True or False: If a pair of lines is not parallel, it must be perpendicular.

Answers

Answer 1

Answer:

False

Step-by-step explanation:

Parallel lines are lines that never intersect.  If the line changes slightly, the lines will intersect. This doesn't mean that it's perpendicular

Perpendicular lines are lines that intersect in such a way that the lines form 90 degree angles.

Answer 2

The statement is false. Non-parallel lines are not necessarily perpendicular; they can intersect at any angle other than right angles.

The statement 'If a pair of lines is not parallel, it must be perpendicular' is False. Not all non-parallel lines are perpendicular. Perpendicular lines are a specific case of non-parallel lines where they meet at right angles (90 degrees). Non-parallel lines that are not perpendicular to each other may intersect at any other angle, which could be acute or obtuse but not 90 degrees.

Theorem 10 supports this by stating that 'If two lines cut a third at the same angle, that is, so that corresponding angles are equal, a line can be drawn that is perpendicular to both'. Theorem 14 also relates as it informs 'If a line is perpendicular to two intersecting lines at their intersection, it is perpendicular to all lines of their plane passing through this point'. However, non-parallel lines that do not satisfy these conditions are simply intersecting lines at some angle other than 90 degrees.


Related Questions

Luna packed two chocolate bars for the trip.One s’more uses 1/12 of a bar. How should we complete model

Answers

The days will the chocolate last is A) More than 12 days . Therefore A) More than 12 days is correct .

One chocolate bar lasts for 12 days because 1 / (1/12) = 12

Two chocolate bars last for 24 days because 12 * 2 = 24

So, even if Luna has one s'more a day, the chocolate will last for more than 12 days.

The other options are not as likely:

Option (B) is less likely because two chocolate bars would still last for more than a day, even if she had one s'more a day.

Option (C) is possible, but it's less likely than option (A) because two chocolate bars would provide more than 12 s'mores worth of chocolate.

Therefore, the answer is A) More than 12 days.

Question

Luna packed two chocolate bars for the trip. One s'more uses 1/12 of a bar. If she has one s'more a day, about how many days will the chocolate last?

A) More than 12 days

B) Less than 1 day

C) Between 1 and 12 days

Which numbers are irrational? Select all that apply.
0 9/15
0 v18
0 v9
0 v169
0 v78
0 3.14

Answers

The correct question is;

Which numbers are irrational? Select all that apply.

A) 9/15

B)√18

C)√9

D) √169

E) √78

F)π = 3.14...

Answer:

The irrational numbers are;

√18 ; √78 and π = 3.14...

Step-by-step explanation:

An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

Thus;

A) 9/15 = 0.6 It's decimal stops after 6 and thus it is not irrational

B) √18 = 4.242640687119285.... The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number

C) √9 = 3. Doesn't have a repeating or continuous decimal and thus it's not irrational

D) √169 = 13. Doesn't have a repeating or continuous decimal and thus it's not irrational

E) √78 = 8.831760866327846......

The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number

F) π = 3.14.... The continuous dots means it's decimal doesn't stop. The decimal doesn't repeat and so, it's an irrational function

Answer:

v18

v78

3.14

Step-by-step explanation:

Which numbers are irrational? Select all that apply.

StartFraction 9 Over 15 EndFraction

StartRoot 18 EndRoot

StartRoot 9 EndRoot

StartRoot 169 EndRoot

StartRoot 78 EndRoot

Pi

The town Diego lives in has a population of about 16,000. Describe all the numbers that, when rounded to the nearest hundred, round to the 16,000. Numbers greater than or equal to_________and less than________

Answers

Answer:

Numbers greater than or equal to 15950 and less than 16050.

Step-by-step explanation:

Given:

The town Diego lives in has a population of about 16,000

To fill: the blanks

Solution:

Numbers 15950, 15951, 15952, 15953,...., 16000, 16001, 16002,..., 16049 are rounded off to 16,000 when rounded to the nearest hundred.

In other language, numbers greater than or equal to 15950 and less than 16050

Numbers greater than or equal to 15950 and numbers less than or equal to 16049 will round round to 16000 when rounded to the nearest hundred.

To round to the nearest hundred :

When the value of the tens digit is greater than or equal to 5, it is rounded up to 1 and added to the hundred digit If the tens digit is less than 5, it is rounded to 0.15950, tens digit is 5, when rounded to 1 and added to the hundred digit, we have 16,00016049 ; tens digit is 4, it is rounded to 0 a d we have 16000

Therefore, Values below 15950 and beyond 16049 will not round to 16000(to the nearest hundred).

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​A rectangle has length x and width y.
​The perimeter of the rectangle ​is 32.

​Part A
Write an equation that represents the relationship between x and y described above.

Answers

Answer:

2x + 2y = 32

Step-by-step explanation:

2 sides of each rectangle are always equal to each other, and there's 2 pairs of that, top&bottom and side&side

The perimeter is all the sides added together, so it's x + x +y +y, which can be written as 2x + 2y

Final answer:

The relationship between the length (x) and width (y) of a rectangle with a perimeter of 32 can be represented by the equation 2*(x+y)=32, derived from the formula for the perimeter of a rectangle.

Explanation:

The subject of this question is mathematics, specifically relating to geometry and algebra. To express the relationship between the length, x, and width, y, of a rectangle with a perimeter of 32, you can form an equation based on the formula for the perimeter of a rectangle.

The formula for the perimeter of a rectangle is 2*(length+width). In this case, the length is x and the width is y, and we know that the total perimeter is 32. This can be expressed in the following equation: 2*(x+y) = 32.

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Find the equation of the line parallel to x + y = 7 and through the point (-3,2). Write your answer in slope-intercept form.

Answers

Answer:

r:x+y=7 P0 (-3,2)

r// y=x

y-y0=m0(x-x0)

y-2=1(x+3)

y-2=x+3

y=x+5

Alex paid a total of $530 for t tickets to a concert. How much did each ticket cost?

Answers

Answer:

$530/T

Step-by-step explanation:

Answer all these get 100 points

Answers

Answer:

1. S

2. diameter

3. secant

4. central angle

5. minor arc

6. tangent

7. radius

8. semi circle

9. chord

10. major arc

Step-by-step explanation:

I think this is the answer-

1. S

2. Diameter

3. Secant

4. Central Angle

5. Minor Arc

6. Tangent

7. Radius

8. Semi Circle

9. Chord

10. Major arc

I hope this helps you!!!!!
I tried my best!!!

please solve for x!

correct answers, please!

Answers

(x + 10) + (x + 10) = 90

90 - (10 + 10) = 70

70/2 = 35

x = 35

Have a great day!

Answer:

x = 35

Step-by-step explanation:

Since we know that this is a right angle, we know that the total has to equal 90 degrees. From there, we can make an equation:

(x+10) + ( x+10) = 90

2x +20 = 90

2x = 70

x = 35

Hope this helped and pls mark as brainliest!

~Luna

Please look at the attachment to help me solve this problem!! It would be very much appreciated!!!

Answers

Answer:

C

Step-by-step explanation:

Angles on a straight line is 180

Answer:

pretty sure it's the third option.

Step-by-step explanation:

I've done this before.e

In the figure below, find the exact value of y. (Do not approximate your answer.)

Answers

Answer:

I need the answer

Step-by-step explanation:

How many milliliters equal 54.7 liters?

Answers

Answer:

54700

Step-by-step explanation:

Answer:

Their are 54700 milliliters  in a liter

Step-by-step explanation:

The volume of a sphere is 288 in3. What is the radius?

Answers

Answer:

[tex]4cm[/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi \: r \\ \\ solving \: \: \: for \: \: \: radius \\ \\ r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ \: \: \: \: = (3 \times \frac{288}{4 \times \pi} )^{ \frac{1}{3} } \\ \: \: \: \: ≈

4.0967[/tex]

select the one answer. 2x+3x3

Answers

Answer:

2 times x plus 3 times x cubed.

Step-by-step explanation:

2x = 2 * x = two times (multiplied) by x.

+ = plus.

3x^3 = 3 * x^3 = three times (multiplied) by x cubed.

~

What is the factored form of this expression?
x2 + 17x + 60

Answers

Answer:

( x + 5 ) ( x + 12 )

Step-by-step explanation:

hope it helps

(x+5) (x+12)
I just took it

HELP ASAPP !!!
A. x=60;y=140

B. x=60;y=70

C. x=105;y=95

D. x=105;y=47.5

Answers

Answer:

B

Step-by-step explanation:

Y look like it's close to 90 degrees.

The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a humanities class, given the student is male. Round to the nearest thousandth.

Male Female

Humanities 70 80
Science 50 80
Other 60 70

A. 0.171
B. 0.467
C. 0.269
D. 0.389

Answers

Answer:D. 0.039

Step-by-step explanation:

The probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have the total number of male students = 70+50+60 = 180

So, the total number of outcomes = 180

Total number of male students who take humanities class = 70

Now, the probability = 70/180 = 0.388 ≈ 0.389

Thus, the probability that a student is taking a humanities class, given the student is male, is 0.389 option (D) is correct.

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Everfi module 3 budgeting for wants

Answers

Answer:

The budget breakdown is as follows;

Savings = $354.00

Clothing = $88.50

Entertainment = $88.50

Charitable giving = $44.00

Amount left = $0.00

Step-by-step explanation:

In the budgeting process, needs and the recurring expenditures are first addressed followed by savings which consists of emergency funds that can be used on unexpected expenses and reduces the tendency for borrowing.

Therefore, the appropriate amount for savings in a budget is found from the 50-20-30 rule.

That is the after tax income is weighted to 100 from which;

50% is expended on needs and recurring expenditures

20% of the after tax income should be kept as savings and

30% can be spent on wants

Based on the above rule, with a take home pay of $1,770 we have;

Amount meant for savings = 20% of $1,770 = $354.00

Since $354.00 is to be kept as savings we have;

Amount on Clothing + Entertainment + Charitable = $575 - $374 = $221

The amount on clothing should be 5% of the monthly income, which gives;

5% of $1,770 = 0.05× $1,770 = $88.5

Therefore amount on entertainment which should also be 5% =$88.5

Hence the amount for charitable giving = $221 - $88.5 - $88.5 = $44.00

Hence the budget breakdown should be;

Savings = $354.00

Clothing = $88.50

Entertainment = $88.50

Charitable giving = $44.00

Amount left = $0.00.

Budget represents financial plan over a period of time.

The money would be allocated as follows:

[tex]Savings = \$354[/tex][tex]Clothing = \$88.5[/tex][tex]Entertainment = \$88.5[/tex][tex]Charitable\ Giving = \$44[/tex]

The total home pay is given as:

[tex]Total = \$1770[/tex]

In budget, 20% are always allocated to savings.

So, we have:

[tex]Savings = 20\% \times Total[/tex]

[tex]Savings = 20\% \times \$1770[/tex]

[tex]Savings = \$354[/tex]

The amount to spend is given as:

[tex]Spend = \$575[/tex]

The amount left, after savings is:

[tex]Amount = Spend - Savings[/tex]

[tex]Amount = \$575 - \$354[/tex]

[tex]Amount = \$221[/tex]

The $221 would be spent on entertainments, clothing and charitable givings.

In budgets, 5% of total home pay is always allocated for entertainments and for clothing.

So, we have:

[tex]Clothing = 5\% \times Total[/tex]

[tex]Clothing = 5\% \times \$1770[/tex]

[tex]Clothing = \$88.5[/tex]

Also

[tex]Entertainment = Clothing = \$88.5[/tex]

The amount on charitable giving is:

[tex]Giving = Amount\ Left - Entertainment - Clothing[/tex]

[tex]Giving = \$221 - \$88.5 - \$88.5[/tex]

[tex]Giving = \$44[/tex]

Hence, the money would be allocated as follows:

[tex]Savings = \$354[/tex]

[tex]Clothing = \$88.5[/tex]

[tex]Entertainment = \$88.5[/tex]

[tex]Charitable\ Giving = \$44[/tex]

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Graph the data set . Which kind of model best describes the data?


Quadratic


Linear


Cubic


Exponential

Answers

Answer:

exponencialy = e0.6931x

Step-by-step explanation:

Which fraction is equivalent to 4/-9? A. -4/-9 B. 9/4 C.-9/4 D. -4/9

Answers

Answer:

-4/9 ,Option d

Step-by-step explanation:

4/-9

=-4/9

-4/-9=4/9 which is not equivalent

=9/4 is not equal to 4/-9

=-9/4 is not equal to 4/-9

It’s D because it’s the opposite of 4/-9

PLEASE HELP ME!! f(x) = -4x2 + 10x – 8
What is the value of the discriminant of f?
How many distinct real number zeros does f have?

Answers

The discriminant of the quadratic function f(x) = -4x^2 + 10x - 8 is -28. Since the discriminant is negative, there are no distinct real number zeros for this function.

Your question involves finding the discriminant of the quadratic function f(x) = -4x2 + 10x - 8 and determining how many distinct real number zeros it has. The discriminant of a quadratic equation in the form ax2 + bx + c is given by b2 - 4ac. In your case, a = -4, b = 10, and c = -8. Let's calculate the discriminant:

b2 - 4ac = (10)2 - 4(-4)(-8)

b2 - 4ac = 100 - 128

b2 - 4ac = -28

Since the discriminant is negative (b2 - 4ac < 0), the quadratic function f(x) has no real number of zeros. Therefore, the graph of the function does not cross the x-axis, and there are no distinct real roots.

Graph a line that contains the point ( 3 , -6) and has a slope of 1/2

Answers

1/2x - 7.5Step-by-step explanation:The image below shows proof that the equation y = 1/2x - 7.5

Step-by-step explanation:

The equation of the line contains the point ( 3 , -6) graph is shown below.

Since the point (3, -6) lies on the line, we can use the point-slope form of linear equations to find the equation of the line, which is:

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

where [tex](x_1, y_1)[/tex]  is the point on the line and m is the slope of the line.

Substituting in (3, -6) and m = 1/2, we get:

y - (-6) = 1/2(x - 3)

y + 6 = 1/2x - 3/2

y = 1/2x - 3/2 - 6

y = 1/2x - 9/2

To graph the line, we can start by plotting the point (3, -6). Then, we can use the slope to find another point on the line.

Since the slope is 1/2, it means that for every 1 unit we move up, we must also move 2 units to the right.

Therefore, we can move 2 units to the right and 1 unit up from (3, -6) to find the point (5, -5). We can then plot this point and connect the two points with a line.

Here is a graph of the line that contains the point (3, -6) and has a slope of 1/2:

The graph shows that the line passes through the point (3, -6) and has a positive slope.

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Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D. If he picks two at random, what is the probability that he picks A first and B second?

A) 1/24 B) 1/6 C) ½ D) 1/12

Answers

Answer:

D

Step-by-step explanation:

Given:

Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.

To find: probability that he picks A first and B second if he picks two at random

Solution:

Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]

Favourable outcomes are ABCD, ABDC

Number of favourable outcomes = 2

probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]

Find the shaded area.

Answers

Answer:

13.73

Step-by-step explanation:

Answer: 13.7345175425633 square feet

The rounding instructions are cut off, so it's not clear how you want to round this.

========================================================

Explanation:

The area of the square is 8*8 = 64 square feet.

The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.

The shaded area is the result of taking the circle area away from the larger square area

shaded area = (area of large square) - (area of two semicircles)

shaded area = (area of large square) - (area of circle with radius 4)

shaded area = 64 - 16pi = exact value

shaded area = 13.7345175425633 = approximate value

2(-6n+5)=4n+2(1-6n)
I need the answer​

Answers

Answer:

n = 2

Step-by-step explanation:

2 (-6n + 5) = 4n + 2(1 - 6n)-12n + 10 = 4n + 2 - 12n4n = 8n = 2

PLEASE ANSWER RN!! Which statement can be represented by the equation Two-fifths x + 9 = 9? Two-fifths of nine is a number. Two-fifths of a number is nine. Nine more than two-fifths of a number is nine. A number plus nine is the same as two-fifths of nine.

Answers

Answer:

Step-by-step explanation:

(2/5)x + 9 = 9 is equivalent to (2/5)x = 0

"Nine more than two-fifths of a number is nine" is correct.

Answer:

Nine more than two-fifths of a number is nine

Step-by-step explanation:

The math question is attached below.

Answers

Answer: 2700π

Step-by-step explanation: You've already answered part of the question. I used your info of the small circle(900π) and subtracted it from the big circle(3600π) and got 2700π

Subtract the following polynomials.

(5x2+6)−(6x−5x2)

im bad at math ;-;

Answers

Answer:

First off if you want this answered make sure it's clear when your multiplying or using X

(5x^2+6)-(6x-5x^2)

5x^2 -- 5x^2 = 10x^2

10x^2 -6x + 6

A stained glass window has an area of 900 square inches.
a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window?

b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?

Answers

Answer:

a. 60

b. 25

Step-by-step explanation:

Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.

The area A of the rectangular piece of length l and width w may be stated  as

A = l * w

Hence given  that

- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window

= 900/(3 * 5)

= 60

- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window

= 900/(6 * 6)

= 25

Answer:

a. 60 pieces

b. 25 pieces

Step-by-step explanation:

Hi, to answer this question we have to calculate the area of each rectangular stained glass.

Area = width x length

a.

5 x 3 = 15 square inches

Now we have to divide the area of the window by the area of each stained glass.

900/ 15 = 60 pieces

Same process for b

b.

6x6 = 36  square inches

900/36= 25  pieces

Feel free to ask for more if needed or if you did not understand something.

A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid. The cone has a height of 10 and a diameter of 6. Which expressions represent the volume of the composite figure (the shaded figure)? Check all that apply. (7)(12)(10) – π(32)(10) One-third(7)(12)(10) – One-thirdπ(32)(10) One-third(7)(12)(10) + One-thirdπ(32)(10) 280 – 30π 280 + 30π 840 – 90π

Answers

Answer:

the 2nd one and 4th one

Step-by-step explanation:

i just did it

The expressions for the volume of the composite pyramid figure is given by A = One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π

What is the volume of a pyramid?

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid.

The cone has a height of 10 and a diameter of 6.

The correct expression to represent the volume of the composite figure (the shaded figure) is:

One-third(7)(12)(10) - One-thirdπ(3)²(10) = 280 - 30π

So the expressions that apply are:

One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π

Hence , the volume of pyramid is 280 - 30π

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Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown.
Becker: 5,2,4,1,1,4,5,3,2,1
Kayla: 2,3,1,1,4,1,5,3,5,5
Based on the data, which estimate represents the mean number of games chess team members play per day?

Question 1 options:

1

3

4

10

Answers

The answer is 3 because the mean of the numbers on both of them are 3
Hope it helped:)
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Point O is the center of this circle. What is mA.) 56B.) 62C.) 72D.) 76 Which of the following is an example of Bolshevik land reform? The failed to deal with land reform, causing a civil war. They seized land from peasants who refused to grow grain. They ended private ownership of land and redistributed it to peasants. The ended private ownership of land and created government agencies to take it over. Research online about any neighborhood in Quito, Ecuador. Use the Internet to gather information about some of the local shops, stores that offer retail services, and public emergency services available in the neighborhood. In Spanish, describe each store and explain the services provided in the neighborhood. Sort the descriptions according to the whether each is a characteristic of a foreword or and introduction Explains importance Gives books backgroundIs done by another expert Is written by the author Is signed by its author Explains the books contents Read the following sentence and answer the question. Sara possesses all the qualifications required for the job. Which of the following verbals is used in the sentence above? present participle perfect participle past participle infinitive Why did many people object to that ruling? What are some of Romes long-standing problems that Augustus solved?_________________________________________________________________________________________________________Group of answer choicesHe gave them more food and stopped the army.He passed laws that restored order and he organized the army in such a way to prevent its posing any threat.He did not pass laws and did not organize an army.He collected taxes. How to write 0.038383838 in bar notation? Help. help and I gonna give prainliest What volume would 32.0 g of NO2 gas occupy at 3.12 atm and 18.0 Celsius Divide 6.35 1.57. Round the quotient to the nearest hundredth. Written, Inc. has outstanding 600,000 shares of $2 par common stock and 120,000 shares of no-par 6% preferred stock with a stated value of $5. Dividends have been paid in every year except the past two years and the current year. Assuming that $234,000 will be distributed, and the preferred stock is cumulative and participating, how much will the common stockholders receive La suma de un nmero natural y el siguiente es 13. Averigua mentalmente cules son estos nmeros. Despus plantea una ecuacin y resuelve con ella el problema planteado Find the product of 5jk(k 2j) You hear: Es urgente que (beep) al mdico.You see: vas / vayasYou select: vayas because the sentence is Es urgente que vayas al mdico. 1. tomamos tomemos2. conduzcan conducen3. aprenda aprende4. arreglas arregles5. se acuestan se acuesten6. sabes sepas7. almorcemos almorzamos8. se mude se muda A faucet drips 23 gallon of water in 10 hours.Which rate is the unit rate of water dripped per day who were the black panther party why was Germany able to invade Poland You want to have $1,200,000 when you retire and you are in a defined contribution plan. You can earn 9 percent per year on the money invested and you will retire in 25 years. Your employer also contributes to your plan. The employer will contribute 4 percent of what you put into the plan each year. How much do you have to contribute per year to meet your goal John is heading to his football game today . What should he wear and do so that he is safe while playing ? Steam Workshop Downloader