Triangle D E F is shown. Lines are drawn from each point to the opposite side and intersect at point G. Line segments D C, E B, and F A are formed and cut each side into 2 equal parts. In triangle DEF, DG = 10 cm. What is CG? 5 cm 10 cm 15 cm 20 cm

Answer:

everything

Step-by-step explanation:

because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps

Answer:

1.

[tex](x , y) = (4 ,\: 0)[/tex]

2.

[tex](4,0) = (x,y)[/tex]

3.

[tex](x,y) = ( - 3,0)[/tex]

I hope it helps :)

Answer:

65

Step-by-step explanation:

The sum of the first 16 terms of an arithmetic progression (A.P) is 240

The sum of the next 4 terms is 220

The sum of n terms in an A.P is given by;

[tex]s_{n}[/tex] = n/2(2a + (n - 1)d)

240 = 8(2a + 15d) ... (i)

460 = 10(2a + 19d) .... (ii)

Simplifying this gives;

2a + 15d = 30 ... (i)

2a + 19d = 46 ... (ii)

Subtracting (i) from (ii) we get;

4d = 16

d (common difference) = 4

and a (first term) = (30 - 60)/ 2 = -15

The sequence upto 21 terms is here:

-15, -11, -7, -3, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 51, 55, 59, 61, 65

So the next term (21^st term) is 65.

Answer:  a₂₁ = 65

Step-by-step explanation:

The Sum of an Arithmetic Progression is the sum of the first term plus the sum of the last term divided by 2 and multiplied by the number of terms.

[tex]a_1\ \text{is the first term}\\a_n=a_1+d(n-1)\quad \text{is the value of the nth term}\\\\[/tex]

Let's find the 16th term (n = 16)

[tex]a_{16}=a_1+d(16-1)\\\\.\quad =a_1+15d[/tex]

Now let's find the sum of the first 16 terms. This will be Equation 1:

[tex]S_{16}=\dfrac{(a_1)+(a_1+15d)}{2}\times 16=240\\\\\\.\qquad 8(2a_1+15d)=240\\\\\\.\qquad 2a_1+15d=30\qquad \leftarrow \text{Equation 1}[/tex]

************************************************************************************

Repeat what we did above for the next 4 terms (n = 17 to n = 20). This will be Equation 2:

[tex]a_{17}=a_1+d(17-1)\\\\.\quad =a_1+16d\\\\\\a_{20}=a_1+d(20-1)\\\\.\quad =a_1+19d[/tex]

[tex]S_{17-20}=\dfrac{(a_1+16d)+(a_1+19d)}{2}\times 4=220\\\\\\.\qquad 2(2a_1+35d)=220\\\\\\.\qquad 2a_1+35d=110\qquad \leftarrow \text{Equation 2}[/tex]

*********************************************************************************************

Now we have a system of equations. Solve using the Elimination Method:

2a₁ + 15d = 30   → -1(2a₁ + 15d = 30)     →    -2a₁ - 15d = -30    

2a₁ + 35d = 110  →  1(2a₁ + 35d = 110)    →     2a₁ + 35d = 110  

                                                                             20d = 80

                                                                                  d = 4

Input d = 4 into one the equations to solve for a₁:

Equation 1: 2a₁ + 15d = 30

                  2a₁ + 15(4) = 30

                    2a₁ + 60 = 30

                             2a₁ = -30

                               a₁ = -15

Given a₁ = -15 and d = 4, we can find the next term (n = 21)

[tex]a_n=a_1+d(n-1)\\\\a_{21}=-15+4(21-1)\\\\.\quad =-15+4(20)\\\\.\quad = -15+80\\\\.\quad = 65[/tex]

Answer:

Correct (1,9), (2,14)

Incorrect (1,8),(2,13)

Step-by-step explanation:

It is simple.

To find the correct values plug a x value.

For Example;

X=1

y=5(1)+4

y=5+4

y=9

so your X value is 1 and your Y value is 9

To solve for the incorrect values

Find the correct values and subtract 1 form the Y value.

Answer:

a. 113.1 cm^3.

b. 339.29 cm^3.

c. 18 cm.

d. 508.94 cm^3.

e. 169.65 cm^3.

Step-by-step explanation:

a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 [tex]cm^{3}[/tex].

b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.

c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.

d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.

e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.

Hope this helps!!

Answer:

Step-by-step explanation:

[tex](x + 2)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)

[tex]x(x - 3) + 2(x - 3)[/tex]

Calculate the product

[tex] {x}^{2} - 3x + 2x - 6[/tex]

Collect like terms

[tex] {x}^{2} - x - 6[/tex]

Hope this helps..

Best regards!

Answer:

Step-by-step explanation:

Given, (x+2) (x-3)

Multiply every term

(x)(x) + (2)(x) + (-3)(x) + (-3)(2)

x^2 + 2x - 3x -6

x^2 - x -6

HOPE IT HELPS :)

GOOD LUCK WITH YOUR ASSIGNMENT!

Answer is 66.

I hope it will help you:)

Answer:

= 66

Step-by-step explanation:

The two integers are -22 and -24, because they are both even and consecutive, and adding them equals -46.

-24 divided by 4 is -6, and -22 plus 11 is -11

Now all we have to do is find the product (multiply  -11 and -6)

And this gives us the answer: 66

Answer:

14.42 units

Step-by-step explanation:

Assuming that this is a right triangle (i.e ∠ACB = 90°), we can use the Pythagorean formula to solve this:

AB² = AC² + BC²

AB² = 12² + 8²

AB = √(12² + 8²)

AB = 14.42 units

Answer:

Step-by-step explanation:

to decrease a number by 40% i would do

100% = number you got

50% divide by 2

10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%

then take the 40% away from the 100%

hope this helps :)

Answer: 1 real and 2 complex.

Step-by-step explanation:

A cubic polynomial is written as:

a*x^3 + b*x^2 + c*x + d

And the zeros are such that:

a*x^3 + b*x^2 + c*x + d  = 0

As the degree of the polynomial is 3, then we have 3 solutions (where some of them may be equal)

Now, an easy way to see the real and complex zeros of a polynomial is:

If after a change in curvature, the line touches the x-axis : that is a real zero

if it does not, then there we have a complex zero.

Here we can see two lines that do not touch the x-axis and one line that does touch the x-axis.

Then we have 2 complex zeros and one real zero.

Answer:

d = 9

Step-by-step explanation:

Use the slope formula to calculate m and equate to m = 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

Answer:

y<=-x+3 and y<=2x+1

Step-by-step explanation:

y=-x+3 is the orange line. The shaded region is below so its y<-x+3

y=2x+1 is the blue line. The shaded region is below so y<2x+1

Answer:

  an = 5n -7

Step-by-step explanation:

Try the offered formulas with n= 1 and see which gives you the first term of the sequence.

an = -2n +3

  -2(1) +3 = 1 . . . . not -2

an = -2n +7

  -2(1) +7 = 5 . . . . not -2

an = 5n +3

  5(1) +3 = 8 . . . . not -2

an = 5n -7

  5(1) -7 = -2 . . . . this is the formula you want

_____

If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.

Step-by-step explanation:

bhdjdjsjshhdfhfbtvyvyvjdjshdjfy

Step-by-step explanation:

I answered the first three in your next question :)

4) 2x + 15 = 37

Subtract 15

2x = 12

Divide by 2

x = 6

Ryan is 6 years old

5) A = 2/5(10)

A = 4

Andy is 4 years old

Hope it helps <3

Answer:

y = 4

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{4\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross-  multiply )

y × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 4

Answer:

y=4

Step-by-step explanation:

If we have a triangle with angles A, B, and C. The law of sines says that the proportion between the sin of angle A and its opposite side is equal to the proportion between the sin of angle B and its opposite side and it is equal to the proportion between the sin of angle C and its opposite side.

So, by the law of sines we can say that:

[tex]\frac{sen(60)}{4\sqrt{3} } =\frac{sen(30)}{y}[/tex]

Solving for y, we get:

[tex]sin(60)*y=4\sqrt{3}*sin(30)\\\frac{\sqrt{3} }{2}y=4\sqrt{3}*0.5\\ \frac{1}{2} y=4*0.5\\y = 4[/tex]

the 1st one

third one

fourth one

the last one

each of the equation has one of the common factor out

12(x + 3y),  6(2x + 6y),  4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.

An expression is combination of variables, numbers and operators.

Equivalent expressions are expressions that work the same even though they look different.

The given expression is 12x + 36y.

Twelve times of x plus thirty six times of y.

When we solve each expression we have to get 12x + 36y.

1. 12(x + 3y)- Equivalent expression

By distributive property

=12x+36y

2. 9(3x + 4y)- Not Equivalent expression.

27x+36y

3. 6(2x + 6y)- Equivalent expression

12x+36y

4. 4(3x + 9y)-Equivalent expression

5. 2(6x + 24y)- Not Equivalent expression.

12x+48y

6. 3(4x + 12y)-Equivalent expression

12x+36y

Hence, 12(x + 3y),  6(2x + 6y),  4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ5

Answer:

D. so you don't confuse properties of the model with properties of the real thing.

2-Mathematical and computer models are similar because both involve using calculation to represent an object or system

3- Some models can illustrate a system. What does the term system refer to

A. a collection of interacting things

4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy

5. An advantage of describing a cell as being like a factory is that it _____

A. makes cells easier to understand

6- C. cheaper and more complex

7-C. clearly explained where electrons were located in an atom

8-C. a physical model

9-B. can be easier to change

GOOD LUCK

Answer:

50.27

Step-by-step explanation:

First, we have to find the volume of the cone using the formula V=πr^2h/3, where pi is 3.14. After plugging everything in, we get V = 75.4. Then, we have to find 2/3 of that. Rounding to the nearest hundredth, we get 2/3 x 75.4 = 50.27.

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent.

m∠OAB = m∠OCB = 90°

[tex]m\angle AOC=\stackrel{\big{\frown}}{ADC}=96^o[/tex]

The sum of the angles in the quadrilateral is 360°, so:

x = 360° - 2•90° - 96° = 84°

Answer:

the answer is XY = 24 units.

Step-by-step explanation:

Given:

XY is tangent to the circles with center P and O respectively.

OX=16 units

PY=6 units

OP=26 units

To find:

Side XY = ?

Solution:

As per given statement, the diagram of two circles and their tangent is shown in the diagram.

We need to do one construction here,

Draw a line parallel to tangent XY from P towards OX such that it meets OX at A .

Now, let us consider triangle [tex]\triangle OAP[/tex]. It is a right angled triangle.

With sides Hypotenuse, OP = 26 units  

Perpendicular, OA = 16 -6  = 10 units

Base AP is equal to XY.

If we find the value of Base AP, the value of XY is calculated automatically.

Let us use pythagorean theorem in [tex]\triangle OAP[/tex]:

According to pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OP^{2} = AP^{2} + OA^{2} \\\Rightarrow 26^2=XY^2+10^2\\\Rightarrow XY^2 = 676- 100\\\Rightarrow XY = \sqrt{576}\\\Rightarrow XY = 24\ units[/tex]

Hence, the answer is XY = 24 units.

Q;- Marx and Engels believed that a. people in a good environment would behave unselfishly. b. people should create utopian communities. c. the capitalist system should be destroyed. d. workers should improve conditions by taking political office. Please select the best answer from the choices provided A B C D

A;- Marx and Engels believed that the capitalist system should be destroyed.

Answer:

32 degrees

Step-by-step explanation:

The interior angles of a triangle always add up to 180.

Subtract the sum of 106 and 42 from 180.

180-(106+42)

180-(148)

32

x is equal to 32 degrees.

Answer:

Step-by-step explanation:

If the number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modeled by the exponential function R(d) = 150(1.03)^d, to calculate the number of representatives that the company have after 75 days, we will substitute d = 75 into the modeled equation.

R(75) = 150(1.03)^75

R(75) = 150*9.1789

R(75) = 1,376.835

Hence, the company have about 1377 representatives after 75 days.

Answer:

Step-by-step explanation:

The average number of runs scored by a Little League team in a game is 5.7. If he chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs, their average score of the five games is expressed as shown;

Average score of 5 games = (5+9+4+11+8)/5

Average score of 5 games  = 37/5

Average score of 5 games  = 7.4

Comparing the average score in 5 games to the the average number of runs scored nationally, it can be seen that their difference is 7.4 - 5.7 which is 1.7. Since the difference is quite significant, then it is most likely that his team's scores is different from the national distribution.  

Answer:

$45.

Step-by-step explanation:

When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.

Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.

Hope this helps!

Answer:

f(-1) = 12

Step-by-step explanation:

Using the graph for f(x)  let x=-1

Find the y value when x= -1

f(-1) = 12

Answer:

The triangle inequality states that the sum of the two shortest side lengths must be greater than the largest side length of the triangle. Basically, we need to find if DE + FE > DF. We know that DE = 1/2 DF and FE = 1/3 DF so the inequality becomes 1/2 DF + 1/3 DF > DF which simplifies to 5/6 DF > DF. Since 5/6th of a number will never be greater than itself, the answer is ED + EF < DF.

Answer:

B. ED + EF < DF

Explanation:

May I get brainliest please? :)

Answer:

40 apples

Step-by-step explanation:

2 apples= [tex]\frac{1}{5}[/tex] grams

x apples= 4 grams

 8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40

Answer:

40

Step-by-step explanation:

edu instruction correct

Answer:

A’B’C’

Step-by-step explanation:

Well if triangle ABC is rotated 90 degrees clockwise around the origin it will turn right to create triangle A’B’C’.