four points are always complanar if

Answer:

[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]

Build a proportional equation:

[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]

[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]

[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]

[tex]\rightarrow \sf 100 = 6x+60[/tex]

[tex]\rightarrow \sf 40= 6x[/tex]

[tex]\rightarrow \sf x = 40/6[/tex]

[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]

[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

The total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

From the question, we are to determine the total surface area of the cylinder

The total surface area of a cylinder can be calculated by using the formula,

T.S.A = 2πr² + 2πrh = 2πr(r +h)

Where r is the radius

and h  is the height

From the given information,

h = 8 cm

r = 4 cm

Putting the parameters into the formula, we get

T.S.A = 2π×4(4 +8)

T.S.A = 8π(12)

T.S.A = 96π cm²

Hence, the total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

Learn more on Calculating Total surface area of a Cylinder here: https://brainly.com/question/15389804

#SPJ1

Answer:

20%

Step-by-step explanation:

2:10 = 2/10 = 20/100 = 20%

Answer:

in terms of pi: 24pi cm squared

substituting pi for 3.14: 75.36 cm squared

Step-by-step explanation:

8pi + 16pi = 24pi

Answer:

Step-by-step explanation:

You want to find the horizontal and vertical distances between two points, and you want to know how to use those to find the distance between those points.

__

The x-coordinate of a point is its horizontal distance from the y-axis. The horizontal distance between two points will be the difference of their x-coordinates.

If the points are (3, -4) and (x, y), the x-coordinates are 3 and x. The difference between those coordinates can be written as x-3. (Usually, we subtract the first point from the second one.)

The horizontal distance from (3, -4) to (x, y) is (x -3).

__

In like fashion, the y-coordinate of a point is its vertical distance from the x-axis. The vertical distance between two points will be the difference of their y-coordinates.

For the points (3, -4) and (x, y), the y-coordinates are -4 and y. The difference between those coordinates is y -(-4) = y +4.

The vertical distance from (3, -4) to (x, y) is (y +4).

__

As the attachment shows, the horizontal and vertical distances between the two points can be considered to be the legs of a right triangle. The "total" distance between the points is the straight-line distance. It is the hypotenuse of that triangle.

The Pythagorean theorem gives the relation between the sides and hypotenuse of a right triangle. In this context, the Pythagorean theorem can be used to create an equation showing the relationship between the legs of the triangle and the distance from (x, y) to the center. (That distance is the radius.)

In particular, the equation created is ...

  (x -3)² +(y +4)² = 7²

_____

Additional comment

For right triangle legs 'a' and 'b', and hypotenuse 'c', the Pythagorean theorem tells you ...

  a² +b² = c²

The sum of the squares of the sides is equal to the square of the hypotenuse.

A B and F seem like questions that make sense :)

Answer:

Abc

Step-by-step explanation:

they make the most reasonable answers

y=-2x

Step-by-step explanation:

it can't be y=2x and y=-½ because it passes by the opposite side of the given graph

Answer:

1 and 5 are corresponding angle

8 and 4 are corresponding angle

4 and 6 are alternate interior angle

2 and 8 are alternate exterior angle

7 and 3 are corresponding angle

2 and 6 are corresponding angle

3 and 5 are alternate interior angle

1 and 7 are alternate exterior angle

Answer:

3360.

Step-by-step explanation:

That would be the number of permutations of 3 from 16.

= 16P3

= 16!/(16-3)!

= 16*15*14

= 3360

Answer:

3 360 permutations

Step-by-step explanation:

the number of permutations :

16P3 = 16 × 15 × 14 = 3 360

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

Answer:

j=-56

Step-by-step explanation:

Hi!

j-38 = -95

Because -95 is negative, j has to be less than one. If a negative is subtracted off of a negative, the number becomes smaller -95+39= j.

-95+39=-56

Answer:

j = -56

Step-by-step explanation:

j - 39 = -95

Add 39 to both sides:

j - 39 = -95

 + 39  + 39

j = -56

Final answer: j = -56

Hope this helps!

Answer:

It is the fourth option, D.

Answer:

I think your answer is A, correct me if I'm wrong

Answer:

2/3 of 24 is 16/24

5/8 of 24 is 15/24

Step-by-step explanation:

if you multiply across 2/3 by 8/8 it equal to 16/24

if you multiply across 5/8 by 3/3 it equal to 15/24

Answer:

16/24 and  15/24

Step-by-step explanation:

To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.

Answer:

43÷100*2100=903

Step-by-step explanation:

43 devide by 100 because it is a percentage, we always devide percentages by 100. It gives an answer of 0,43.

0,43 multiply by 2100 because we need a cost.

The solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

The equation is given as:

[tex]\sqrt[3]{x + 8} = -4[/tex]

Take the cube of both sides

x + 8 = -64

Subtract 8 from both sides

x = 72

Hence, the solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

Read more about equation solutions at:

https://brainly.com/question/2972832

#SPJ4

Answer:

2

5

Step-by-step explanation:

fraction of girls in the class is 6

5

so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4

10(total number of students) is

2

5 when simplified

Answer:

35°

Step-by-step explanation:

7π=210°

so I assume you just divide 210° by 6 and that comes out to 35°

I HOPE this helps!

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]

The Tree casts a height of 10.41 feet tall.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Connor is 6 feet tall and casts a shadow that is 2.5 feet long.

He stands next to a tree that is 25 feet tall.

let the shadow of tree is x feet long.

Using proportion

6/ 2.5 = 25/x

6x = 62.5

x= 10.41 feet

Learn more about Proportion here:

https://brainly.com/question/26974513

#SPJ2

Answer:

Quadrant 3 so the answer should be c

596/1000 and 59.6%

Step-by-step explanation:

because when we make 596/1000 is 0.596

Step-by-step explanation:

3,740,231,580

we normally start rounding from the end so the last number should be checked. If it's not more than 5, then make it a zero and move on to the next. if it's more than five, make the number zero and add 1 to the the next number. So this is how it will look.

3,740,231,580

3,740,231,580

3,740,231,590

3,740,231,600

3,740,232,000

3,740,230,000

3,740,200,000

3,740,000,000

And I think that's it

Using the Empirical Rule, it is found that she scores between 119 and 141 on 68% of the games that she bowls.

It states that, for a normally distributed random variable:

In this problem, considering that the mean is of 130 and the standard deviation is of 11, the interval between 119 and 141 is within one standard deviation of the mean, hence she scores between 119 and 141 on 68% of the games that she bowls.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

#SPJ1

Answer:

Step 2

Step-by-step explanation:

Solving

The error has occurred in Step 2.

The distribution of -2 to 6y and -5 gives -12y and 10 respectively.

Instead, the distribution has not happened between -2 and -5.

The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.

To verify that the series meets the requirements, we must establish what the requirements are:

To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.

In total there must be 14 numbers and they must add up to 77.

5+6+8+9+4+6+7+3+9+2+8+9+1 = 77

Learn more about numbers in: https://brainly.com/question/17429689

#SPJ1

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

Answer:

3.7

Step-by-step explanation:

Given

Solving for cosθ

Finding tanθ

Verifying it lies in the range

The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.

j + t = 33 equation 1

4t = 2j

j = 2t equation 2

Where:

j = number of jolly rangers

t = j = number of twix

Substitute for j in equation 1 using equation 2

2t + t = 33

3t = 33

t = 11

Subsitute for t in equation 2

j = 11 x 2 = 33

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

#SPJ1