Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.

Answers

Answer 1

Complete Question

Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A line can be produced indefinitely on both sides.

(iv) If two circles are equal, then their radii are equal.

(v) if AB=PQ and PQ=XY, then AB=XY.

A (i),(ii) - True

  (iii),(iv),(v)-False

B(i),(ii),(iii) -True

  (iv),(v)-False

C   (i),(ii) -False

     (iii),(iv),(v)-True

D  (i),(ii),(iii) -False

    (iv),(v)-True

Answer:

The  correct option is  C

Step-by-step explanation:

    i is false because several lines can pass through a single point

    ii is false because only one line can pass through two distinct points

    iii is true because you can extend a line from both points (start and  end points )

      iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal

       v is true because from Euclid's First Axiom , if a=  c and c =  d  the  a =  d

     

     


Related Questions

A new computer is on sale for 1/5
off the original price. If the original price of the computer is $1495, what is the
sale price?
$1794
$1196
$1288
$299

Answers

Answer: $299

Step-by-step explanation:

divide the original price by 5

Sale price of the computer is equals to $299.

What is sale price?

" Sale price is defined as the discounted price at which goods are sold."

According to the question,

Original price of the computer = $1495

Price decided on sale of a computer = [tex](\frac{1}{5})[/tex] Original price of the computer

Substitute the value to get the sale price of a computer we get,

Sale price of a computer = [tex]\frac{1}{5} (1495)[/tex]

                                          = $299

Hence, sale price of the computer is equals to $299.

Learn more about sale price here

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what is 100000x 0

asdfssfddkddnssnbsbdbbdbbdbdbbdbbdbdbbbdvvddbdd. dbdbddbdbbbdbbd​

Answers

Anything multipled by 0 will always equal 0

what is b in this equation

b÷4+16=48

Answers

Answer:

b=128

Step-by-step explanation:

b÷4+16=48 isolate b

b÷4= 32

b= 128

Answer:

b=128

Step-by-step explanation:

rewrite

1/4b + 16 = 48

multiply both sides by 4

b + 64 = 192

move constant to the right and change he sign

b = 192-64

subtract

b = 128

Question 1 of 5
Select the correct answer.
Function k is a transformation of the parent exponential function f. What are the domain and range of function ?
kid) = -2
Domain: {5 € R1-00 Range: {y E RI y <0}
Domain: {r €R! - Range: {y < R.y=}
Domain: {5 € R1-00 <= coo}
Range: {y e RI- Domain: {i e RI-00 < Range: {y € R. y > }
Submit

Answers

Answer:

It's all in the picture. good luck :)

Step-by-step explanation:

Domain : R

Range :   ( - ∞, 0)

(Refer the image attached for complete question)

We have the following function -

k(x) = [tex]-2^{x}[/tex]

We have to determine its domain and range.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

According to question, we have -

k(x) = [tex]-2^{x}[/tex]

for x = 0, the function k(0) = 1

The function k(x) has the exponential function ([tex]e^{x}[/tex]) as its parent function.

If we plot the graph of the function k(x), it will look like as shown in the figure attached.

The graph of the function k(x) =  [tex]-2^{x}[/tex] is the reflection of the graph [tex]2^{x}[/tex] along x - axis.

The Domain of the function k(x) : R

The Range of the function k(x) : ( - ∞, 0)

To solve more questions on Domain and Range , visit the link below -

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I need help on this question 133^4/133^1

Answers

Answer:

[tex]133^3[/tex] (or 2352637)

Step-by-step explanation:

[tex]\frac{133^4}{133^1}=133^{4-1}=133^3[/tex] (or 2352637 for exact value)

(2/3)^3(1/5•2/3)^-3(1/5)^4

PLS HELP

Answers

Answer:

1/5

Step-by-step explanation:

You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.

Which choice correctly expresses the number below in scientific notation?

Answers

Answer:

I think 2nd option is correct

the answer is D because there is seven zeros

You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation

Answers

Answer:

It will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.

Step-by-step explanation:

From the question,

The total cost of the vacation is 1200.0 dollars, that is $1200.0

Also, you earn $16.50/hour but you only work for 4 hours each day.

First, we will determine how much you earn in a day.

If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is

$16.50/hour × 4 hour

= $66.00

Hence, you earn $66.00 dollars each day.

Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be

The cost of the vacation divided by the amount earned each day

Cost of the vacation = $1200.0

Amount earned each day = $ 66.00

Hence, the number of days it will take for you to earn enough money to pay for your vacation is

$1200.0 / $66.00

= [tex]18\frac{2}{11} days[/tex] or 18.18 days

Hence, it will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.

solve integers -32+ 10

Answers

Answer:

-22

Step-by-step explanation:

You have to add -32+10

and you will get the answer -22

Answer:

-22

Step-by-step explanation:

On a number line, negative numbers go left and posative numbers go right. So on a numberline, if you find -32 and jump ten spaces to the right, you land on -22

Find the perimeter of the square in the coordinate plane below. Round your answer to two decimal places.

Answers

Answer:

11.31 units

Step-by-step explanation:

Find the distance of line segments AB, BC, CD, AD using the distance formula.

You are part of a construction company that is supposed to build houses. An architect has left you plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 30 houses. Island A and Island C have a total of 40 houses. Island B and Island C have a total of 36 houses. A total of 53 houses is to be built on the three islands. Determine how many houses are to be built on each island. Show how to represent the problem in each of the following ways and solve them. (This is the verbal description, use sentences to explain) I. Concrete or pictoral representation II. Graph III. Algebraic Formula IV. Table

Answers

Answer:

Island A=17 house

Island B= 13 house

Island C=23 house

Step-by-step explanation:

Island AB=30 house

Island AC=40 house

Island BC=36 house

Island ABC=53 house

53 - 30= 23 house which is the total of house on island c

53-40=13 house which is the Total of house on island b

53-36=17 house which is the Total of house on island A

1. Given a right triangle the first angle is ten degrees more than three times the degree measure of the second angle and the third angle is the right angle. What is the angle measurement of the first angle? Doint)​

Answers

Answer:

The first angle is [tex]70^{o}[/tex].

Step-by-step explanation:

Let the measure of the second angle be represented by [tex]x^{o}[/tex].

Thus, the first angle = [tex](3x+10)^{o}[/tex]

Third angle = [tex]90^{o}[/tex]

Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]

[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]

[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]

divide both sides by 4 to have;

[tex]x^{o}[/tex] = [tex]20^{o}[/tex]

The first angle = [tex](3x+10)^{o}[/tex]

                        = ( 3 x 20 + 10)

                        = 60 + 10

                        = [tex]70^{o}[/tex]

Therefore, the first angle is [tex]70^{o}[/tex].

Help pls I will mark you brainliest

Answers

Answer:

no#2

Step-by-step explanation:

Find the area of a semicircle with a radius of 3 inches.

Answers

The area of the semicircle is 14.1372

Answer:

Area of a CIRCLE with radius of 3 inches is

PI * radius^2 =

3.14159265 * 3^2 =

28.27433385  square inches.  

Since we are dealing with a SEMI-CIRCLE, we divide that by 2 and get:

14.137166925  square inches which rounds to about

14.14 square inches

Step-by-step explanation:

13. A jeweller bought an engagement ring for €1200 and
sold it at a profit of 15%.
Find the sale price of the ring.​

Answers

Answer:

CP of ring = 1200

profit % = 15%

Profit amount = 15% 0f 1200 = 180

SP = 1200 + 180 = 1380

Answer:

€ 1380

Step-by-step explanation:

The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,

[tex] = \frac{15}{100} \times 1200 \\ = 180[/tex]

he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).

So, the selling price (the new price of the ring) would be:

= Original price + profit

= €1200 + €180

= €1380

The graph of a function must be linear if it has what characteristic?
It passes through the origin. It crosses the x-axis more than once.
It crosses the y-axis exactly once
It has a constant slope.

Answers

Answer:

  It has a constant slope.

Step-by-step explanation:

A linear function graphs as a straight line. It will have a constant rate of change.

It has a constant slope.

Answer:

D. It has a constant slope on Edg2020

Step-by-step explanation:

Hope this helps!!! Have a great day!!!

which of the numbers doesnot belong in the number series

1 – 2 – 5 – 10 – 13 – 26 – 29 – 48

is it

a. 1
b. 5
c.26
D.27
E. 48


Answers

Answer:

the sequence first numbe * 2, +3, *2

so 48 doesnot belong it should be 58

Step-by-step explanation:

reasoning can you name a real number that is represented by √-36? Explain

Answers

square root of - does not exist in the set of real numbers

Your question has been heard loud and clear

√-36 is by no means a real number. This is because square roots can only be positive in nature.  

Eg:  -2*-2 =  4      and 2*2 = 4   ,  so √4 =  -2 or 2   but √-4 doesnt exist.

So , √-36 also does not exist while √36 exists.

√-36 , we can however represent it as an imaginary number as 36i

Thank you

find the midpoint of the segment with the following endpoints (8,7) and (5,4)

Answers

The midpoint is (6.5, 5.5)
(X1-X2)/2 = 8-5/2 = 1.5

(Y1-Y2)/2 = 7-4/2 = 1.5

Now add (1.5,1.5) to (5,4) u get the mid point (6.5,5.5)

i’m not sure if this is right??

Answers

Answer:

I think its right

Step-by-step explanation:

thats what I got too

Complete the expressions to find the perimeter P of a rectangle that is 7 inches long by 5 inches wide.
P21+2
-2.7+
20
15

Answers

Answer:

[tex] P = 2*7 + 2*5 [/tex]

[tex] P = 14 + 10 [/tex]

[tex] P = 24 inches [/tex]

Step-by-step explanation:

Lenght (l) of rectangle = 7 inches

Width (w) of rectangle = 5 inches

Perimeter (P) of rectangle is given as [tex] P = 2l + 2w [/tex]

Plug in the values of l and w into the formula:

[tex] P = 2*7 + 2*5 [/tex]

Multiply each

[tex] P = 14 + 10 [/tex]

Add together

[tex] P = 24 inches [/tex]

What’s the area of the walk?

A circular flower bed is 21 m in diameter & has a circular sidewalk around it 2 m wide. (Use pi as needed in answer)

Answers

Hint: 21x3.14x2x1/2 hope this helps

7(-8)-2y=-52







help...

Answers

Answer:

y=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x - 2y = -52

7(-8) - 2y = -52

-56 - 2y = -52

-2y = 4

y = -2

Best of Luck!

Why do I keep getting the answer: 35 11/16
Or another answer of 38 ¾
depending on if I convert the mixed number to an improper fraction of not...
what am I doing wrong???

This is the word problem:
"To find the area of a square room, Gordon must square the length of one side. The length of one side of room A is 1 ¼ yards. The length of one side of room B is 6 yards. What is the area of both rooms together?"

The correct answer is 37 ⁹/16

I did the math, and wrote the expression as: (1 ¼)² + 6². but still getting it wrong.....

also should I always convert a mixed number before using it's exponent???

Answers

Answer:

see explanation

Step-by-step explanation:

The sum of the areas of the 2 rooms is

(1 [tex]\frac{1}{4}[/tex] )² + 6² ← change the mixed number to an improper fraction

= ([tex]\frac{5}{4}[/tex] )² + 6²

= [tex]\frac{25}{16}[/tex] + 36

= 1 [tex]\frac{9}{16}[/tex] + 36

= 37 [tex]\frac{9}{16}[/tex]

Can anyone help me with this?

Answers

Answer:

a

Step-by-step explanation:

Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot

Answers

Answer:

The box plot

Step-by-step explanation:

4. Lines 1 and 2 are parallel, and lines 3 and 4 are parallel.

Answers

Answer:

x=105

y=75

z=105

Step-by-step explanation:

Answer: x=105 y=75 z=105

What is 40% of 50,000

Answers

Step-by-step explanation:

this is your answer...........

Help please, will mark you as brainliest!!
Need help on both..

Answers

Answer:

the answer is c for the second one and the first one is A

Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards

Answers

Answer:

11

Step-by-step explanation:

you just divide it

Answer:

11

Step-by-step explanation:

I thought collage students could do simple division...

Lol

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