What is x? Help please

What Is X? Help Please

Answers

Answer 1

Answer: [tex]x=\frac{8}{3}[/tex]

Step-by-step explanation:

By the Intersecting secants theorem, we know that:

[tex]EC*ED=EB*EA[/tex]

Then, substituting, we get:

[tex](x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)[/tex]

Now we need to expand the expression:

[tex]x^2+5x+4x+20=x^2+12x+x+12[/tex]

Simplifying, we get that the value  of "x" is:

[tex]x^2+9x+20=x^2+12x+12\\\\9x+20=12x+12\\\\20-12=12x-9x\\\\8=3x\\\\x=\frac{8}{3}[/tex]


Related Questions

How to write an exponential function from a table

Answers

Answer:

Step-by-step explanation:

I'll show you with an example.  I'll make a table and then show you how to find the exponential equation, ok?

 x                 y

 0                 3

 1                  12

 2                 48

 3                192

The standard form of an exponential equation is

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

We will take 2 (x,y) coordinates from our table and fit them into the equations to solve for a and b.  Using the point (0, 3):

[tex]3=a(b)^0[/tex]

b to the 0 power is equal to 1, so the equation then becomes a(1) = 3 so a = 3.  We will use the other x, y coordinate along with that a value to now solve for b:

[tex]12=3(b)^1[/tex]

b to the first is b, so now that equation becomes 3b = 12 and b = 4.  Filling that info back into the standard form:

[tex]y=3(4)^x[/tex]

There you go!

A student rolls a number cube Whose six faces are numbered 1 through 6 what is the sample space for this experiment.

Answers

Answer:

It depends on how you define an outcome.

Usually, the outcomes are considered to be the number showing on the top face of the die (number cube) when it comes to rest on a horizontal surface. If that is how you define outcomes, then the sample space is the set of numbers 1–6: {1, 2, 3, 4, 5, 6}.

Step-by-step explanation:

"This experiment" covers a lot of territory. The student could be checking to see if the die stays on the table or falls to the floor. The student could be experimenting to see if the die changes color or makes a certain kind of noise. The experiment could involve the number of times the die rolls over to a new face before it comes to rest. Until the experiment is properly defined, the sample space is unknown.

If the experiment is to see what number shows on the top face of the die at rest on a horizontal surface, then the sample space is presumably the set of numbers 1 through 6.

Jackie contributed a batch of baklava to the school bazaar. There are 12 pieces in a batch, and each piece sells for $1.50. If all the baklava is sold, what will Jackie's total contribution to the school be?

Answers

Answer:

Jackie's total contribution the school would be $18.00

Step-by-step explanation:

Jackie's contribution to the school bazaar = a batch of baklava

No. of pieces in a batch = 12 pieces

Price of one piece = $1.50

CASE: All baklava is sold

No. of pieces of Baklava sold = 12 pieces

Price of 12 pieces of Baklava = no. of pieces * Price of one piece

= 12 * $1.50

= $18.00

Tammy mixes the letters s, c, h, o, o, and l thoroughly. without looking, allen draws one letter. expressed as a fraction, decimal, and percentage, what is the probability that allen will not select a consonant? (1 point)

Answers

There are 6 letters: (4 consonants, 2 vowels)

The probability that Allen will not select a consonant is: (2/6 which simplifies to 1/3) because there are only 2 letters out of the 6 that are not consonants

Fraction: 1/3

Decimal: 0.3333

Percentage: 33.33%

The probability that Allen does not select a consonant is 1/3 as a fraction, 0.3333 as a decimal, and 33.33% as a percentage.

You've asked what the probability is that Allen will not select a consonant when drawing one letter from the mix of letters 's, c, h, o, o, l'. First, let's determine how many vowels and consonants there are in the selection. We have two vowels ('o', 'o') and four consonants ('s', 'c', 'h', 'l'). This gives us a total of six letters.

To find the probability of not selecting a consonant, we look at the likelihood of selecting a vowel instead, since those are the only two types of letters available. There are 2 vowels out of a total of 6 letters. The probability as a fraction is thus 2/6, which simplifies to 1/3.

To express this probability as a decimal, divide the numerator by the denominator: 1 divided by 3 equals approximately 0.3333. Finally, to express this as a percentage, multiply the decimal by 100 to get 33.33%.

In summary:

Fraction: 1/3Decimal: 0.3333Percentage: 33.33%

what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?

Answers

Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse.  So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

Answer:

The diagonal of a non-regulation tennis court = 25 feet

Step-by-step explanation:

Pythagorean theorem

Hypotenuse² = Base² + Height²

The  tennis court  is like a rectangle.

We can consider the court as made of two right angled triangle

To find the length of diagonal of court

Here base = 15 feet and height = 20 feet

Diagonal or hypotenuse can be written as,

Diagonal ² = Base² + Height²

 = 15² + 20²

 = 225 + 400

 = 625

Diagonal = √625 = 25 feet

Therefore  the diagonal of a non-regulation tennis court = 25 feet

You flip a fair coin what is the probability that it show heads on the first flip and it shows how tails on the second flip

Answers

Answer:

25% = 1/4

Step-by-step explanation:

It is 25% because there are 4 outcomes that you can get which are

HT, TH, HH, TT

H = Head

T = Tail

and out of the four outcomes, there is one that will be Head first and Tails on the second flip. So 1 out of 4 = 25%

PLEASE HELP ASAP 45 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Answers

 The answer is C. I have the work for it in the image bellow

 

Hope this helped!

~Just a girl in love with Shawn Mendes

Please help me please

Answers

Answer:

b = 17

Step-by-step explanation:

Since PQ = RQ then ΔPQR is isosceles and QS is a perpendicular bisector

Hence PS = RS = 17 ⇒ b = 17

Mr. McGregor has discovered that a large dog can destroy his entire garden in 2 hours and that a small boy can do the same job in 1 hour. How long would it take the large dog and the small boy working together to destroy Mr McGregor's garden?

Answers

Final answer:

The large dog and small boy working together will take 2/3 hour to destroy Mr McGregor's garden.

Explanation:

To solve this problem, we can add the rates at which the large dog and the small boy work together:

Large dog's rate = 1 garden / 2 hours = 1/2 garden per hour

Small boy's rate = 1 garden / 1 hour = 1 garden per hour

Combined rate = 1/2 garden per hour + 1 garden per hour = 3/2 gardens per hour

Now, we can use the combined rate to find the time it would take for the large dog and the small boy to destroy Mr. McGregor's garden:

Time = 1 garden / Combined rate = 1 garden / (3/2 gardens per hour) = 2/3 hour

Learn more about Working together to complete a task here:

https://brainly.com/question/37863997

#SPJ11

According to the diagram below, which similarity statements are true?

Answers

it can be concluded that [tex]\( \angle BAD = \angle CBD \) and \( \angle ABD = \angle BCD \).[/tex] So, all three angles are equal.

From the given information:

[tex]\( \angle BAD + \angle ABD = 90^\circ \)[/tex]

[tex]\( \angle CBD + \angle BCD = 90^\circ \)[/tex]

[tex]\( \angle ABD + \angle DBC = 90^\circ \)[/tex]

[tex]\( \angle BAD + \angle BCD = 90^\circ \)[/tex]

We can see that:

[tex]\( \angle BAD + \angle ABD = \angle CBD + \angle BCD \)[/tex]

[tex]\( \angle BAD + \angle BCD = \angle ABD + \angle DBC \)[/tex]

[tex]\( \angle BAD + \angle BCD = \angle BAD + \angle BCD \)[/tex]

From equations (1) and (2), we can conclude that:

[tex]\[ \angle BAD + \angle ABD = \angle CBD + \angle BCD = \angle ABD + \angle DBC \][/tex]

This implies that [tex]\( \angle ABD = \angle CBD \) and \( \angle BCD = \angle DBC \).[/tex]

Therefore, it can be concluded that [tex]\( \angle BAD = \angle CBD \) and \( \angle ABD = \angle BCD \).[/tex] So, all three angles are equal.

The complete question is:

According to the diagram below, which similarity statements are true? Check all that apply.

A. △ ABDsim △ BCD

B. △ ABCsim △ BDC

C. △ ABCsim △ ADB

D. △ ABDsim △ ADC

The similarity statements that are true are:

A. [tex]\(\triangle ABD \sim \triangle BCD\)[/tex]C. [tex]\(\triangle ABC \sim \triangle ADB\)[/tex]D. [tex]\(\triangle ABC \sim \triangle BDC\)[/tex]

[tex]\(\triangle ABD \sim \triangle BCD\):[/tex]

  - Since D lies on AC and [tex]\( \angle ADB = \angle BDC = 90^\circ \),[/tex] both [tex]\(\triangle ABD\)[/tex]and \[tex](\triangle BCD\)[/tex]share [tex]\( \angle ADB = \angle BDC \).[/tex]

  - They both share the common angle [tex]\( \angle B \).[/tex]

  - Therefore, [tex]\(\triangle ABD \sim \triangle BCD\).[/tex]

[tex]\(\triangle ABC \sim \triangle ADB\):[/tex]

  - Both triangles share the angle [tex]\( \angle A \).[/tex]

  - They both have right angles at [tex]\( \angle ABC = \angle ADB = 90^\circ \).[/tex]

  - Therefore, [tex]\(\triangle ABC \sim \triangle ADB\).[/tex]

[tex]\(\triangle ABC \sim \triangle BDC\):[/tex]

  - Both triangles share the angle [tex]\( \angle C \).[/tex]

  - They both have right angles at [tex]\( \angle ABC = \angle BDC = 90^\circ \).[/tex]

  - Therefore, [tex]\(\triangle ABC \sim \triangle BDC\).[/tex]

If the area of square 1 is 25 units square, and the area of square 2 is 16 units square, what is the perimeter of square 3

Answers

Answer:

12

Step-by-step explanation:

If square 1's area is 25, that must mean its side is 5

If square 2's area is 16, that must mean its side is 4

Since it looks like its going in order, square 3's side is 3, and since there's 4 sides to a square, the perimeter is 12.

Answer:

12 units²

Step-by-step explanation:

4^2+b^2=5^2

b=25-16

b^2=9

b=√9

b=3

there are 4 sides in a square so 3•4=12

Find the volume of this figure.

Answers

Answer:

  320 cubic units

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = (1/3)Bh

where B is the area of the base, and h is the height.

Your pyramid has a rectangular base with edge lengths 8 units and 10 units. Hence the area of the base is ...

  8×10 = 80 . . . . square units

The height is 12 units, so the volume formula gives the volume as ...

  V = (1/3)(80)(12) = 320 . . . . cubic units

A parking lot has sixty-one parking spaces numbered from 1 to 61. There are no cars in the parking lot when Jillian pulls in and randomly parks. What is the probability that the number on the parking space where she parks is greater than or equal to 22?


A. 61/21


B. 40/61


C. 61/40


D. 21/61


Answers

Answer:

  B. 40/61

Step-by-step explanation:

There are 40 spots out of the 61 in the lot with numbers greater than or equal to 22. The probability of choosing one of them at random is 40/61.

_____

About the answer choices

61/21 and 61/40 are both numbers that are greater than 1. A probability is always a number between 0 and 1 (inclusive), so these answers can be rejected immediately.

There are 21 spots with numbers less than 22, so 21/61 is the probability of choosing one of those. That is not what the question is asking for.

A survey of patients at a hospital classified the patients by gender and blood type, as seen in the two-way table. Gender Blood Type Male Female TOTAL A 105 93 198 B 99 84 183 O 160 140 300 AB 15 18 33 TOTAL 379 335 714 What percent of all patients are blood type AB? Round your answer to the nearest tenth of a percent. Type a numerical answer in the space provided. Do not include % or spaces in your answer.

Answers

Answer:

4.6

Step-by-step explanation:

We are given the results of a survey of patients at a hospital of their blood type, categorized by their gender.

We are to find the percentage of patients with blood type AB among all patients.

Number of patients with blood type AB = 33

Total number of patients = 714

Percent of patients with blood type AB = [tex] \frac { 3 3 } { 7 1 4 } \times 100 [/tex] = 4.6

Phillip has a box of crayons. 45 are yellow, 12 are green, 25 are blue, and 7 are red. If Phillip selects a crayon at random, which color crayon would he be MOST likely to select? Why?

Answers

Answer:

yellow b/c there are the most

Step-by-step explanation:

Can someone help me out?

Answers

Answer:

  see below

Step-by-step explanation:

If you haven't memorized it so you know it already, it takes about 10 seconds with your calculator to discover that ...

  arccos((√3)/2) = β = 30°

This fact matches only one answer choice.

Heo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)2 = 4. Next, he took the square root of each side. Which was the resulting equation of that step?

Answers

Step-by-step explanation:

After taking the square root:

x + 2 = ±2

Notice that x + 2 can also equal -2, because (-2)² = 4.

Someone, please help. Will Mark brainlist if the answer is correct.

Screenshot it below.

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-9)^2+y^2=4\implies (x-\stackrel{h}{9})^2+(y-\stackrel{k}{0})^2=2^2~\hfill \stackrel{center}{(9,0)} \\\\\\ (x-\stackrel{h}{3})^2+(y-\stackrel{k}{2})^2=4\implies (x-\stackrel{h}{3})^2+(y-\stackrel{k}{2})^2=2^2~\hfill \stackrel{center}{(3,2)}[/tex]

Check the picture below.

well, its radius didn't change, anyhow, you know what to check out.

Answer:

The circle moves left and up

Step-by-step explanation:

The circle's center changes from (9, 0) to (3,2) and the radius stayed the same.

In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.
x =

Answers

To find x you can use cosine since you know the adjacent side and the hypotenuse. Remember that for cosine it is adjacent over hypotenuse

cos(x) = [tex]\frac{28}{72}[/tex]

cos(x) = [tex]\frac{7}{18}[/tex]

To find the x we must take the inverse of cosine:

[tex]cos^{-1}[/tex]([tex]\frac{7}{18}[/tex] = x

x = 67.1146...

x ≈ 67.1 degrees

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

67.1

Step-by-step explanation:

i took the test

The hypotenuse of a 45°-45°-90° triangle measures 128 cm. What is the length of one leg of the triangle?

Answers

Answer:

90.51 (rounded to the nearest hundredth)

Step-by-step explanation:

We can use trigonometry to figure this out

sin = opposite side / hypothenuse

The 45° angle's opposite side is a leg of the triangle

sin 45 = leg / 128

sin 45 * 128 = (leg / 128 ) * 128

0.7071 * 128 =  leg

90.51 = leg

Answer:

b

Step-by-step explanation:

Which expression represents the area of the triangle drawn below (4x-3) (2x-1) (4x-2) (3x-3)?

Answers

Answer:

option C

Step-by-step explanation:

Area of the triangle=4x²+4x+1

Which explanation best describes how to solve this problem? Marcia covered her kitchen floor with twice as much tile as her bathroom floor. She tiled 15 square feet of her bathroom floor. She also tiled a 9-square-foot area by her front door. How many square feet of her house did Marcia tile altogether?

Answers

Answer:

54 ft^2

Step-by-step explanation:

Bathroom area is 15 ft^2

The kitchen is twice the bathroom

2*15 = 30 ft^2

Kitchen: 30 ft^2

Front door: 9ft^2

The total is all the areas added together

Total = bathroom + kitchen + front door

         = 15 ft^2     + 30 ft^2  + 9 ft^2

         = 54  ft^2

The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2004 there were about 1,350 fish. Write an exponential decay function that models this situation. Then find the population in 2010.

Answers

Answer:

Part 1) The exponential function is equal to [tex]y=1,350(0.95)^{x}[/tex]

Part 2) The population in 2010 was  [tex]992\ fish[/tex]

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

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

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

[tex]a=1,350\ fish[/tex]

[tex]b=(100\%-5\%)=95\%=0.95[/tex]

substitute

[tex]y=1,350(0.95)^{x}[/tex] ----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

[tex]y=1,350(0.95)^{x}[/tex]

so

For [tex]x=(2010-2004)=6\ years[/tex]

substitute

[tex]y=1,350(0.95)^{6}=992\ fish[/tex]

Final answer:

The exponential decay function for the fish population in Lake Collins is P(t) = 1350 * e^(-0.05t). Using this, the estimated fish population in 2010 is about 1,000.

Explanation:

We need to write an exponential decay function to model the decreasing fish population in Lake Collins and then use it to find the population in 2010.

To create an exponential decay function, we can use the formula P(t) = P0 * e^(rt), where:

P(t) is the population at time t,

P0 is the initial population,

r is the rate of decay (as a negative value), and

t is the time in years since the initial count.

Given the initial population of 1,350 fish in 2004 and a decay rate of 5% per year, we can write the function as:

P(t) = 1350 * e^(-0.05t)

To find the population in 2010, we first calculate the time passed since 2004, which is 6 years. Thus, t = 6:

P(6) = 1350 * e^(-0.05*6)

Calculating this gives us:

P(6) ≈ 1350 * e^(-0.3) ≈ 1350 * 0.740818 ≈ 1000 (rounded to the nearest whole number)

Therefore, the fish population in 2010 was approximately 1,000 individuals.

Can you help me with these 2 questions?

Answers

Answer:

What school you go to

Step-by-step explanation:

step by step go catch friend and step by step friends

If a right circular cone is intersected by a plane that goes through both napped of the cone but not through the vertex, as in the picture below, what shape is produced?

Answers

Answer:

F. Hyperbola

Step-by-step explanation:

In each napped, you'll have a parabola, combined they form an hyperbola.

It's one of the various shapes that can be produced by a plane intercepting a right circular cone, as you can see in the attached picture.

Each plane intersection is different, based on the angle and the position it passes through.

I hope that helps.

Answer:

hyperbola

Step-by-step explanation:

apeex

The diameter of the base of the cone measures 8 units.
The height measures 6 units.
What is the volume of the cone?

Answers

Answer:   [tex]32\pi[/tex] cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

[tex]V_{cone}=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

[tex]r=\frac{8units}{2}\\\\r=4units[/tex]

Since you already know that height and  the radius, you can substitute them into the formula. Then, the volume of this cone is:

[tex]V_{cone}=\frac{1}{3}\pi (4units)^2(6units)[/tex]

[tex]V_{cone}=32\pi \ units^3[/tex]

Answer: 48

Step-by-step explanation:

Fred's dog groomer charges $25 to give his dog a haircut. The groomer is increasing the price for a haircut by 35%. What will Fred pay the groomer the next time his dog has a haircut?

Answers

Answer:

33.75

Step-by-step explanation:

Step 1- Find the decimal form of 35%

Step 2- When you find that multiply that by 25

Step 3- When you find the answer to step 2 add that to 25

That is your answer

Final answer:

The price that Fred will pay the groomer the next time when his dog has a haircut is  $33.75.

Explanation:

The question asks us to calculate the new price Fred will pay for his dog's haircut after the groomer increases the price by 35%. To find the new price, we'll use the formula for calculating percentage increase, which is: New Price = Original Price + (Original Price * Percentage Increase).

First, convert the percentage increase to a decimal by dividing it by 100, so 35% becomes 0.35. Then, multiply the original price of $25 by 0.35 to find the amount of the increase, which is $8.75.Finally, add the increase to the original price to find the new price, which is $25 + $8.75 = $33.75. So, Fred will pay $33.75 the next time his dog has a haircut.

Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3?

ab(7a^2 + 10ab + 14b^2)
a^2b(7 + 10b + 14b^2)
7a^2(b + 3b^2 + 7b^3)
7a^2b^3(b^2 + 3b + 7)

Answers

Answer:

a^2b(7 + 10b + 14b^2)

Use wolframalpha for math questions, or photomath!

To solve this, factor out a^2b from the expression.

For this case we must indicate an expression equivalent to:

[tex]7a ^ 2b + 10a ^ 2b ^ 2 + 14a ^ 2b ^ 3[/tex]

We must draw the common term of the three terms, we have:

[tex]a ^ 2b (7 + 10b + 14b ^ 2)[/tex]

So:

[tex]7a ^ 2b + 10a ^ 2b ^ 2 + 14a ^ 2b ^ 3 = a ^ 2b (7 + 10b + 14b ^ 2)[/tex]

Answer:

[tex]a ^ 2b (7 + 10b + 14b ^ 2)[/tex]

Option B

please help me figure out the radius

Answers

Answer:

Step-by-step explanation:

<EAF is a central angle. Its measure is 12o

Arc EF has angular measure of 12 degrees as well.

The formula for the arc length in cm is

Arc length = (given arc angle/360) * 2 * pi * r

r = 30 cm which is given

Given arc angle = 12 degrees.

Arc length = (12/360) * 2* pi * r

Arc length = 1/30 * 2*pi * 30

Arc length = 6.28

Graph the system of equations on graph paper to answer the question.

{y=14x+3
{y=2x+10

What is the solution for this system of equations?

Answers

Answer:

  (x, y) = (7/12, 11 1/6)

Step-by-step explanation:

A graph will show you the solution is near (x, y) ≈ (0.6, 11.2). For an exact answer, an algebraic solution is indicated.

Subtracting the second equation from the first gives ...

  0 = 12x -7

  7/12 = x

Substituting for x in the second equation gives ...

  y = 2(7/12) +10 = 7/6 +10

  y = 11 1/6

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