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 :

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#SPJ2


Related Questions

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

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:

-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)  

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.

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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:

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

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.

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.

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

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

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

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

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

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

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:

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

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

Answers

4.. hope that helps

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

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

m_ABC=M_ABD
what is the reason?

Answers

The reason in this case is :

Answer:

M=m and cis equivalent to d

Can someone help me plz!!

Answers

Answer:

C

Step-by-step explanation:

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

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

Please help me out! View the image below!

Answers

Answer:

y=-2x+1

Step-by-step explanation:

Look at the photo i think

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

Anyone know this?I need helppp

Answers

Answer:

nope sorry

Step-by-step explanation:

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

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:

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:

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
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