Solve for x step by step

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 }

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

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Answer:

42/7 = 6 miles per hour

Step-by-step explanation:

Given,

The total distance covered by the person =  [tex]1/7[/tex] a miles,

Time taken by him =  [tex]1/42\\[/tex]an hour,

We know that, speed = Distance, time

The speed of the person = [tex]1/7 over 1/42[/tex]

42/7

also known as 6 miles per hour

I hope this helps and have a great day!

Answer:

Nonlinear association, B

Step-by-step explanation:

Answer:

strong  

Step-by-step explanation:

If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%

The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:

15 - 9 = 6 dollars

Therefore,

percentage reduction = 6 / 15 ×100

percentage reduction= 600 / 15

percentage reduction = 40%

Therefore, the percentage reduction in price is 40%.

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It looks like an equilateral triangle (equal sided) so y=1

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer: 1.

Step-by-step explanation:

The triangle in the picture is an equilateral triangle, meaning that all the sides are equal. Since we know that one of the sides is equal to one according to the picture, we know that the answer is 1.

The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :

1.)

Total work hours = 45 hours

Total earning can be defined thus :

28.50(40) + 49.875(45 - 40)

1140 + 249.375

= $1389.375

2.)

Yearly saving can be calculated thus :

Weekly saving = 15% × 1525 = $228.75

Amount saved per year = $228.75 × 52 = $11895

3.)

Actual payment received per year can be calculated thus :

Actual weekly earning = $50000 - $5275.75 = $

Actual yearly earning = 52 × $44724.25 = $536691

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Answer:

Perimeter of Δ XYZ = 24.13

Step-by-step explanation:

In Δ XYZ is a right  triangle because the XYZL is a square.  Therefore the hypotenuse = 10; Looking at the 43° angle, XY is the side that is opposite the 43° angle and the YZ is the side that is adjacent to the 43°.

Using the trig ratios:  

XY = opposite/ hypotenuse which is Sin 43°

Sin 43° = XY/ 10

10(Sin 43°) = XY

 6.82 = XY

YZ = adjacent/hypotenuse which is Cos 43°

Cos 43° = YZ/10

10(cos 43°) = YZ

7.31 = YZ

Now the Perimeter = XY + YZ + XZ

  Perimeter = 6.82 + 7.31 + 10

  Perimeter = 24.13  

Answer:

width = 12cm and the length = 27cm

Step-by-step explanation:

Answer:

144 boys and 384 girls

Step-by-step explanation:

8 girls to every 3 boys. You can make an equation to solve this: 8x + 3x = 528. 528 = 11x. Then divide 528 by 11 to get 48. x=48. 8(48) = 384 girls. 3(48) = 144 boys.

Answer:

a: x=22

b: c=31 d=61 e=88

Step-by-step explanation:

For "a"

Step 1: (x+9)+(3x-5)+(4x)=180

Step 2: 8x + 4 =180

Step 3: x=22

For "b"

Step 1: (22+9)= 31 for "c"

Step 2: 3x22-5= 61 for "d"

Step 3: 4x22= 88 for "e"

Answer:

1/2

Step-by-step explanation:

Remember rise over run (rise/run). Rise is the movement in the y axis and run is the movement within the x axsis.

Answer:

1) y=3.5+(5•x)

2) 103.5

3) No, because 5•20 is 100 and 5•10 is 50, BUT with both you still have to add 3.5 no matter what because of the $3.50 to pick up the rider

Answer:

im gonna go with c

Answer:

SSS

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I don't know how to explain it sorry but can I still get brainliest please

Answer:

30

Step-by-step explanation:

1) Simplify 12 - 9 to 3.

12 + 2 × 3²

2) Simplify 3² to 9.

12 + 2 × 9

3) Simplify 2 × 9 to 18.

12 + 18

4) Simplify.

30

Answer:

Welp i dont have your help you need

Step-by-step explanation:

Because i just dont

Explanation:

*Based on what i know / understand*

Well one thing is that it is not E (the last choice because the mean is not the same as the median, they are different, the mean is 10.4 while the median is 13.4

And it can not be C or D because the mean is less than the median. So it is rather A or B.

But I think it is B.

Sorry if its wrong ;-;

Answer:

96 is the number. x = 9

Step-by-step explanation:

x = 9, so y = 15–9 = 6, and so the answer is 96

brainliest?

Answer:

The measure of angle S is 60°

Step-by-step explanation:

This is an equilateral triangle, which means that all sides and all angles are equal. Hence, in order for all the angles to equal 180°, they each have to equal 60°

Answer:

a. 20

b. 30

c. 75

b. 600 / 2000 * 100% (Change it to same unit)

3 / 10 * 100%

30%

You can slove every question by this method.

and dont forget to give me the brainest.

Answer:

10kg//

Step-by-step explanation:

density=5g/cm

volume=2cm

mass=?

we know,

density=m/v

d×v=m

m=5×2

hence,10kg//

Answer:

 10g/cm

Step-by-step explanation:

If  [tex]Distance= \frac{Mass}{Volume}[/tex]

Then

Mass = Density x Volume

Answer:

3

Step-by-step explanation:

Answer:

3,300

Step-by-step explanation:

Just took the test in edg

Answer:

3300

Step-by-step explanation:

Did it on Edge.

Answer:

what'd you mean?

Step-by-step explanation:

Step-by-step explanation:

I believe it would be 29days

Months with 31 days are the only ones where the first and last day of the month fall on the same day of the week. So, correct option is D.

The months with the same day of the week for their first and last day have either 30 or 31 days. This is due to the repeating pattern of days in a month.

Let's consider the possibilities:

If a month has 30 days and the first day falls on a Sunday, then the last day of the month would fall on a Tuesday, which is two days ahead. This means that the next month's first day would be a Wednesday. Since there are only 7 days in a week, the first and last day cannot be the same for a 30-day month.

If a month has 31 days and the first day falls on a Sunday, then the last day of the month would fall on a Monday, which is just one day ahead. This means that the next month's first day would also be a Monday, making the first and last day the same for this 31-day month.

Thus, the correct answer is D. 31

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Answer:

x ≈ - 0.14

Step-by-step explanation:

6(4x + 5) = 3(x + 8) + 3 ← distribute parenthesis on both sides

24x + 30 = 3x + 24 + 3 , simplify

24x + 30 = 3x + 27 ( subtract 3x from both sides )

21x + 30 = 27 ( subtract 30 from both sides )

21x = - 3 ( divide both sides by 21 )

x = [tex]\frac{-3}{21}[/tex] = - [tex]\frac{1}{7}[/tex] ≈ - 0.14 ( to the nearest hundredth )

Answer:

$1.35

Step-by-step explanation:

you multiply $9.00 (9) by 15% (.15). Which gives you 1.35.