9. If NK = 7x-1, NM = 10x - 13, and KM = 24, find NP. ​

Answers

Answer 1

Answer:

[tex]NP = 24.18[/tex]

Step-by-step explanation:

Given

[tex]NK = 7x - 1[/tex]

[tex]NM = 10x - 13[/tex]

[tex]KM = 24[/tex]

See attachment

Required

Length of NP

First, calculate the value of x

[tex]NK = NM[/tex]

So:

[tex]7x -1 = 10x - 13[/tex]

Collect like terms

[tex]10x - 7x = 13 - 1[/tex]

[tex]3x =12[/tex]

Solve for x

[tex]x = 4[/tex]

To solve for NP, we consider right triangle [tex]\triangle NKP[/tex]

Where

[tex]NK = 7x - 1[/tex]

[tex]NK = 7 * 4 - 1[/tex]

[tex]NK = 27[/tex]

[tex]KP =\frac{1}{2}KM[/tex]

[tex]KP =\frac{1}{2} * 24[/tex]

[tex]KP =12\\[/tex]

Using Pythagoras theorem, we have:

[tex]NK^2 = KP^2 + NP^2[/tex]

[tex]27^2 = 12^2 + NP^2[/tex]

[tex]729 = 144 + NP^2[/tex]

Collect like terms

[tex]NP^2 = 729 - 144[/tex]

[tex]NP^2 = 585[/tex]

Take square roots

[tex]NP = \sqrt{585[/tex]

[tex]NP = 24.18[/tex]

9. If NK = 7x-1, NM = 10x - 13, And KM = 24, Find NP.

Related Questions

The perimeter of this shape is 120 π mm

What is the radius of the smaller semicircles?

Answers

Answer:

15mm

Step-by-step explanation

It says the perimeter is 120 pi, if pi is separate from 120, that would make 120 our radius 60. with 4 semicircles, divide 60 by 4 and boom, 15.

I think that's right, I was never good at geometry  

Please help due in 10 min!!! Solve for X

Answers

Answer:

x == 9

Step-by-step explanation:

Angle at the vertex is half the difference of those at the intercepted arcs;

35 = 1/2(120-15x+5)

35 * 2 = 120-15x-5

70 = 115 - 5x

70 - 115 = -5x

-45 = -5x

x = 45/5

x = 9

Hence the value of x is 9

What is the solution set to the equation 15-4x=x^2-6x?

Answers

Answer:

x = 5 and x = -3

Step-by-step explanation:

15 - 4x = x² - 6x

15 = x² - 2x

0 = x² - 2x - 15

Now if solved using quadratic formula the answer would be:

x = 5 and x = -3

Hope this helps!

Which could be the length of BC
11 ft
13 ft
15 ft
18 ft

Answers

Try 18 ft , if no 15

what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall

The longest segment is —
pleaseeee

Answers

Answer:

The longest segment is approximately 19.13cm

Step-by-step explanation:

Given

[tex]l = 14cm[/tex]

[tex]w = 11cm[/tex]

[tex]h = 7cm[/tex]

Required

The length of the longest segment (d)

This is calculated using:

[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]

So, we have:

[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]

Using a calculator, the equation becomes

[tex]d = \sqrt{366[/tex]

Take square roots

[tex]d = 19.13cm[/tex]

Simplify.
Help me please

Answers

Answer:

answer is 3^2

hopefully this helps someway

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

please help me with this

Answers

9514 1404 393

Answer:

C = 40°c ≈ 5.79a ≈ 6.89

Step-by-step explanation:

The acute angles in a right triangle are complementary, so ...

  C = 90° -50°

  C = 40°

__

SOH CAH TOA reminds you of the relations ...

  Cos = Adjacent/Hypotensue

  Sin = Opposite/Hypotenuse

Then ...

  cos(50°) = c/9

  c = 9·cos(50°) ≈ 5.79

  sin(50°) = a/9

  a = 9·sin(50°) ≈ 6.89

Jamie is working on simplifying a problem with negative exponets and got the answer 1/4³. What might Jamie's original expression have been? In other words, work backwards and rewrite this expression with a negative exponet​

Answers

Answer:

Your answer would be 4^-3.

Step-by-step explanation:

So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.

In this case, 4 would be the number and -3 would be the negative exponent.

So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.

1/x^y ---> x^-y

1/4^3 ---> 4^-3

Your answer would be 4^-3.

Please don’t troll include work

Answers

4 1/8-2 3/4= 4 1/8 - 2 6/8= 1 3/8

2 3/5 + 1 5/6 = 2 18/30 + 1 25/30= 3 43/30 = 4 13/30

8 9/12 + 2 3/8= 8 18/24 + 2 9/24= 10 27/24 = 11 3/24= 11 1/8

3 1/3 - 1 1/2= 3 2/6 - 1 3/6 = 2 8/6 - 1 3/6= 1 5/6

during the council meeting, the number of women is 2 times the number of men.how many women and men attended the meeting if there were 30 people present?​

Answers

20 women and 10 men!!
if there was ten men attending the meeting, and the number of women were twice as much of the number of men in the meeting, there would be 20 women, and with 10 men that makes 30 people present

Students on the baseball team and in the French club were asked how many pets they have. The results are shown.
Baseball Team: 0,0,0,1,1,1,1,1, 2, 2, 2,3,3,3,4
French Club: 0,0,1, 1, 1, 2, 2, 2, 2,3,3,3,3,4,6
What is the difference of the means of the two sets of data?
A. 0.6
B. 1
O C. 1.9
D. 2

Answers

Answer:

A

Step-by-step explanation:

The baseball teams total is 24, divided by the number of answers, 25, is 1.6.

The French Club’s total is 33, divided by the number of answers, 15, is 2.2.

2.2-1.6 is 0.6.

The table shows linear relationship between the values of X and Y.

Answers

Answer:

The correlation is [{-3,6,9},{1,-2,-3}]

Step-by-step explanation:

The result is -1

Rewrite the function by completing the square. f(x)=x^{2}+8x+4

Answers

Answer:

[tex]\implies f(x) = ( x + 2)^2[/tex]

Step-by-step explanation:

Given :-

f(x) = x² + 8x + 4 .

And we need to rewrite the function by completing the square. The function is ,

[tex]\implies f(x) = x^2+8x + 4[/tex]

We can rewrite the function in the form of ,

[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]

Rewriting the function :-

[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]

This is similar to the whole square form stated above . So ,

[tex]\implies f(x) = ( x + 2)^2[/tex]

Hence the function in whole square form is (x + 2)² .

The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.

Answers

Answer:

9 meters

Step-by-step explanation:

To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.

The width is 9 meters.

Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?

Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds

Answers

Answer:

Four-thirds

Step-by-step explanation:

If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.

The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

f(x) = x² - (1/3)x    x ≠ -1

    = -1                  x = -1

[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)

                      f(x) = 1 + (1/3)

     

                      f(x) = 4/3

To know more about Function

https://brainly.com/question/12431044

#SPJ5

can someone do this for me thanks ok bye

Answers

Answer:

log2 10 = 3x

Step-by-step explanation:

Basic Logarithm Tenets

Answer:

log2 10=3x

Step-by-step explanation:

is the amswer

La ecuación de la recta que pasa por el punto P(1,3) y es paralela a la recta

Answers

Answer:  No puedo responder a esto sin que me muestres el problema.

The ratio of boys to girls in a class
is 5:7. There are 36 students in the
class. How many more girls than boys
are there?

Answers

Answer:

tbh i may be too late but the answer is 6

Step-by-step explanation:

the ratio 5:7 in the question is basically saying for every 5 boys are 7 girls

if you multiply the number of boys by 5 ( which would equal 15) you would have 21 girls, 15 + 21 equals 36.  21- 15= 6 giving us the anser

What is the mean of the data set below? Round to the nearest tenth when necessary. 96, 98, 56, 88

Answers

search up mean calculator

Binh has to write an 8 page report. If he has written 3/4 of his report so far, how many pages has he written?​

Answers

Answer:

6

Step-by-step explanation:

you're overthinking the problem, all you have to do is multiply 8 and (3/4) to get 6, super easy

What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b')?
O-4
0 -3
O 3
O4

Answers

Answer:

3

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]y = a(b)^x[/tex]

In which a is the value of y when x = 0.

In this question:

When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.

What is the answer to that

Answers

Answer:

can you show me the picture? I will edit my answer if you show me full picture

Step-by-step explanation:

Please help and thank you

Answers

Answer:

2.7>217/100

Step-by-step explanation:

A pair of shoes cost $57.00 and the sales tax is 7%?
What is amount of the sales tax? Be exact, it's money.

Answers

Answer:

3.88

Step-by-step explanation:

$57 multiplied by 7%

Algebraic expression for six times 4 Less Than 3 times x

Answers

Answer:

6(3x - 4)

Step-by-step explanation:

From the question, we can deduce the following points;

- 6 is multiplied by 3x minus 4

Translating the word problem into an algebraic expression, we have;

6 * (3x - 4)

The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its own site with use of a longer established social networking site named FaceList. Some articles published on the Internet give the reader the opportunity to register votes (called "likes") for the article on social networking sites to which the reader belongs. A BooglePlus employee selects from the Internet a random sample of 28 articles where the opportunity is given for registering votes for the article on both BooglePlus and Face List. Letting x be the number of votes on FaceList and y be the number of votes on the BooglePlus, the slope of the least squares regression line of y on x is found to be 0.0623, with a standard error of 0.0224.

Required:
What could be used to compute a 95% confidence interval for the slope of the population regression line of y on x?

Answers

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )

{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056

so we substitute

0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid

Answers

Answer:

B. parallelogram

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

Select the type of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Since all 4 sides are not equal, then it is neither a square; nor a rhombus

Hence, the shape is a parallelogram

please help!!!!
ignore the writing -_-​

Answers

Answer:

Haha once again 1200 and 8.5 are the answers

8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain between controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data

Answers

Answer:

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Step-by-step explanation:

To conduct an ANOVA randomization test we perform anova without replication in excel.

The data for the test is

   

                            Mean    Standard Deviation Sample Size

Never

Played Football 7602.5          1074                   25

FB with no History   6459.2         779.9                  25

FB with Concussion 5734.6       593.4                   25

Total                 6598.8      1133.5                  75

Anova: Two-Factor Without Replication    

   

SUMMARY Count Sum Average Variance

Row 1 2 8676.5 4338.25 21310656.13

Row 2 2 7239.1 3619.55 16127224.25

Row 3 2 6328 3164 13215968.72

   

Column 1 3 19796.3 6598.766667 886871.7433

Column 2 3 2447.3 815.7666667 58708.90333

ANOVA Table  

Source           Sum of     Degrees     Mean

of Variation      Square    of freedom  Squares

                            SS     df          MS              F P-value

B/w Rows 1401945.703 2 700972.8517 2.8657 0.259

B/w Col      50164633.5 1 50164633.5 205.0819  0.00484

Error     489215.59         2 244607.795                          

Total 52055794.79 5    

Set up the null and alternate hypotheses :

H0 ; there's no difference between the means and

there's no difference between the standard deviations

against the claim

Ha: there's a difference between the means and

there's  a difference between the standard deviations

The significance level is chosen at 0.05

The test statistics to use are

F1= estimated variance from Between Means/  estimated variance from Error SS

F1= s1²/s3²

F1= estimated variance from Between Standard Deviations /  estimated variance from Error SS

F2- s2²/s3²

with υ1= (2,2)  and υ2(1,2) degrees of freedom.

The critical regions for F (2,2)≥ 19 for 0.05 significance level

and F(1,2) ≥ 18.51  for 0.05 significance level

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

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