How do you know if two line segments are parallel?
A. The slope of one is the negative of the slope of the other.
OB. Their slopes are equal.
C. Their slopes are reciprocals.
D. Their slopes are negative reciprocals.

Answers

Answer 1

Answer: B Their slopes are equal.

Step-by-step explanation:

Answer 2

Two line segments are parallel if and only if their slopes are equal.

Option B is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two line segments are parallel if and only if their slopes are equal.

If the slopes of two lines are equal, then they have the same steepness and will never intersect.

However, if the slopes are different, the lines will intersect at some point, and they will not be parallel.

Thus,

Two line segments are parallel if and only if their slopes are equal.

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Related Questions

-8(2x +x )/-2y , if x=-5, y=2 and z=0

Answers

Answer:

             -8(2x +x )/-2y  = - 30

Step-by-step explanation:

x=-5, y=2 and z=0

-8(2x +x )/-2y =(-8•3x)/-2y = [-8•3(-5)] / (-2•2) = 120/(-4) =-30

According to the diagram, point B lies on how many faces of the pyramid? three one two four

Answers

Answer:

it lies on 4 faces hope it helps

Answer:

The answer is four.

Step-by-step explanation:

"I think of a number multiply if by itself and add 4 to the result"

Answers

Answer:

Step-by-step explanation:

let the number be x

x multiplied by x = [tex]x^{2}[/tex]

Adding 4 to the result

= [tex]x^{2}[/tex] + 4

Hope this helps

plz mark as brainliest!!!!!

Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x)

Answers

Answer:

Step-by-step explanation:

3[tex]x^{2}[/tex]+x-3= [tex]x^{2}[/tex] - 5x

combine like terms

3[tex]x^{2}[/tex] +[tex]x^{2}[/tex]= 4[tex]x^{2}[/tex]

x -5x = -4x

then combine 4[tex]x^{2}[/tex] and -4x

What is the smallest integer n such that 5n + 3 > -10

Answers

Answer:

[tex]solution set={n/n > -13/5}[/tex]

Step-by-step explanation:

[tex]5n + 3 > -10\\subtracting 3 on both sides\\5n + 3-3 > -10-3\\5n > -13\\n > -13/5 is the answer[/tex]

hope it will help :)

Isolate n:

5n + 3 > -10

Subtract 3 from both sides:

5n > -13

Divide both sides by 5:

n > -13/5

n > -2.6

An integer is a whole number, so the smallest whole number that would make the statement true would be -2:

5(-2) + 3 = -10 +3 = -7

5(-3) + 3 = -15 + 3 = -10

Since -7 is greater than -10, the answer is -2

Please help ASAP! Find y: 1/6 y− 1/2 =3− 1/2 y Thank you!

Answers

Answer:

y = [tex]\frac{21}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{6}[/tex] y - [tex]\frac{1}{2}[/tex] = 3 - [tex]\frac{1}{2}[/tex] y

Multiply through by 6 to clear the fractions

y - 3 = 18 - 3y ( add 3y to both sides )

4y - 3 = 18 ( add 3 to both sides )

4y = 21 ( divide both sides by 4 )

y = [tex]\frac{21}{4}[/tex] = 5.25

Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5

Answers

Answer:

Which Angles are you talking about?

Angles A and B?

Step-by-step explanation:

Solve for q 3(q+4/3)=2

Answers

Answer:

q = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

3(q + [tex]\frac{4}{3}[/tex] ) = 2 ← distribute left side

3q + 4 = 2 ( subtract 4 from both sides )

3q = - 2 ( divide both sides by 3 )

q = - [tex]\frac{2}{3}[/tex]

Sally begins hiking at an elevation of 224 feet. Then, she descends 131 feet

and climbs 67 feet higher than her current position. She then descends

163 feet. Write an addition sentence to describe the situation. Then determine

and interpret the sum.

Answers

Answer:

The sum −3 is an indication that Sally is 3 feet below her initial position.

Step-by-step explanation:

Represent the distances going up (ascend) as positive and distances going down (descend) as negative so that the sum is:

224 + (-131) + 67+ (-163)

Add by using the commutative property:

224 + 67 + (-131) + (-163) = 291

The sum −3 is an indication that Sally is 3 feet below her initial position.

solve by square roots 4x^2+11= 59

Answers

Answer:

x= ±2 sqrt(3)

Step-by-step explanation:

4x^2+11= 59

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4*3)

x= ±2 sqrt(3)

Subtract 11 from each side

4x^2+11-11= 59-11

4x^2 = 48

Divide by 4

4/4x^2 = 48/4

x^2 = 12

Take the square root of each side

sqrt(x^2) = sqrt(12)

x = ±sqrt(4 x 3)

which of the following lists the fractions 4/7,5/9, and 2/3 in order of least to greatest

Answers

Answer:

[tex]E. \frac{5}{9} < \frac{4}{7} < \frac{2}{3}[/tex]

f x is a prime number, then x + 1 is not a prime number.

A counterexample is x =

Answers

Answer:

x=2

Step-by-step explanation:

x=2

x+1=3

and 3 is a prime

Answer:

A counterexample is x = 3

Step-by-step explanation:

We are given that x is a prime number, and x + 1 is not a prime number. However consider the number 3. We know that 3 is a prime number, as it is present as factors of 1 and itself. However 3 + 1 = 4 - which falls into the category of a composite number, as it can divide into 2 * 2. Therefore your counterexample could be x = 3.

The sum of 20 numbers is 9. If each number were to be increased by 0.03, what is the sum of the 20 numbers in the end​

Answers

Given that :-

Sum of 20 numbers is 9

To find

Sum of these numbers after increasing each number by 0.03

Solution :-

→ We have to increase each number by 0.03. It means that we have to add 20 times 0.03.

→ So the increase in sum of number will be 20(0.03)

20(0.03) = 0.6

→ Earlier sum was 9.

After increase oof 0.6 new sum is 9+0.6

Answer is 9.6

Una compañía encuentra que su utilidad esta dada por R=2pe^-0.1p cuando au producto esta cotizado en p dolares por unidad. Encuentre la utilidad marginal con respecto al precio cuando p es a.) $5 b.) $10 c.) $15

Answers

a) La utilidad marginal al precio de $ 5 es 1.091.

b) La utilidad marginal al precio de $ 10 es 0.662.

c) La utilidad marginal al precio de $ 15 es 0.402.

La utilidad marginal es la derivada de la función utilidad. Si [tex]r(p) = 2\cdot p\cdot e^{-0.1\cdot p}[/tex], entonces la función de utilidad marginal es la siguiente:

[tex]r'(p) = \frac{dr}{dp}[/tex]

[tex]r'(p) = 2\cdot e^{-0.1\cdot p}-0.2\cdot e^{-0.1\cdot p}[/tex] (1)

Ahora procedemos a evaluar (1) para cada valor citado en el enunciado:

a) $ 5

[tex]r'(5) = 2\cdot e^{-0.1\cdot 5}-0.2\cdot e^{-0.1\cdot 5}[/tex]

[tex]r'(5) = 1.091[/tex]

La utilidad marginal al precio de $ 5 es 1.091.

b) $ 10

[tex]r'(10) = 2\cdot e^{-0.1\cdot 10}-0.2\cdot e^{-0.1\cdot 10}[/tex]

[tex]r'(10) = 0.662[/tex]

La utilidad marginal al precio de $ 10 es 0.662.

c) $ 15

[tex]r'(15) = 2\cdot e^{-0.1\cdot 15}-0.2\cdot e^{-0.1\cdot 15}[/tex]

[tex]r'(15) = 0.402[/tex]

La utilidad marginal al precio de $ 15 es 0.402.

Invitamos cordialmente a ver esta pregunta sobre utilidad marginal: https://brainly.com/question/25517381

Change 95.61º to degrees, minutes, and seconds.
a. 95° 43' 44"
b. 95° 41' 43"
c. 950 36' 36'
d. 95° 44' 60"
Please select the best answer from the choices provided

Answers

Answer:

In my opnion, i think that the answer to your question is D.  95° 44' 60"

Step-by-step explanation:

if you were to break up each of these into segments, A, and B, would not add additionally to 95.61 degrees, minutes, and seconds. C is most definitly wrong because the inch mark, and foot" marks are wrong, and there is no degree mark. Espiecailly since its not possible to be 950 degree. Therefore, I would say option D is correct.

I hope this helps good luck

PLZ HELP ASAP !!!!!!

Answers

Answer:

4.57°

Step-by-step explanation:

tan ∅ = ∆y / ∆x

tan ∅ = 8/100 = 2/25

∅= 4.57°

Find the value of x. A. 15 B. 28 C. 20 D. 40

Answers

Answer:

A. 15

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Hence,

(2x + 15)° = 1/2[(10x + 20)° - 80°]

2(2x + 15)° = (10x - 60)°

4x + 30 = 10x - 60

60 + 30 = 10x - 4x

90 = 6x

90/6 = x

15 = x

x = 15

Help ASAP! Find x: 4−x/5 + x+2/3 =6 Thank you!

Answers

Answer:

x=44

Step-by-step explanation:

Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

Answer: x=44

Step-by-step explanation: Pretty straightforward!

4-x/5 +x+2/3=6

3(4-x) + 5(x+2) = 90  (Multiply both sides of the equation by 15, a multiple of              both 5 and 3)

12-3x+5x+10=90 (Use Distributive property to multiply across parentheses)

-3x+5x=90-12+10 (Bring like terms together/Signs change when moved to the other side)

2x=88

x=44

Thank you for your time!

X + 9 < 4x
What does the X, stand for??

answers:
1. 4
2. 2
3. 3
4. 1
Pls hurry .

Answers

Answer:

Option a

4 is correct answer

hope it helped you:)

Answer:

1

Step-by-step explanation:

Please Help: 0.125r - 0.0625 + 0.25r = 0.25 + r

Answers

Answer:

r=0.5

Step-by-step explanation:

0.125r+0.25r-0.0625=0.25+r

0.375r-0.0625=0.25+r

0.375r-r=0.25+0.0625

-0.625r=0.3125

r=0.3125/0.625

r=0.5

A local service organization is wrapping gifts at the mall to raise money for charity. Yesterday, they wrapped 14 small gifts and 15 large gifts, earning a total of $205. Today, they wrapped 47 small gifts and 45 large gifts, and earned $640. How much did they charge to wrap the gifts?

Answers

Answer:

The answer is below

Step-by-step explanation:

Let the money charged to wrap a small gift be $x and the money charged to wrap a large gift be $y. The cost of wrapping 14 small gifts and 15 large gifts is $205, It can be represented by the equation:

14x + 15y = 205                 (1)

Also, the cost of wrapping 47 small gifts and 45 large gifts is $640. It can be represented by the equation:

47x + 45y = 640                 (2)

Solving equation 1 and equation 2 simultaneously. Multiply equation 1 by 3 and subtract from equation 2:

5x = 25

x = 25/5 = 5

x = 5

Put x = 5, in equation 1 and solve:

14(5) + 15y = 205

15y + 70 = 205

15y = 205 - 70

15y = 135

y = 135 / 15

y = 9

This means that the money charged to wrap the small gift is $5 and to wrap the large gifts is $9

Find a linear inequality with the following solution set. Each grid line represents one unit.(Give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1.)

Answers

Answer:

-x + 2y + 1 > 0

Step-by-step explanation:

Let's find the equation of the dashed line first. From the graph, we can see that it has a slope of 1/2 and a y-intercept of -1/2 so using slope-intercept form, the equation of the line is y = 1/2x - 1/2. Since the line is dashed and not solid, we know that we will use either < or > instead of ≤ or ≥, and because we can see that the shaded region is above the dashed line, we know that the linear equation is y > 1/2x - 1/2. However, we want the answer to be in the form ax + by + c > 0 where a, b, and c are integers so therefore:

y > 1/2x - 1/2

= 2y > x - 1

= -x + 2y + 1 > 0

A linear inequality is an expression which make comparison between linear expressions using inequalities. The linear inequality of the graph is: [tex]-x + 2y +1 > 0[/tex]

First, we calculate the slope of the dashed line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Two points on the graph will be:

[tex](x_1,y_1) = (1,0)[/tex]

[tex](x_2,y_2) = (3,1)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1-0}{3-1}[/tex]

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

The equation of the line is calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have;

[tex]y = \frac12(x - 1) + 0[/tex]

[tex]y = \frac12(x - 1)[/tex]

Multiply through by 2

[tex]2y= x - 1[/tex]

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <. Also, the upper region of the graph that is shaded means that the inequality  is >.

So, the equation becomes

[tex]2y > x-1[/tex]

Rewrite as:

[tex]-x + 2y +1 > 0[/tex]

So, the linear inequality is: [tex]-x + 2y +1 > 0[/tex]

Learn more about linear inequality at:

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slope.
31) through:(-1,-4). slope = -9
Please help

Answers

Answer:

Step-by-step explanation:

y + 4 = -9(x + 1)

y + 4 = -9x - 9

y = -9x - 13

Draw the graph of the equation 2x+5y=13

Answers

Answer:

slope= -2/5 y intercept= 13/5

Step-by-step explanation:

1. convert to slope-intercept form form

2.  5y= -2x+13

3. y= -2/5x+ 13/5

4. The slope is -2/5 and your y intercept is 13/5

5. Now you can graph it and rember your slope is rise/run or change in y/ change in x.  

Comparing rational numbers

Which statements are true? Check all that apply.

Answers

The first, third, and fourth statements.

What is the value of x?​

Answers

Answer: x=24

Step-by-step explanation:

The four angles form a linear pair and a linear pair is basically a line which means it forms 180°.

(x-5)+(3x-1)+(2x-6)+(2x)=180

Take off parentheses

x-5+3x-1+2x-6+2x=180

Move like terms together

x+3x+2x+2x-5-1-6=180

Combine like terms

8x-12=180

Add 12 on both sides

8x-12+12=180+12

8x=192

Divide 8 on both sides

8/8 x=192/8

x=24

Hope this helps!! :)

Please let me know if you have any question

simplify each expression 4a + 5a^2 + 2a^2 + a^2

Answers

Answer:

a(4+5a+2a+a) or

a(5a+2a+a+4)

Step-by-step explanation:

You could take out one A from each number since they all have an A in them. You could reorganize it and put it in numerical order. Hope this helped :)

Answer:

4a + 8a^2

Step-by-step explanation:

4a + 5a^2 + 2a^2 + a^2= 4a + 8 a^2

[tex]good \: luck[/tex]

I'll give 15 points if your answer is the best and give u brainiest​

Answers

Answer:

B; C; A; B

Step-by-step explanation:

So, let's go through each of the choices.

So we know that one of the angles is 60 degrees.

I) The triangle is scalene.

This might be true. Since there are 180 degrees in a triangle, and we know 60, that leaves 120 degrees. Anything two combinations of different values that add up to 120 will make the triangle scalene. However, if the two values are the same (e.g. 60;60), they it's not scalene. Thus, this might be true.

II) The other two angles add up to 120.

This must be true. The interior angles sum of a triangle is 180. Since we already know one is 60, then the other two must add up to be 180-60 or 120.

III) The other two angles are obtuse.

This cannot be true. We know that there is only 120 degrees left in the triangle. Obtuse angles are greater than 90 degrees.

Therefore, if we subtract the minimum: 120-90, we will get at most 30 left. This is not enough for another obtuse angle. The most we can have is one obtuse angle and two acute angles.

IV) The triangle is right-angled.

This might be true. Since there are 120 degrees left, the other two degrees may be 90 and 30, given us 30-60-90. This, however, doesn't have to be it. So, this statement may be true.

Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212 more seashells on the beach. Katie can use fractions of days to find seashells.

Answers

Answer:

Step-by-step explanation:

Sandy ran 3/8 of a mile in 3/4 at this rate how far did she run

Answers

Answer:

she ran 1 1/8  miles

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