Please help!!!!!!!!!!!!

Please Help!!!!!!!!!!!!

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

Since the segment is an angle bisector, the sides are in the ratio

[tex]\frac{14}{21}[/tex] = [tex]\frac{6}{3x-12}[/tex] ( cross- multiply )

14(3x - 12) = 126 ( divide both sides by 14 )

3x - 12 = 9 ( add 12 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7


Related Questions

Aiden and three of his friends were roasting pumpkin seeds. There were 236 pumpkin seeds. If each person wanted an equal portion, how many pumpkin seeds will each boy get

Answers

Answer:

Each boy would get 59 seeds

Step-by-step explanation:

Aiden and his three friends = 4 people

236 divided by 4 = 59

Final answer:

Each boy will get 59 pumpkin seeds.

Explanation:

In this problem, Aiden and his three friends are sharing 236 pumpkin seeds equally. To find out how many pumpkin seeds each boy will get, we can divide the total number of seeds by the number of boys.



Divide the total number of pumpkin seeds, 236, by the number of boys, which is 4.



So, each boy will get 236 ÷ 4 = 59 pumpkin seeds.

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Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 6% annual
interest; the other paid 7% annual interest. The total amount of interest she earned after one year was
$66. Enter and solve a system of equations to find the amount invested in each account. Enter the interest
rates in order as given in the problem. (Hint: Change the interest rates into decimals first.)
x+y = 1,000
0.06
x+ 0.07
y = 66
Helene invested $
at 6% and $
at 7%.​

Answers

Answer:

Helene invested $ 400 at 6% and $ 600 at 7%.​

Step-by-step explanation:

Let

x -----> the amount invested at 6%

y -----> the amount invested at 7%

we know that

The interest earned with the amount invested at 6% plus the interest earned by the amount invested at 7% must be equal to $66

Remember that

[tex]6\%=6/100=0.06\\7\%=7/100=0.07[/tex]

so

[tex]x+y=1,000[/tex] ----> equation A

[tex]0.06x+0.07y=66[/tex] ----> equation B

Solve the system of equations by graphing

The solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (400,600)

see the attached figure

therefore

Helene invested $ 400 at 6% and $ 600 at 7%.​

Given that (3, 3, -2) is a solution to the given
system, which of the following statements are
possibly true of the system?
Check all of the boxes that apply.
The three planes represented by the
equations in the system are parallel.
The system is consistent.
The system is inconsistent.
The system is independent.

Answers

The system is consistent

Answer: B & D

Step-by-step explanation:

The system is consistent.

The system is independent.

Which two mountain peaks combined are 56,190 feet tall?​

Answers

Answer:

Everest and k2

Step-by-step explanation:

Answer:

its k2 and lhotse

Step-by-step explanation: 28,250 + 27, 940= 56, 190 because 0+ 0 =0

4+5 =9  9+ 2 = 11 carry the 1 8 + 7 +1 = 16 carry the 1 2+2+1 =5 so that equals 56,190 ft


The arc length of a circle of radius 4 is 6.9813. What is the central angle created by the arc? Round
to the nearest whole number.

Answers

The central angle created by an arc length of 6.9813 in a circle with a radius of 4 is approximately 100 degrees when rounded to the nearest whole number.

The student is asking about the relationship between the arc length of a circle, the radius of the circle, and the central angle created by this arc. To find the central angle from the arc length and the radius, we use the formula:

arc length (As) = radius (r) x central angle (θ)

Here, we're given the arc length as 6.9813 and the radius as 4. Since the central angle is usually given in radians, we first perform the calculation in radians and then convert it to degrees if necessary.

The central angle in radians is:

θ (in radians) = arc length / radius

θ = 6.9813 / 4 ≈ 1.7453 radians

To convert radians to degrees, we multiply by,

(180/π).

Thus,

θ (in degrees) ≈ 1.7453 x (180/π) ≈ 100 degrees

And when rounded to the nearest whole number:

θ ≈ 100 degrees

So, the central angle created by the arc is approximately 100 degrees.

What is the length of the hypotenuse in simplified radical form?(Information needed - long leg is 13, short leg is 5, it is a right triangle)


A. √194
B. 2√97
C. 12
D. 13.93

Answers

Answer:

[tex]\large \boxed{\text{A. $\sqrt{194}$}}[/tex]

Step-by-step explanation:

We can use Pythagoras' Theorem.

[tex]\begin{array}{rcl}a^{2} & = & b^{2} + c^{2}\\& = & 5^{2} + 13^{2}\\& = & 25 + 169\\& = & 194\\a & = & \sqrt{194}\\\end{array}\\\text{The length of the hypotenuse is $\large \boxed{\mathbf{\sqrt{194}}}$}[/tex]

What is the length of the blue segment in A below?

Answers

Answer:

Step-by-step explanation:

L= 6.47 units is the answer for APEX

Answer:

B. 6.4

Step-by-step explanation:

We need to recall the theory of  the chord distance to the center which tells that the two congruent chords are equidistant from the center of the circle.

In this situation, A is the center point, CR and  BE are congruent with the length of 5,27. So, the distance from A to CR must be equal to the distance from A to BE. Hence, the length of the blue segment in A below is 6.4

Hope it will find you well.

Does the arrow show a vertex,face,or edge?

Answers

Answer:

Face, beacuse it's pointing at the flat surface

It’s the face bro easy

What is the equation for the line?

Answers

Answer:

y=-4x+5

Step-by-step explanation:

the line goes down 4 for every 1 that x changes. the line crosses the y axis at 5.

(this might not be accurate, I can't really see if the line is on the exact point or not)

Answer:

[tex]\displaystyle y = -4x + 5[/tex]

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, 5],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving four blocks north over one block west or four blocks south over one block east [west and south are negatives].

I am joyous to assist you anytime.

solve the system of equations y=x^2+3-6 y=2x-6

Answers

The solutions of the system of equations are (0 , -6) , (-1 , -8)

Step-by-step explanation:

To solve a system of equations, one 1st degree and the other 2nd degree, do that:

Use the 1st degree equation to find one variable in terms of other variableSubstitute this variable in the 2nd degree equation and solve it to find the other variableSubstitute the value of the other variable in the 1st degree equation to find the first variable

∵ The system of equations is:

y = x² + 3x - 6 ⇒ (1)

y = 2x - 6 ⇒ (2)

Equate (1) and (2)

∴ x² + 3x - 6 = 2x - 6

- Add 6 to both sides

∴ x² + 3x = 2x

- Subtract 2x from both sides

∴ x² + x = 0

- Take x as a common factor in the left hand side

∴ x(x + 1) = 0

- Equate each factor by 0 to find the values of x

x = 0

∴ The first value of x is 0

∵ x + 1 = 0

- Subtract 1 from each side

x = -1

∴ The second value of x is -1

Substitute each value of x in equation (2) to find the values of y

∵ y = 2(0) - 6

y = 0 - 6 = -6

The first value of y is -6

∵ y = 2(-1) - 6

y = -2 - 6 = -8

∴ The second value of y is -8

∴ The solutions are (0 , -6) , (-1 , -8)

The solutions of the system of equations are (0 , -6) , (-1 , -8)

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A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population? Every person in the United States. A selection of logo artists. 3,800 children age 5 - 15

Answers

Answer:

Every person in the US.

Step-by-step explanation:

If a selection of logo artists are asked whether they like or not the new logo, their answer will represent only the opinion of a specific group of artists of the US, and this is not the objective of the beverage company,who wants to know if people from the United States like their logo.If 3,800 children age 5-15 are asked whether they like the logo or not, their opinion will only represent the opinion of some children in the US, whose age is between 5 and 15, and again, this is not the objective of the beverage company,who wants to know if people from the United States like their logo.Finally, the population (which by definition includes all the elements under study, in this case, all the people in the US) will be defined by all people in the US: if the company wants to know if people from the US like their new logo, they must take into account that, the population under study is all people, and not a biased selection of it.

There are 6 blades on each windmill. How many total blades are on 7 windmills? Use a five fact to solve

Answers

Answer:

42 Blades

Step-by-step explanation:

So 6 blades on each windmill

6=1 Windmill

so 7 windmills

so do

7 times 6 = 42 Blades

The total number of blades in 7 windmills is required.

42 blades are the total number of blades.

The number of blades in 1 windmill is 6 blades

[tex]1\ \text{windmill}=6\ \text{blades}[/tex]

There are 7 windmills

[tex]7\ \text{windmills}=7\times 6[/tex]

Using five fact

[tex]=(5\times 8)+(2\times 1) =42\ \text{blades}[/tex]

The total number of blades of the windmills are 42.

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A 72,000 gallon water tower is being drained. Two thousand gallons are drained in the first hour. How many hours will it take to drain the water tower?

Answers

Answer:

To drain the water tower it will take 36 hours.

Step-by-step explanation:

Given:

A 72,000 water tower is being drained, and in an hour 2000 gallons are drained.

Now, to calculate the hours it would take to drain total 72,000 gallons of water, we should divide the gallons of water drained in one hour by total gallons of water in the tower.

Gallons of total water in the tower ÷ Gallons of water drained per hour

[tex]72000\div 2000[/tex]

[tex]=\ 36[/tex]

Therefore, to drain the water tower it will take 36 hours.

The sides of an equilateral triangle are 8 units long. What is the length of the altitude of the triangle?
5 StartRoot 2 EndRoot units
4 StartRoot 3 EndRoot units
10 StartRoot 2 EndRoot units
16 StartRoot 5 EndRoot units

Answers

Answer:The perimeter of parallelogram PQRS = 2\sqrt{10}+8\sqrt{2} ⇒

2nd answer

Step-by-step explanation:* Lets revise some properties of the parallelogram

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its perimeter is the twice the sum of two adjacent sides

* Lets solve the problem

∵ PQRS is a parallelogram

∵ The length of side SR is

∵ The length of side QR is

∵ SR and RQ are two adjacent sides

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS =

∵  =

∵  =

∴ The perimeter of parallelogram PQRS =

Answer:

Option B.

Step-by-step explanation:

It is given that the sides of an equilateral triangle are 8 units long.

Draw an altitude of the triangle.

Altitude of an equilateral triangle is perpendicular bisector.

Let x be the length of the altitude of the triangle.

According to the Pythagoras theorem

[tex]hypotenuse^2=base^2+perpendicular^2[/tex]

Using Pythagoras theorem we get

[tex]8^2=4^2+x^2[/tex]

[tex]64=16+x^2[/tex]

[tex]64-16=x^2[/tex]

[tex]48=x^2[/tex]

Taking square root on both sides.

[tex]\sqrt{48}=x[/tex]

[tex]4\sqrt{3}=x[/tex]

The length of the altitude of the triangle is 4√3 units.

Therefore, the correct option is B.

Anyone help with linear inequalities?

Answers

Answer:

Yeah I'm here harmony plz tell

Step-by-step explanation:

True or False: The given number is a solution to the corresponding equation

a=−3

4a+3=−9

Answers

Answer:

TRUE.

a = -3 is a Solution to the equation 4a + 3 = -9  

Step-by-step explanation:

Given:

a = -3

4a + 3 = -9

Proof for Solution:

Let there be two part of the equation, left-hand side and right hand side.

If a  = -3 is a solution ,

left-hand side = right hand side

left-hand side = 4a +3

                       = 4×-3 + 3...............{ For a = -3}

                       = -12 + 3

                       = -9

                       = right hand side

∴ left-hand side = right hand side

a = -3 is a Solution to the equation 4a + 3 = -9  

The base of an isosceles triangle is one half as long as each of the congruent sides. The perimeter is 55 in. How long is the base?

Answers

Answer:

The base is 11 inches long

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

y -----> is the length of the base of the isosceles triangle

x ----> is the length of each of the congruent sides

The perimeter of the triangle is equal to

[tex]P=y+x+x[/tex]

[tex]P=y+2x[/tex]

we have

[tex]P=55\ in[/tex]

so

[tex]55=y+2x[/tex] ----> equation A

[tex]y=\frac{x}{2}[/tex] ----> equation B

solve the system by substitution

substitute equation B in equation A

[tex]55=\frac{x}{2}+2x[/tex]

solve for x

[tex]55=\frac{5}{2}x[/tex]

[tex]x=55(2)/5\\x=22\ in[/tex]

Find the value of y

[tex]y=\frac{x}{2}[/tex] ----> [tex]y=\frac{22}{2}=11\ in[/tex]

therefore

The base is 11 inches long

10 - 2 +6= 3x (7 + 8)​

Answers

Answer:

x = [tex]\frac{14}{45}[/tex]

Step-by-step explanation:

10 - 2 + 6 = 3x (7 + 8)​

3x (7 + 8) = 10 - 2 + 6

21x + 24x = 8 + 6

45x = 14

x = 14 ÷ 45

x = [tex]\frac{14}{45}[/tex]

What is the first step in solving -5x-1/6>3/2

Answers

You add 1/6 to both sides

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

Add 1/6 to both sides

ScrapBook,you cut a picture into a right triangle for your scrapbook, the lengths of the lago of the triangle are 4 inches and 6 inches is the length of the hypotenuse a rational number

Answers

Answer:

hypotenuse is not a rational number

Step-by-step explanation:

In a Right angled triangle , if a, b are the sides and h be the hypotenuse then relationship between them is given by

[tex]h^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]

Here,

         a= 4 in.        [Given]

          b = 6 in.       [Given]

Thus ,

  [tex]h^{2}[/tex]  = [tex]4^{2}[/tex] + [tex]6^{2}[/tex]

  [tex]h^{2}[/tex]  =  16 + 36

  [tex]h^{2}[/tex]  = 52.

   h = [tex]\sqrt{52}[/tex]  = 7.21110255......

Clearly, h is not a rational number

Choose the definition for the function.
Please need help badly!!!

Answers

Answer:

b

Step-by-step explanation:

Both graphs end or start at at x = 2

The lower graph has an open circle at 2 meaning that x cannot equal 2

Thus y = x + 1 for x < 2

The upper graph has a solid circle at x = 2 meaning that x can equal 2

Thus y = x + 2 for x ≥ 2

Which is the graph of 3x-4y = 6

Answers

Reformat the equation to be in terms of y.
4y= 3x-6
y=3/4x -6/4
The y intercept when x=0 is -6/4
The x intercept when y=0 is 2
Simply draw the graph using these two points

Note that this is the equation of a line, since you can rewrite it as

[tex]3x-4y=6 \iff 4y=3x-6 \iff y=\dfrac{3}{4}x-\dfrac{3}{2}[/tex]

Now just choose two values for x and compute the correspondent y values:

[tex]x=0 \implies y=-\dfrac{3}{2}[/tex]

So, the line passes through the point (0, -3/2).

[tex]x=2 \implies y=\dfrac{3}{2}-\dfrac{3}{2}=0[/tex]

So, the line passes through the point (2, 0)

Now, draw on a coordinate plane the two points and connect them, and you'll have the line.

Which of the numbers 285, 629, 5490, 7392, 15708, 43695 are divisible by 3 but not by 9.

Answers

Answer:

285, 629, 7392, 15708,43695

Step-by-step explanation:

If you add the digits of the number together, it should be divisible by 9. If it isn't, then it must be a multiple of only 3, not 9.

Divisible by 3 and not by 9 are 285, 7392 and 15708.

Step-by-step explanation:

We need to find which of the numbers 285, 629, 5490, 7392, 15708, 43695 are divisible by 3 but not by 9.

      285

              285 ÷ 3 = 95  Divisible

              285 ÷ 9 = 31.66    Not divisible.  

              Correct

      629

              629 ÷ 3 = 209.67  Not divisible

              629 ÷ 9 = 69.89    Not divisible.  

              Not correct

      5490

              5490 ÷ 3 = 1830  Divisible

              5490 ÷ 9 = 610    Divisible.  

              Not correct

      7392

              7392 ÷ 3 = 2464  Divisible

              7392 ÷ 9 = 821.33    Not divisible.  

              Correct

      15708

              15708 ÷ 3 = 5236  Divisible

              15708 ÷ 9 = 1745.33    Not divisible.  

              Correct

      43695

             43695 ÷ 3 = 14565  Divisible

             43695 ÷ 9 = 4855    Divisible.  

              Not correct

Divisible by 3 and not by 9 are 285, 7392 and 15708.

A bathtub is filling with water at a rate of 60 liters per minute. How many liters of water are in the bathtub after t minutes? Write your answer as an expression.

Answers

Answer:

There are 60t liters of water in the bathtub after t minutes.

After t minutes, [tex]\( 60t \)[/tex] liters of water fill the bathtub.

The amount of water in the bathtub after t minutes can be expressed as the product of the rate of filling (60 liters per minute) and the time (t minutes):

[tex]\[ \text{Amount of water} = \text{Rate of filling} \times \text{Time} \][/tex]

[tex]\[ \text{Amount of water} = 60 \text{ liters/minute} \times t \text{ minutes} \][/tex]

[tex]\[ \text{Amount of water} = 60t \text{ liters} \][/tex]

So, after [tex]\( t \)[/tex] minutes, there will be [tex]\( 60t \)[/tex] liters of water in the bathtub.

Write the expression in simplest form.
(-11/2 x + 3)-2(-11/4x-5/2

Answers

Answer:

The solution of expression in the simplest form is 8

Step-by-step explanation:

Given as :

The expression is written

( [tex]\dfrac{-11 }{2}[/tex]x + 3 ) - 2 ( - [tex]\dfrac{11 }{4}[/tex]x - [tex]\dfrac{5 }{2}[/tex])

Or, ( [tex]\dfrac{-11 }{2}[/tex]x + 3 ) +[tex]\frac{11\times 2}{4}[/tex]x+  [tex]\frac{5\times 2}{2}[/tex]

Now, separate the variable terms

Or, ( [tex]\dfrac{-11 }{2}[/tex] + [tex]\frac{11\times 2}{4}[/tex]) x +  3 + 5

Or, ( 0) × x + 8

or , 0 + 8

∴ 8    

The simplest form if expression is 8

Hence The solution of expression in the simplest form is 8 . Answer

You pay $6 in tax on a $30 purchase. What is the tax percent.

Answers

Answer:

20%

Step-by-step explanation:

Help with hw due tomorrow plz help!!!!!!!!

Answers

Item + tax = total price

Answer: see the explanation

Step-by-step explanation:

Add the price of the item and the tax on the item, or just multiply the price of the item by the tax rate plus 1 (to include the price of the item)

Let's say the cost of an item is

100 dollars and the tax rate is 5% or 0.05. To get the amount of tax that has to be paid on

the $100 item, multiply 100 by 0.05 to get 5 .

Add the amount of the tax ( $5 ) to the price of the item ( $100) to get a total cost of $100.

Or you could multiply 100 by 1+0.05 or 1.05 to get the same answer. The reason why the

1 can be added in is because the total cost includes the price of the item, not just the sales tax on it.

Svetlana’s hair is 3 cm long. Her hair grows 1.5 cm per month. Svetlana wanted her hair to be less then 18 cm long. Write an inequality to determine the number of months Svetlana can allow her hair to grow. Then, solve the inequality.

Answers

Svetlana can allow her hair to grow for 10 months.

Step-by-step explanation:

Current length of hair = 3cm

Growth per month = 1.5cm

Let, m be the number of months.

As she wants her hair no longer than 18cm, therefore, according to given statement;

1.5m + current length of her hair ≤ 18

[tex]1.5m+3\leq 18\\1.5m\leq 18-3\\1.5m\leq 15[/tex]

Dividing both sides by 1.5

[tex]\frac{1.5m}{1.5}\leq \frac{15}{1.5}\\m\leq 10[/tex]

Svetlana can allow her hair to grow for 10 months.

Keywords: linear inequality, division

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Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land consists of forest, rivers and pastures. How many acres are used for exhibits?

Answers

88.8 acres are used for exhibits

Step-by-step explanation:

Given

Total area of Greenfield = 24 acres

Percentage of lad for exhibits = 37%

Now,

[tex]Acres\ used\ for\ exhibits = 37\%\ of\ 240\\= \frac{37}{100} * 240\\=0.37*240\\=88.8\ acres[/tex]

Hence,

88.8 acres are used for exhibits

Keywords: Percentage, percent

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A charity received a donation of 25.6 million. If this represents 54% of the charity‘s donated funds, what is the total amount of it’s donated funds. Round your answer to the nearest million

Answers

Answer:

Step-by-step explanation:

100%-54%=46%

46%*25.6m=11,776,000

25,600,000+11,776,000=

37,376,000 Answer

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