls? Olympic National Park is 28.5 miles from Forks, Washington. it took the Pearce family 0.75 hours to drive there. What was their average speed, in miles per hour?