Can somebody please find the value of x for me

Can Somebody Please Find The Value Of X For Me

Answers

Answer 1

Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.

So,

2x = ½ (x + 9)

2x = ½(x) + ½(9)

2x - ½x = 9/2

3/2x = 9/2

x = 9/3

x = 3

____

Hope it helps ⚜


Related Questions

A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

Answers

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

12 resistors, which means that [tex]N = 12[/tex]

3 defective, which means that [tex]k = 3[/tex]

4 are selected, which means that [tex]n = 4[/tex]

To find an specific probability, that is, of x defectives:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}[/tex]

Given f (x) = 4x - 3,g(2) = x3 + 2x
Find (f - g) (4)

Answers

Sgjklhcvffhxjjfjdjdjdhdhjfjd

ALGEBRA 2 SIMPLIFY THE EXPRESSION

Answers

Step-by-step explanation:

here's the answer to your question

The recursive formula for a geometric sequence is given below.
f(1) = 5
(n) = 3 . f(n − 1), for n > 2
What is the 7th term in the sequence?

Answers

Answer:

3645

Step-by-step explanation:

f(1)=5

f(2)=3*5=15.

f(3)=45, basically it's a geometric sequence with formula an=5*(3)^(n-1). The 7th term is 5*(3)^6=3645

Slope 0; through (-5, -1)

Answers

Answer:

y = -1

Step-by-step explanation:

Quadrilateral JKLM is rotated - 270° about the origin.
Draw the image of this rotation

Need a visual answer please! Thanks!

Answers

Answer:

Step-by-step explanation:

When the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.

What is rotation?

"It is a transformation in which the object is rotated about a fixed point. "

For given question,

Quadrilateral JKLM is rotated - 270° about the origin.

This means, quadrilateral JKLM is rotated 270° clockwise about the origin.

We know, if point P(x, y) is rotated 270° clockwise or 90° anticlockwise then  the coordinated of rotated point would be (-y, x).

From figure, the coordinates of the quadrilateral JKLM are:
J = (3, 3)

K = (5, -5)

L = (-3, -7)

M = (3, -3)

After rotating -270° about the origin the coordinates of the quadrilateral would be,

J' = (-3, 3)

K' = (5, 5)

L' = (7, -3)

M' = (3, 3)

And the image of the rotated quadrilateral J'K'L'M' is shown below.

Therefore, when the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.

Learn more about rotation here:

https://brainly.com/question/16710736

#SPJ2

A trolley travels in one direction at an average of 20 miles per hour, then turns around and travels on the same track in the opposite direction at 20 miles per hour of the total time waveling on the trolleys 3.5 hours, how far did the trolley travel in one direction?
mi
Enter your answer in the answer box and then click Check Answer
Clear All
Help Me Solve This
an Example
Get More Help

Answers

9514 1404 393

Answer:

  35 miles

Step-by-step explanation:

The relevant relation is ...

  distance = speed × time

The total distance the trolley traveled is ...

  d = (20 mi/h) × (3.5 h) = 70 mi

The distance is the same in both directions, so the trolley traveled half this distance in one direction.

The trolley traveled 35 miles in one direction.

Solve for x
-1/2x + 3 = -x + 7

Answers

Answer:

8

Step-by-step explanation:

If you add x to the left side of the equation you get positive 1/2x +3=7

you then would subtract 3 from 7 to get 4

this would leave you with 1/2x=4

if you divide 4 by 1/2 you get 8 as the answer.

Find the missing side of the triangle

Answers

Answer:

x = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Pytago:

x[tex]x^{2} +7^{2} = 9^{2} \\\\x = \sqrt{9^{2} - 7^{2} } x = 4\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 9^2

49 + b^2 = 81

b^2 = 81 - 49

b^2 = 32

b^2 = 5.65 or sqrt rt of 32

Can someone please help
Me

Answers

Answer:

$3735

Step-by-step explanation:

2/5 = 8/20

8/20 + 7/20 = 15/20 = 3/4

3/4*4980 = 3735

I am struggling and I would be so happy if any of you helped me. Can someone help me with the last two red boxes please? The rest of the question is for reference to help solve the problem. Thank you for your time!

Answers

Answer:

I think you can go with:

The margin of error is equal to half the width of the entire confidence interval.

so  try .74 ±   =   [ .724 , .756] as the confidence interval

Step-by-step explanation:

please answer the question below:​

Answers

Answer:

It's letter b

Step-by-step explanation:

I hope this help

6. (4 points) (a) The edge of a cube was measured to be 6 cm, with a maximum possible error of 0.5 cm. Use a differential to estimate the maximum possible error in computing the volume of the cube. (b) Using a calculator, find the actual error in measuring volume if the radius was really 6.5 cm instead of 6 cm, and find the actual error if the radius was actually 5.5 cm instead of 6 cm. Compare these errors to the answer you got using differentials.

Answers

Answer:

A)   ± 54 cm^3 ( maximum possible error in volume )

B) i) 58.625 cm^3  ii) 49.625 cm^3

Step-by-step explanation:

A) using differential

edge of cube = 6 cm ,  maximum possible error = 0.5 cm

∴ side of cube ( x )= ± 0.5 cm

V = volume of cube

dv /dx = d(x)^3 / dx

∴ dv  = 3x^2 dx ---- ( 1 )

input values into 1

dv = 3(6)^2 * ( ± 0.5 )

    = ± 54 cm^3 ( maximum possible error in volume )

B) Using calculator

actual error in measuring volume when

i) radius = 6.5 cm instead of  6 cm

V1= ( 6.5)^3 = 274.625 ,  V = ( 6)^3 = 216

actual error = 274.625 - 216 = 58.625 cm^3

ii) radius = 5.5cm instead of 6cm

actual error = 49.625 cm^3

Cho biết tỉ lệ máy tính bảng sử dụng hệ điều hành A là 70%, tỉ lệ máy tính bảng sử
dụng hệ điều hành W là 30%. Xác suất để một máy tính bảng có hệ điều hành sử dụng ổn định
(không phải cài đặt lại) trong 2 năm đầu tiên là 0, 75. Tỉ lệ sử dụng ổn định của các máy tính
bảng có hệ điều hành A cao hơn tỉ lệ sử dụng ổn định của các máy tính bảng có hệ điều hành
W là 20%. Hãy tính xác suất để một máy tính bảng có hệ điều hành W sử dụng ổn định trong
2 năm đầu tiên.

Answers

Answer:

máy ...

xác suất để một máy tính bảng có hệ điều hành B sử dụng ổn định trong 2 năm đầu tiên. Add answer

Which statement is true about a line plot? A. A line plot shows the frequency of an interval of values of any given data set. B. A line plot shows the first quartile, but not the second quartile of any given data set. C. A line plot shows the frequency of the individual values of any given data set. D. A line plot shows the mean of any given data set.

Answers

Answer:

D

Step-by-step explanation:

if x, y, and z are positive integers and 2^x * 3^y * 5^z = 54,000, what is the value of x + y + z

Answers

Given:

If x, y, and z are positive integers, then

[tex]2^x\times 3^y\times 5^z=54000[/tex]

To find:

The value of [tex]x+y+z[/tex].

Solution:

First we need to find the prime factors of 54000.

[tex]54000=2\times 2\times 2\times 2\times 3\times 3\times 3\times 5\times 5\times 5[/tex]

[tex]54000=2^4\times 3^3\times 5^3[/tex]        ...(i)

We have,

[tex]54000=2^x\times 3^y\times 5^z[/tex]        ...(ii)

On comparing (i) and (ii), we get [tex]x=4,y=3,z=3[/tex].

The sum of [tex]x,y,z[/tex] is:

[tex]x+y+z=4+3+3[/tex]

[tex]x+y+z=10[/tex]

Therefore, the value of [tex]x+y+z[/tex] is 10.

The quinceañera (the young woman being celebrated)
dances the first part of the waltz first with her father, for
about 60 seconds.
She then dances with her padrino (godfather), for about
20 seconds.
She then dances with each of the chambelanes, the
young men she has chosen to accompany her on her
special day, for about 15 seconds each.
Bárbara's quinceañera is coming up, and she has to
choose a song that will be exactly the right length, so that
she is not stuck dancing by herself at the end of the song.
How long should her song be? Show your thinking
mathematically.

Answers

Answer:

2 minutes and 5 seconds

Step-by-step explanation:

60+20+15+15+15= 125 Seconds ( 2 minutes and 5 seconds )

I added three fifteens as I don't know the number of chambelanes.

Hope it helps!

Which behavior would best describe someone who has good communication skills with customers ? a) Following up with some customers b) Talking to customers more than listening to them c) Repeating back what the customer says d) Interrupting customers frequently

Answers

Answer:

C. repeating back what the customer says

For a given function ƒ(x) = x2 – x + 1, the operation –ƒ(x) = –(x2 – x + 1) will result in a


A) reflection across the x-axis.

B) horizontal shrink.

C) reflection across the y-axis.

D) vertical shrink.

Answers

Given:

The function is:

[tex]f(x)=x^2-x+1[/tex]

To find:

The result of the operation [tex]-f(x)=-(x^2-x+1)[/tex].

Solution:

If [tex]g(x)=-f(x)[/tex], then the graph of f(x) is reflected across the x-axis to get the graph of g(x).

We have,

[tex]f(x)=x^2-x+1[/tex]

The given operation is:

[tex]-f(x)=-(x^2-x+1)[/tex]

So, it will result in a reflection across the x-axis.

Therefore, the correct option is A.

Answer:

A) reflection across the x-axis.

Step-by-step explanation: I took the test

Hi I need help how to solve this equation with explanation thank you

Answers

Answer:

A)x>-3

Step-by-step explanation:

as the circle is not coloured this means that -3 is not included so the ones that have

[tex] \geqslant \\ \leqslant [/tex]

are not answers and these means smaller or equal to/greater or equal to.

As the line is going to the right this means that x is greater than -3 so we use > for greater.

so in the end we get that the answer is x > -3

Need help please due in 1 hour and 30 mins

Answers

Answer:

the answer of that is number C

If Damien does a job in 21 hours less time than Caitlyn, and they can do the job together in 14 hours, how
long will it take each to do the job alone?

Answers

Answer: Damien = 7.5 hours and Caitlyn = 28.5 hours

Step-by-step explanation:

Damien = X -21

Caitlyn = X

2X - 21 = 14

2X = 14 + 21

X = (14+21)/2

X = 7.5

Please help out explanation need it

Answers

For this you just look at the sides.

Soh cah toa

This is good to remember.

Sin = opposite/ hypotenuse

Cos= adjacent/ hypotenuse

Tan = opposite/ adjacent

In this case you have TanZ, the side adjacent to the angle is 10 and the opposite to the angle is 24. So tanZ is 24/10 which simplifies to 12/5.

The hypotenuse is always the longest side, but the opposite and adjacent sides can change depending on the angle.

Answer:90 = ... 42 + 48) - 360

Step-by-step explanation:

Michael is 4 times as old as Brandon and is also 27 years older than Brandon.
How old is Brandon?

Answers

Answer:

9

Step-by-step explanation:

b = Brandon

4b=b+27

-b   -b

-------------

3b = 27

----   ----

3      3

b = 9

Brandon is 9 years old.

Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that a given software user will call technical support is 97%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

Answers

Answer:

Since [tex]n(1-p) = 3.72 < 10[/tex], the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Out of 124 software users

This means that [tex]n = 124[/tex]

Assume the probability that a given software user will call technical support is 97%.

This means that [tex]p = 0.97[/tex]

Conditions:

[tex]np = 124*0.97 = 120.28 \geq 10[/tex]

[tex]n(1-p) = 124*0.03 = 3.72 < 10[/tex]

Since [tex]n(1-p) = 3.72 < 10[/tex], the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0[/tex]

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

Jill records the temperature outside every hour for 4 hours. She finds that the temperature dropped by the same amount each hour. After 4 hours, she finds that the temperature dropped a total of 20∘F. She writes this number sentence.
(−20)÷4=−5
What does the number sentence mean?
The total drop in temperature, −20∘F, divided by 4 hours equals −5∘F per hour. The temperature dropped 5∘F each hour.

The total number of drops, 20, divided by 4 hours equals 5 times per hour. The temperature dropped 5 times per hour.

The total number of hours, 20, divided by 4∘F equals 5 hours. The temperature dropped once every 5 hours.

The total drop in temperature, −20∘F, divided by 4∘F in the first hour, equals −5 drops. The temperature dropped 5 times.

Answers

Answer:

It is the first one, The total drop in temperature, −20∘F, divided by 4 hours equals −5∘F per hour. The temperature dropped 5∘F each hour.

Step-by-step explanation:

Which facts are true for the graph of the function below? Check all that apply.
F(x)-(3/7)^x

Answers

Answer:

Step-by-step explanation:

The height of a projectile fired upward is given by the formula
s = v0t − 16t2,
where s is the height in feet,
v0
is the initial velocity, and t is the time in seconds. Find the time for a projectile to reach a height of 96 ft if it has an initial velocity of 128 ft/s. Round to the nearest hundredth of a second.

Answers

Answer:

The projectile will reach a height of 96 feet after about 0.84 seconds as well as after about 7.16 seconds.

Step-by-step explanation:

The height of a projectile fired upward is given by the formula:

[tex]\displaystyle s = v_{0} t - 16t^2[/tex]

Where s is the height in feet, v₀ is the initial velocity, and t is the time in seconds.

Given a projectile with an initial velocity of 128 ft/s, we want to determine how long it will take the projectile to reach a height of 96 feet.

In other words, given that v₀ = 128, find t such that s = 96.

Substitute:

[tex](96) = (128)t-16t^2[/tex]

This is a quadratic. First, we can divide both sides by -16:

[tex]-6 = -8t+t^2[/tex]

Isolate the equation:

[tex]t^2 - 8t + 6 = 0[/tex]

The equation isn't factorable, so we can consider using the quadratic formula:

[tex]\displaystyle t = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

In this case, a = 1, b = -8, and c = 6. Substitute:

[tex]\displaystyle t = \frac{-(-8)\pm\sqrt{(-8)^2-4(1)(6)}}{2(1)}[/tex]

Simplify:

[tex]\displaystyle t = \frac{8\pm\sqrt{40}}{2} = \frac{8\pm 2\sqrt{10}}{2} = 4\pm \sqrt{10}[/tex]

Hence, our two solutions are:

[tex]\displaystyle t = 4+\sqrt{10} \approx 7.16\text{ or } t= 4-\sqrt{10} \approx 0.84[/tex]

So, the projectile will reach a height of 96 feet after about 0.84 seconds as well as after about 7.16 seconds.

what is the base? Look at picture.

Answers

Answer:

14

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

140 = b*10

Divide each side by 10

140/10 = 10b/10

14 = b

Please help me with this on the image

Answers

Answer:

Step-by-step explanation:

a). Given expression in the question is,

   [tex]\frac{13822\times 623}{14}[/tex]

   Exact value of the expression will be,

   [tex]\frac{13822\times 623}{14}=615079[/tex]

b). By using approximations to 1 significant figure,

   13822 ≈ 10000

   623 ≈ 600

   14 ≈ 10

   615079 ≈ 60000

   Now use the expression,

   [tex]\frac{13822\times 623}{14}=\frac{10000\times 600}{10}[/tex]

                  = 60000

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