Which of the following is a true statement about skew lines?
A. Skew lines are parallel.
B. Skew lines intersect at a single point.
C. Skew lines are perpendicular.
D. Skew lines do not lie in the same plane

Answer:

See explanation

Step-by-step explanation:

Consider triangles ABD and BEC. In these tirangles:

So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus

[tex]\dfrac{BD}{BC}=\dfrac{DA}{CE}=\dfrac{AB}{BE}\Rightarrow BE\cdot DA=AB\cdot CE[/tex]

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{a}~,~\stackrel{y_1}{b})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{d})\qquad \qquad d = \sqrt{\underset{\underset{\textit{horizontal distance}}{\uparrow }}{( x_2- x_1)^2} + ( y_2- y_1)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{so in short is just }x_2-x_1[/tex]

Answer:

[tex]x=1(+/-)0.5i\sqrt{10}[/tex]

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]2x^{2}=4x-7[/tex]  

[tex]2x^{2}-4x+7=0[/tex]  

so

[tex]a=2\\b=-4\\c=7[/tex]

substitute

[tex]x=\frac{4(+/-)\sqrt{(-4)^{2}-4(2)(7)}} {2(2)}[/tex]

[tex]x=\frac{4(+/-)\sqrt{-40}} {4}[/tex]

Remember that

[tex]i=\sqrt{-1}[/tex]

[tex]x=\frac{4(+/-)2i\sqrt{10}} {4}[/tex]

[tex]x=1(+/-)0.5i\sqrt{10}[/tex]

Answer:

1 and 4 should be the answer since 1 is 4 just angled differently

^-^

Answer:

(x + 2)²

Step-by-step explanation:

x² + 4x + 4 ← is a perfect square of the form

(x + a)² = x² + 2ax + a²

Comparing coefficients of like terms

4 = 2² ⇒ a = 2 and 2ax = (2 × 2)x = 4x

Hence

x² + 4x + 4 = (x + 2)²

Answer:

p^3

--------

n^6

Answer: correct option is C

Step-by-step explanation:

Took test

Answer:

F ................................

It has 3 zeroes which are

[tex]\frac{-1}{2}, -1, \frac{4}{5}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The answer in the procedure

Step-by-step explanation:

Let

m1 and m2 ----> the slopes of the lines constructed

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

therefore

To verify if the lines constructed are perpendicular

Multiply their slopes

if m1*m2=-1 ------> the lines are perpendicular

Answer:

C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right

Step-by-step explanation:

Distribute -0.2:

-0.2 * x = -0.2x

-0.2 * -4 = 0.8

-0.2x + 0.8 = -1.7

Subtract 0.8 from both sides:

0.8 - 0.8 = 0

-1.7 - .8 = -2.5

Divide -.2x from both sides:

-0.2x = -2.5

x = 12.5

Hence, the value of x is 12.5

Answer: C I think. My answers are all confusing so I apologize if I make u get it wrong.

Step-by-step explanation:

Answer:

7/78 - 35/78i

Step-by-step explanation:

A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:

a + bi

For the expression, 7/ 3-15i

(7/ 3-15i) (3+15i)

21 - 105i / (234)

7/78 - 35/78i

Answer:

Step-by-step explanation:

Initial # = 176 fans

Final # = 202 fans

Increase = 202 - 176 = 26 fans

% increase = 100% x (Increase / initial #)

= 100 x (26/176)

= 100 x 0.1477

= 14.78%

Answer:

base= 2 cm

Step-by-step explanation:

A=1/2bh

(1/2x)40=1/2b(10)x(1/2)

20=b(10)/10

2=b

Answer:

base = 8 cm

Step-by-step explanation:

A= 1/2bh

40=1/2*b*10

40/ 1/2= 80

80/10= 8

b=8

The correct answer is (D) 1,155 miles (rounded to the nearest whole number).

To find the round trip distance from Kansas City to Denver, we need to calculate the actual distance in miles based on the scale given in the map.

On the map, 1 inch represents 3 miles. The distance from Kansas City to Denver on the map is given as 192 inches. To find the actual distance in miles:

Actual distance = (Distance on the map) × (Scale factor)

Actual distance = 192 inches × 3 miles/inch

Actual distance = 576 miles

Since the round trip distance includes going from Kansas City to Denver and back, we need to double the actual distance:

Round trip distance = 2 × 576 miles

Round trip distance = 1152 miles

So, the correct answer is (D) 1,155 miles (rounded to the nearest whole number).

To know more about map herE

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Add the like terms:

8x2+x2=9x2

-9y2-3y2=-12y2

-4x-7x=-11x

Combine each term:

9x2-12y2-11x

Hope this helps!!

The sum of the polynomial will be,9x²-6y²-11x. Option B is correct.

A polynomial is an algebraic statement made up of variables and coefficients. Variables are sometimes known as unknowns.

We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

⇒(8x²-9y²-4x)+(x²-3y²–7x)

⇒9x²-6y²-11x

The sum of the polynomial will be,9x²-6y²-11x.

Hence, option B is correct.

To learn more about polynomials, refer:

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Answer:

B. 16.2 ft

Step-by-step explanation:

one vertex to the stake is 8.1, and because the stake is the "halfway" point, the diagonal is twice that length.

8.1 * 2 = 16.2 ft

Answer:

The correct option is B.

Step-by-step explanation:

Given: Rectangle with the stake marking where diagonal intersect each other.

To find  : The length of the one of the diagonal.

Solution:

Diagonals of rectangle bisect each other into two equal parts.

So, the distance of all vertices from the stake will be same as that of the 8.1 feet.

So the length of the diagonal will be:

[tex]2\times \text{Distance from 1 vertex to the stake}[/tex]

[tex]=2\times 8.1 feet=16.2 feet[/tex]

Hence, the length of the diagonal will be 16.2.

Answer:

Statements 1, 2, 4, and 5.

Step-by-step explanation:

(Follow along with the diagram)

The first thing we should do is figure out the measure of every angle. We know immediantly that CED is 90 degrees, and consequently CEA is too. This verifies the first two statements. We are told that EB bisects AEC (AEC = CEA).  This means that EB splits AEC into two congruect angles, BEA and CEB. If BEA = CEB, and BEA + CEB = CEA, then BEA and CEB both equal 45 degrees. This verfies statement 4, and helps us start statement 5. Statement 5 says that DEB = 135 degrees. We can see that the angle DEB is made up of angles CEB and CED. We already know that CEB = 45, and CED = 90. 90 + 45 = 135. So, statement 5 is true.

Regarding the incorrect statements, I will explain why they are false. We deduced that BEA = 45, so statement 6, stating that AEB (same as BEA) is 35, is not true. Statement 3 says that CEA = 1/2 of CEB. This equation regards the angles' measurements. If we plug in their known measurements, the equation reads 90 = 1/2 of 45. Through logic, we know this is not true. So, statement 3 is also false.

Statements are true regarding the given statement and diagram1, 2, 4, and 5.

1: ∠CED is a right angle.

2: ∠CEA is a right angle.

3: m∠CEB = m∠BEA

5 : m∠DEB = 135°

The first thing we should do is figure out the measure of every angle. We know immediately that CED is 90 degrees, and consequently, CEA is too. This verifies the first two statements. We are told that EB bisects AEC (AEC = CEA).  

This means that EB splits AEC into two congruent angles, BEA and CEB. If BEA = CEB and BEA + CEB = CEA, then BEA and CEB both equal 45 degrees.

This verifies statement 4 and helps us start statement 5. Statement 5 says that DEB = 135 degrees. We can see that the angle DEB is made up of angles CEB and CED.

We know that CEB = 45, and CED = 90. 90 + 45 = 135. So, statement 5 is true.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.

Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.

In general, all congruent angles are not supplementary angles. For angles to add up to 180, they must be supplementary angles. So only right angles are congruent as well as supplementary angles because they have the same measure and they add up to 180.

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Answer:

B. y + 1 = 6(x - 6)

Step-by-step explanation:

First, find the rate of change [slope], then insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are.

Answer:

Area of rhombus = 126 m²

Explanation:

We are given that the two diagonals of the rhombus are:

D₁ = 14 meters and D₂ = 18 meters

The area of the rhombus using its diagonals can be calculated using the following rule:

[tex]Area = \frac{D_1 * D_2}{2}[/tex]

Substitute with the given values to get the area as follows:

[tex]Area = \frac{14*18}{2}=126 m^2[/tex]

Hope this helps :)

Answer:

2.16m2

Step-by-step explanation:

Answer:

The second choice, 55 cm.

Step-by-step explanation:

Formula for circumference:

[tex]\pi * d[/tex]

[tex]\frac{22}{7} * \frac{35}{2} = \frac{770}{14}  \\\\770 / 14 = 55[/tex]

The circumference of the circle is 55 cm.

Answer:

Circumference of circle is:

55 cm

Step-by-step explanation:

we are given diameter d of a circle=35/2 cm

We have to find its circumference.

We know that circumference of circle in terms of its diameter is:

Circumference=πd

Circumference=[tex]\dfrac{22}{7}\times \dfrac{35}{2}[/tex]

                        =55 cm

Hence, circumference of circle is:

55 cm

Answer:

x = 95 - 4y

Step-by-step explanation:

Let the pieces he has now be a variable x and the no. of students in his class be y, So the pieces he gave to everyone become 4y (note that 4 here means he had given four to each) and as he had won 95 pieces at the fair in the starting,

therefore the equation becomes:-

x = 95 - 4y

The expression for how many pieces of gum Deshawn has now is 95 - (4 x number of students in his math class).

To find out how many pieces of gum Deshawn has after giving four to every student in his math class, we need to subtract the number of pieces of gum he gave away from the total number he won at the county fair.

We can represent this situation using the expression: 95 - (4 x number of students in Deshawn's math class).

For example, if there were 20 students in Deshawn's math class, the expression would be: 95 - (4 x 20) = 95 - 80 = 15.

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Answer:

1. 702 square centimeters

2. m∠YWX = 63°

Step-by-step explanation:

1.

The total surface area is area of all the sides.

Adding all these up  154 + 120 + 120 + 168 + 140 = 702 centimeters square.

2.

Angle WYX is equal to 46° (vertical angles are equal).

Now looking at triangle XWY, we know all three angles will add up to 180°. Given x =71° and Y = 46°, we can figure out W (Angle YWX)

71 + 46 + Angle YWX = 180

Angle YWX = 180 - 71 - 46 = 63°

Second answer choice is correct.

Answer:

The correct answer is B. point

Step-by-step explanation:

We know that a line has a length so option a cannot be correct.

A point is represented by a dot which has no length, width and height.

A ray is formed by a collection of points which altogether make its length.

Similarly an angle is formed by two rays.

So, angle, ray and line, all of them have length, width or height.

Hence, B. Point is the right answer ..

Answer:

D

Step-by-step explanation:

f(2)=4(2)-12

=8-12

=-4

Answer:

D. -4

Step-by-step explanation:

We have the following function:

[tex]f(x)=4x-12[/tex]

and we are asked to find the value of the function [tex]f(x)[/tex] when the variable [tex]x[/tex] is equal to 2:  [tex]f(2)[/tex].

This means that we must substitute the value of [tex]x = 2[/tex] wherever there is an [tex]x[/tex] in the function:

[tex]f(2)=4(2)-12[/tex]

[tex]f(2)=8-12[/tex]

[tex]f(2)=-4[/tex]

The answer is D. -4

Answer:

(x - 1)

Step-by-step explanation:

Given

8x² - 15x + 7

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 8 × 7 = 56 and sum = - 15

The factors are - 8 and - 7

Use these factors to split the x- term

8x² - 8x - 7x + 7 ( factor the first/second and third/fourth terms )

= 8x(x - 1) - 7(x - 1) ← factor out (x - 1) from each term

= (x - 1)(8x - 7) ← in factored form

The missing factor is (x - 1)

Answer:

7 Hours 12 Minutes

Step-by-step explanation:

So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.

Final answer:

When the two printing presses work together, they complete the job in 7.2 hours by adding their rates of work.

Explanation:

To solve how long it will take for two printing presses to complete a job when working simultaneously, one needs to add their individual rates of work. The first press can print the newspaper in 12 hours, and the second press can print it in 18 hours. Their rates are 1/12 and 1/18 newspapers per hour, respectively.

To find out how many newspapers per hour they can produce together, we simply add their individual rates:

1/12 newspaper per hour (first press) + 1/18 newspaper per hour (second press) = (1/12 + 1/18) newspapers per hour

Finding a common denominator, which is 36, we get:

(3/36 + 2/36) newspapers per hour = 5/36 newspapers per hour

Now, to find how long it takes for the combined presses to print one newspaper, take the reciprocal of the combined rate:

1 / (5/36) = 36/5 hours

Therefore, if both presses work together, they will complete the job in 7.2 hours.

Answer:

z = [tex]\frac{50}{3}[/tex]

Step-by-step explanation:

The ratio of corresponding sides are equal, that is

[tex]\frac{z}{10}[/tex] = [tex]\frac{20}{12}[/tex] ( cross- multiply )

12z = 200 ( divide both sides by 12 )

z = [tex]\frac{200}{12}[/tex] = [tex]\frac{50}{3}[/tex]

Answer:   The answer is:  " 400 " .

____________________________________________

             →   20% of    400    is  80 .

____________________________________________

Step-by-step explanation:

____________________________________________

  20% of  "x" = 80 ;  Solve for  " x " ;  

20%   =  20/100 ;

         =   20 ÷  100 ;

         =   20.  ÷ 100 ;

         =   0.20  ;  

____________________________________________

Note that when dividing by 100 , we move the decimal        

point backward (when "dividing") — 2 (two) spaces —

                                since "100" has 2 (two) "zeros" .

____________________________________________

         →   0.20 = 0.2 ;  

____________________________________________

          →   (0.2) x = 80 ; Solve for "x" ;

In this case, multiply each side of the equation by "10" ; to get rid of the "decimal value" ; as follows:

          →  (10) * (0.2) x = 80 * 10) ;

   to get:

          →   2x  =  800  ;

Now, divide Each Side of the equation by "2" ;

     to isolate "x" on one side of the equation ;

      & to solve for "x" ;  as follows:

          →   2x / 2  =  800 / 2  ;

          →     x  =  400 .

____________________________________________

The answer is:  " 400 " .

____________________________________________

   →  20% of    400    is  80 .

__________________________________________________

Hope this is helpful to you!

        Best wishes in your academic pursuits

              — and within the "Brainly" community!

____________________________________________

Answer:

400

Step-by-step explanation:

20% of 400 is 80.

20% × x = 80

Multiply both sides by 100 and divide both sides by 20,.

x = 80 ×  100/20

x = 400