Please find the value of x.

Please Find The Value Of X.

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

x* (x+1) = 10*9

Distribute

x^2 +x = 90

Subtract 90 from each side

x^2 +x-90 =0

Factor

(x-9)(x+10) =0

Using the zero product property

x-9=0  x+10=0

x=9  x=-10

Since we cannot have a negative length

x=9

Answer 2

The circle is made up of 2 lines, this means that they will equal each other.

x(x + 1) = 10 * 9

~Simplify

x² + x = 90

~Subtract 90 to both sides

x² + x - 90 = 90 - 90

~Simplify

x² + x - 90 = 0

~Factor out

(x - 9)(x + 10) = 0

~Set both factors to equal 0

x - 9 = 0

x + 10 = 0

~Solve for x in [ x - 9 = 0 ]

x - 9 + 9 = 0 + 9

x = 9

~Solve for x in [ x + 10 = 0 ]

x + 10 - 10 = 10 - 10

x = -10

Since -10 is negative, we can't use it.

Therefore, x = 9

Best of Luck!


Related Questions

How do you solve 15 less than or equal to
3 - 4s

Answers

Answer:

-3 is greater than or equal to s

Step-by-step explanation:

subtract 3 on both sides

then get s by itself by dividing by -4 on both sides (bc you are dividing by a negative the sign flips)

The base of a triangle is 3cm and the height is 5cm. What mathematical operations described must be performed in order to find the area of this triangle

Answers

A=1/2bh that’s the equation to find area of a triangle, Hope this helped

A farmer picks 242 apples on monday and 118 apples on tuesday on wednesday she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples the farmer has left?

Answers

Answer:

Step-by-step explanation:

The apples picked on Monday and Tuesday = 242 + 118 = 360

Apples sold on Wednesday = 360 - 109 =  521

Number of apples left = 251

Equation used: (242 + 118) - 109

A survey asked 40 students if they play an instrument and if they 20 students are in band.
3. 20 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
Total
Band
Not in band
D.A.
0
20
20
Play instrument
Dont play
instrument
15
20
5
40
15
25
Total
Toto
Band and play
instrument
Not in band and
play instrument
B.
Not in band and
PREVIOUS
a​

Answers

Answer: try the answer B

Step-by-step explanation:

The debate team is holding
a car wash. They washed
126 cars in 3 hours. At that
rate, how many cars could
they wash in 7 hours?

Answers

Answer:

294

Step-by-step explanation:

7/3=2.33333333333

126*2.33333333333=294

{\_/}

( •-•)

\>$

Bunny holding cash and hope this helps

I’m pretty sure they are correct ^^

easy please help asap

Answers

1.Understand the problem

2.Gather your resources

3.Come to answer

4.Check your answer and present solution

Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 70 centimeters. What is the approximate area of the circle?

(Use 3.14 for Pi)

Answers

Answer:

3847

Step-by-step explanation:

To get your radius

diameter/2= 70/2=35.

Radius=35

Area=πr^2 =3.14x 35x35= 3846.5

approximately=3847

Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!

Answers

Answer:

C. [tex]b^{27}[/tex]

Step-by-step explanation:

Assume b is a number like 3

([tex]3^{9}[/tex])³=19683³=7625597484987

[tex]3^{24}[/tex]=282429536481

B is definitely wrong. Not even going to try.

[tex]3^{27}[/tex]=7625597484987

D is definitely wrong. Not even going to try.

im lost!! can someone please help me. will vote brainliest

Answers

Answer:

Answer is >= 1.  The reason is that you can't take the square root of a number and it be a rational number.  So you have to avoid having a number that is negative under the square root symbol. In addition, you have to make sure you don't have a zero in the denominator because that would make the answer undefined.

Answer is C

Step-by-step explanation:

Answer:

I belive the answer is c

Try using desmos cauculater ;)

1. MONDAY (5/18): Which of the following functions matches the graph to the right
a) f(x) = -⅙(x+3)²+6
b) f(x)=-⅙(x-3)²+6
c) f(x) = -6 (x+3)² +6
d) f(x) = -6 (x-3)² + 6​

Answers

Answer:

a.) f(x) = -⅙(x+3)²+6

Step-by-step explanation:

The maximum value, our vertex, is at point (-3,6).

We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

[tex]4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6[/tex]

a equals -1/6... We can input this into the original equation we used...

f(x) = -1/6(x+3)^2+6

Good luck on the bellwork ;)

A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.

Answers

Answer:

4.283

Step-by-step explanation:

Divide 12.85 by 3 using a calculator

21.14,7.2,4.5 are these irrational or rational?

Answers

Answer:

Rational. They have termination decimals, so the next digit can be predicted. Therefore, those numbers are rational.

Step-by-step explanation:

Joe is 6 A tall, and stands 30 ft away from a pole. If his line of sight to the top is at a 40° angle above the
horizontal approximately how tall is the pole?​

Answers

Answer:

Height of pole =

31 feet

Step-by-step explanation:

Here, we are to calculate the height of the pole.

Please check the attachment for diagrammatic representation of the question.

We use trigonometric ratio to calculate the length AC first.

The ratio to use here is Tan

This is because we have the adjacent and we want to calculate the opposite

Mathematically;

Tan of an angle = length of opposite/length of adjacent

Tan 40 = AC/30

AC = 30Tan 40 = 25.17 which is approximately 25 feet

The height of the pole is the length CE + AC

CE = BD = 6 ft since they are opposite sides of rectangle BCDE

The height of the pole is thus 6 + 25 = 31 feet approximately

can someone helpme please​

Answers

Answer: the first box is 1/5 since one of 5 squares are shaded.

The next box the answer is “there are 4 groups 1/5.

The next answer is 4/5

The last answer is 4/5

Step-by-step explanation:

A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a 6-pack of juice cans? Tell the steps you used to calculate your response. *

Answers

Answer:

It was a cylinder shape

volume of cylinder is

= \pi {r}^{2} h

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

6(3.142 \times  {3.3}^{2}  \times 12.1) \\ =  6(3.142 \times 10.89 \times 12.1) \\ =  6(34.21638 \times 12.1) \\  = 6(414.018198) \\ = 2484.109188 \\   = 2484.11 \: (2d.p.)

Answer

2484.11

Step-by-step explanation:

I NEED HELP FAST, 20POINTS
Which of the following statements is true?

| A | < | D |
A + B = D
C ≥ D
| B | > C

Answers

Answer:

| A | < | D |

Step-by-step explanation:

| A | is going to be 4 units since A = -4

| D | i sgoing to be 3 units since D = 3

Answer:

The answer is |A|< |D|

Step-by-step explanation:

Just did it and it was right

. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?

Answers

Answer:

The answer is .007874989

Step-by-step explanation:

What is the probability that the proportion of people who will order coffee with their meal is between 2% of the population mean? If in a restaurant, the proportion of people who order coffee with their dinner is .9. A simple random sample of 144 patrons of the restaurant is taken.

Answers

Answer:

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

[tex]p = 0.9, n = 144[/tex]

So

[tex]\mu = 0.9, s = \sqrt{\frac{0.9*0.1}{144}} = 0.025[/tex]

What is the probability that the proportion of people who will order coffee with their meal is within 2% of the population mean?

This is the pvalue of Z when X = 0.9 + 0.02 = 0.92 subtracted by the pvalue of Z when X = 0.9 - 0.02 = 0.88. So

X = 0.92

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.92 - 0.9}{0.025}[/tex]

[tex]Z = 0.8[/tex]

[tex]Z = 0.8[/tex] has a pvalue of 0.7881

X = 0.88

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

[tex]Z = \frac{0.88 - 0.9}{0.025}[/tex]

[tex]Z = -0.8[/tex]

[tex]Z = -0.8[/tex] has a pvalue of 0.2119

0.7881 - 0.2119 = 0.5762

57.62% probability that the proportion of people who will order coffee with their meal is within 2% of the population mean.

Which property can be used to solve the equation? 5 d = 75 addition property of equality subtraction property of equality multiplication property of equality division property of equality please answer fast

Answers

Answer:

Multiplication Property of Equality

Step-by-step explanation:

Answer:

Division Property of Equality..

Step-by-step explanation:

How fast was a driver going if it left skid marks that were 63 feet long on wet concrete? (The coefficient of friction is 0.97)?

Answers

Answer:

Step-by-step explanation:

Let m be the mass of the vehicle

frictional force = μ mg

μ is coefficient of friction ,

deceleration = μ g

= .97 x 32

a = - 31.04 ft /s

v² = u² - 2 a s

0 = u² - 2 a s

u² = 2 a s

= 2 x 31.04 x 63

= 3911.04

u = 62.54 ft / s

Answer:

43mph

Step-by-step explanation:

Took the test

A company has been forced to reduce its number of employees. Today the company has 29% fewer employees than it did a year ago. If there are currently 142 employees, how many employees did the company have a year ago?

Answers

250 is not the answer

Step-by-step explanation:

Idk

Mr.Cho made a two way table to describe members of his family.which could describe the row and column headings for Mr.Chos table

Answers

Answer:c

Step-by-step explanation:

Took test

a right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length

Answers

Answer:

slant length = 35 cm

Step-by-step explanation:

A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.

surface area = πr(r + l)

where

r  = radius

l = slant height/length

surface area = πr(r + l)

r = 10/2 = 5 cm

surface area = 628 cm²

Therefore,

628 = π × 5(5 + l)

628 = 5π(5 + l)

628 = 25π + 5πl

628 = 25 × 3.14 + 5 × 3.14 × l

628 = 78.5 + 15.7l

628 - 78.5 = 15.7l

549.5 = 15.7l

divide both sides by 15.7

l = 549.5/15.7

l = 35 cm

slant length = 35 cm

Answer:

35cm

Step-by-step explanation:

Please help me. Only answer if you know the answer. In circle O, PA and PB are tangents. The figure is not drawn to scale.


a. Prove that APO is congruent to BPO.

b. Find BOD for AOP = 64. Explain your reasoning.

Answers

Answer:

a. See down below

b. 116 degrees

Step-by-step explanation:

a. Since PA and PB are both tangents to the circle, they both form right angles with the radius of the circle. Also, since they originate from a common point, they have equal length when they reach the circle. Finally, they share side PO. Therefore, by SSA congruence, they are congruent triangles.

b. Since PD bisects the circle, it is divided into two 180 degree sections. If AOP=64, then so is POB. Since all of the remaining half of the circle is BOD, you can find its angle measure by subtracting the angle measure of AOP from 180. 180-64=116 degrees. Hope this helps!

can you please help me with this thanks

Answers

Answer: 6

Step-by-step explanation:

in a 30 60 90 triangle the hypothenuse is [tex]2a[/tex], long side is [tex]a\sqrt{3}[/tex], and the short side is [tex]a[/tex]

What is 1/3 of 60% as a fraction

Answers

60% *0.01 = 0.6

1/3*0.6=0.2=2/10=1/5

Answer:

1/5

The fraction is 1/5.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

60%

= 60/100

= 6/10

= 3/5

Now,

1/3 of 60%

= 1/3 x 3/5

= 1/5

Thus,

The fraction is 1/5.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ5

Paco decides to invest $600 into a bank account that gives him a 3.4% interest rate compounded quarterly. He wants to know how long it will take for him to save up to $1,000.

Answers

Answer:

It would take 15 years

Step-by-step explanation:

The length of time it takes to reach $1,000 savings can be determined from the future value formula given below:

FV=PV*(1+r/4)^n*4

FV is the target savings of $1,000

PV is the amount invested which is $600

r is the rate of interest of 3.4%

n is the unknown

1000=600*(1+3.4%/4)^4n

1000=600*(1+0.0085 )^4n

1000=600*(1.0085)^4n

1000/600=1.0085^4n

1.666666667 =1.0085^4n

take log of both sides

ln 1.666666667 =4n ln 1.0085

4n=ln 1.666666667/ln 1.0085

4n=0.510825624 /0.008464078

4n=60.35218768

n=60.35218768 /4

n= 15.09  

The perimeter of a rectangular field is 354 yards. If the width of the field is 78 yards, what is its length?

Answers

Answer:

99

Step-by-step explanation:

Answer:

The length is 138 yards.

Step-by-step explanation:

354 - 78 = 276

276/2 = 138

Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5 m de la pared, ¿a qué altura de la pared llega la escalera? Expresa el resultado con radicales extrayendo todos los factores posibles.

Answers

Answer:

8.66 meters

Step-by-step explanation:

Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.

Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.

We have to:

c ^ 2 = a ^ 2 + b ^ 2

c = 10

a = 5

replacing

b ^ 2 = 10 ^ 2 - 5 ^ 2

b ^ 2 = 75

b = 8.66

that is to say that the height at which the ladder reaches the wall is 8.66 meters

About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau

Answers

Answer:

Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)

Step-by-step explanation:

The information given is not enough to determine the probability.

We need to know, how many Clouseau are seen each year, then we can find the desired probability.

The Parameters:

Total number of manta rays seen each year = 450

Probability that if a manta ray is spotted at random, it would be clouseau,

P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)

P = C/T

P = C/450

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