Assume that two chords in a given circle are congruent. Which of the following must also be true?

Answers

Answer 1

Answer:

If the two chords are congruent, then they must be equidistant from the centre of the circle. 

Ans: D

Answer 2

The diagram attached below shows that if two congruent chords are in a given circle, a statement that will be true is:

the two congruent chords must be equidistant from the center of the circle.

Facts about congruent chords in a given circle:

The diagram attached below shows two chords that have the same length in the given circle O.

The diagram shows that distance from the midpoint of one chord to the center of the circle, O, is the same as the distance from the middle of the other chord to center, O.

The diagram attached below therefore shows that if two congruent chords are in a given circle, a statement that will be true is:

the two congruent chords must be equidistant from the center of the circle.

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Assume That Two Chords In A Given Circle Are Congruent. Which Of The Following Must Also Be True?

Related Questions

Which of the following is true about the expression radical 3 times radical 12



Answers

There is nothing here, but I do know that the answer is 6⃣.

Answer:

It represents the product of two irrational numbers and is equivalent to a rational number.

After selling some lemonade and cookies, Vivian and her brother Gil had 7-one dollar bills, 8 quarters and 6 dimes.They agreed to divide the money equally. What is the total amount of money that Vivian and Gil earned? Explain.

Answers

Answer:

They earned $9.60 they will each get $4.80. Give or take.

Step-by-step explanation:

9.60÷2=4.80

What is the measure of the missing angle?
60°
80°
100
180°

Answers

80. this is bc the triangle must add up to 180 and 60+40=100

Answer: 80

Step-by-step explanation:

What is 40.99 times 2.1

Answers

Answer:

86.079

Step-by-step explanation:

40.99*2.1

The Answer Is 86.079.

10011 lower 2 x 11 lower 2 ?

Answers

ANSWER

[tex] 10011_{2} \times 11_{2}= 111001_{2}[/tex]

EXPLANATION

We want to multiply:

[tex] 10011_{2} \times 11_{2}[/tex]

in base 2

One can choose to convert everything to base 10

This gives 19×3=57

We then convert 57 to base two to get

[tex]57 = 111001_{2}[/tex]

Or perform the multiplication in base 2 straight forward.

10011

× 11

10011

+10011

111001

------------

[tex]10011_{2} \times 11_{2} = 111001_{2}[/tex]

If DEF is similar to PRY, what is the measure of PY?

Answers

9 ÷ 6 = 1.5

12 ÷ 8 = 1.5

therefor 1.5 is the scale factor.

which means that 16 × 1.5 would give you your answer of 24.


if you have any questions just ask :)

The measure of PY is 24 centimeters, found using the properties of similar triangles and the correct option is C.

To solve this problem, we can use the following steps:

Identify the corresponding sides of the two similar triangles.

Write down the proportion for the corresponding sides of the two triangles.

Cross-multiply to solve for the unknown side.

In this case, the corresponding sides of the two triangles are:

AD = AP

DE = PR

EF = RY

We can write down the following proportion:

AD/DE = AP/PR

We know that AD = 6 cm and AP = 16 cm. We also know that PR = 8 cm. We can substitute these values into the proportion and solve for DE:

6/DE = 16/8

DE = 6 * 8 / 16

DE = 3 cm

Now that we know the length of DE, we can use the following proportion to solve for PY:

DE/EF = PR/PY

3/9 = 8/PY

PY = 8 * 9 / 3

PY = 24 cm

Therefore, the measure of PY is 24 centimeters.
So, the correct option is C.

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Can you help me please

Answers

The answer to this question is 10. The working out is shown in the image attached.

*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct

or another way to solve this is....

we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB

Hope this helped

The area of a rectangle is x^2-5x+6 Which of the following could be one of the dimensions?
A)(x + 3)
B)(x - 2)
C)(x - 1)
D)(x + 6)

Answers

Answer:

B)(x - 2)

Step-by-step explanation:

Given that the area of a rectangle is [tex]x^2-5x+6[/tex].

Now we need to find about which of the given choices could be one of the dimensions. Where given choices are:

A)(x + 3)

B)(x - 2)

C)(x - 1)

D)(x + 6)

We know that area of rectangle = (length) x (width)

So basically we need to factor the given area of rectangle to find the corresponding dimensions.

[tex]x^2-5x+6[/tex]

[tex]=x^2-2x-3x+6[/tex]

[tex]=(x-2)(x-3)[/tex]

Hence B)(x - 2) is the correct choice.

Answer:

x-2

Step-by-step explanation:

Write an equation of the direct variation that includes the point (5,1)

Answers

Answer:

y = 1/5k

Step-by-step explanation:

y = kx

1= k(5)

1/5 = l

If you put $2,000 into an interest bearing account, where interest is compounded quarterly (4 times a year) at 6%, how long will it take for your money to triple?

Answers

Answer:

[tex]18.4\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=?\ years\\ P=\$2,000\\ r=0.06\\n=4\\A=\$6,000[/tex]  

substitute in the formula above  

[tex]\$6,000=\$2,000(1+\frac{0.06}{4})^{4t}[/tex]  

[tex]3=(1.015)^{4t}[/tex]  

Applying log both sides

[tex]log(3)=4tlog(1.015)[/tex]  

[tex]t=log(3)/[4log(1.015)][/tex]  

[tex]t=18.4\ years[/tex]  

Which reaction takes place in a nuclear fission reactor?

Image below

Answers

Answer:

The reaction that takes place in a nuclear fission reactor is answer D.

Step-by-step explanation:

Nuclear fission reactions involves the process by which large atomic nuclei are bombarded with energetic particles and release of an enormous amount of nuclear energy, which  mainly ends up as heat energy.

So now, consider the nuclear reaction from D, after the uranium nucleus absorbs the neutron its split into two smaller nuclei (often radioactive themselves), Krypton and Barium and releases more neutrons (or energy).

If the perimeter of a square garden is 84 ft, what is the area of the garden?

Answers

Answer:

Step-by-step explanation:

7056

a 7cm × 5cm rectangle sits inside a circle with radius 6cm. what is the area of the shaded region​

Answers

Answer:

The area of the shaded region is [tex](36\pi-35)\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the rectangle

so

[tex]A=\pi r^{2}-a*b[/tex]

we have

[tex]a=7\ cm[/tex]

[tex]b=5\ cm[/tex]

[tex]r=6\ cm[/tex]

substitute the values

[tex]A=\pi (6)^{2}-(7)*(5)[/tex]

[tex]A=(36\pi-35)\ cm^{2}[/tex]

Answer:

78.1

Step-by-step explanation:

Help on this question

Answers

The answer is the third one

The answer is C it’s pretty easy

Parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2), respectively. The diagonals, CR and AD intersect at Point T. What is the length of CT? What is the length of DT?

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. If necessary, round lengths to the nearest hundredth of a unit.

Answers

Answer:

a) T(3,0)

b) |CT|=2.83

c) |DT|=4.47

Step-by-step explanation:

The given parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2)

The diagonals of a parallelogram bisect each other.

Find the midpoint of one diagonal, that gives us the point of intersection of the diagonals T.

The midpoint of C(5,-2) and (1,2) is

[tex]T(\frac{5+1}{2},\frac{-2+2}{2}  )[/tex]

[tex]T(3,0)[/tex]

b) To find the length of CT, we use the distance formula; where C(5,-2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-5)^2+(-2-0)^2}[/tex]

[tex]d=\sqrt{4+4}[/tex]

[tex]d=\sqrt{8}[/tex]

[tex]d=2\sqrt{2}=2.83[/tex]

The length of CT is 2.83 to the nearest hundredth

c) To find the length of DT, we use the distance formula; where D(7,2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-7)^2+(2-0)^2}[/tex]

[tex]d=\sqrt{16+4}[/tex]

[tex]d=\sqrt{20}[/tex]

[tex]d=2\sqrt{5}=4.47[/tex]

The length of DT is 4.47 to the nearest hundredth

The equation 2x = 3y - 5 when written in slope-intercept form is:

Answers

Answer:

y=2/3x+5/3

Step-by-step explanation:

The equation written in slope intercept form will be y = (2/3)x + 5/3.

What is the slope intercept form?

When you know the slope of the line (m) to be investigated and the point of y-intercept (0,c) is also given, you utilize the slope intercept formula.

Slope intercept formula:

y = mx + c

m is the slope

c is the y intercept

Given equation in the question is

2x = 3y - 5

3y = 2x + 5

y = (2/3)x + (5/3)

Now if we compare this equation to slope intercept form we will get m = 2/3 and c = 5/3.

Hence the slope intercept form of the equation is y = (2/3)x + (5/3).

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Which is the equation in slope intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7?

A y= 3x + 12
B y= 1/3x y = 4
C y= -3x -6
D y= -1/3x + 3

Answers

The equation of the line parallel to 3x + y = 7 and passing through (-3,3) is y = -3x + 12 (Option A) because parallel lines have identical slopes and using the point-slope formula provides us with the y-intercept.

To find the equation of a line parallel to 3x + y = 7 and passing through the point (-3,3), we need two pieces of information:

The slope of the parallel line

The coordinates of a point it passes through

First, let's rewrite the given equation in slope-intercept form to find the slope. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = -3x + 7

So, the slope m is -3. Because parallel lines have the same slope, our new line will also have a slope of -3.
Using the slope (-3) and the given point (-3,3), we apply the point-slope formula:

y - y1 = m(x - x1)

y - 3 = -3(x - (-3))

y - 3 = -3x - 9

y = -3x + 12

Thus, the equation in slope-intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7 is y = -3x + 12 which corresponds to Option A.

express 0.009238 to 3 significant figures​

Answers

The number 0.009238 is expressed correctly to 3 significant figures as 0.00924

To express 0.009238 to 3 significant figures, we need to consider the first three non-zero digits from the left.

Identify the first three non-zero digits from the left: 9, 2, and 3.

Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the last significant figure.

Therefore, the number rounded to 3 significant figures is 0.00924.

The complete question is : express 0.009238 to 3 significant figures​

Please help me with the first one

Answers

Answer:

5:3

Step-by-step explanation:

it would be 5:3 because it is the ratio of consonant to vowels

How much ice cream can fit in a chocolate cone with a height of 7 inches and a diameter of 4 inches?

87.92in^3 or 29.3in^3

Answers

Answer:

29.3 in³

Step-by-step explanation:

1. Volume of cone: V = ¹/₃ * πr²h

2. Find r: r = d/2 = 4/2 = 2 in

3. Plug in: V = ¹/₃ * π(2)²*7

4. Powers: V = ¹/₃ * π * 4 * 7

5. Multiply: V = ²⁸/₃π in³ ≈ 29.3 in³ (excluding outside of the cone)

Final answer:

Approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

Explanation:

To find the amount of ice cream that can fit in a chocolate cone, we need to calculate the volume of the cone. The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius (half the diameter) of the base of the cone and h is the height of the cone. In this case, the diameter is 4 inches, so the radius is 2 inches. The height of the cone is 7 inches. Plugging these values into the formula, we get V = (1/3)π(2^2)(7) = (4/3)π(7) = 28/3π ≈ 29.3 cubic inches. Therefore, approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

Elvaluate b^-3 for b=3
A. 27
B. 1/9
C. 1/27
D. -27

Answers

Answer:

C

Step-by-step explanation:

Using the rule of exponents

• [tex]b^{-m}[/tex] ⇔ [tex]\frac{1}{b^{m} }[/tex], thus

[tex]3^{-3}[/tex] = [tex]\frac{1}{3^{3} }[/tex] = [tex]\frac{1}{27}[/tex] → C

Answer: C 1/27

b^-3 and b=3

So we have 1/b^3= 1/3^3= 1/27

8 + 4 - 3 using pemdas

Answers

Answer:

You can alternatively apply PEMDAS as schools do today: Simplify everything inside the parentheses first, then exponents, then all multiplication and division from left to right in the order both operations appear, then all addition and subtraction from left to right in the order both operations appear.

Step-by-step explanation:

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

so 8+4 =12 12-3=9

the correct answer would be 9

Which triangle always has 1 right angle and 2 sides the same length?
a. acute isosceles
B. right isosceles
c. right equilateral
D. acute scalene

Answers

Answer:

The Answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isosceles tells you that two sides of a triangle (in this case) are equal. The two non hypotenuse sides are both the same size. Each of the angles opposite the equal sides are equal and are 45o.

A right angle takes up the other 90o.

11/33 in lowest terms

Answers

Answer:

1/3

Step-by-step explanation:

Both 11 and 33 are divisible by 11

11/11 =1

33/11 =3

11/33 = 1/3

The answer is 1/3. I hope this helps!

the median of the data set is 18 what number is missing 12,17,21,13,25

Answers

Answer:

19

Step-by-step explanation:

23. How many solutions are there to the system of equations below?

y = x2 + 3x – 7
y – 5x + 8 = 0

A. There are exactly 4 solutions
B. There are exactly 2 solutions
C. There is exactly 1 solution
D. There are no solutions.

Answers

D

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Answer:

There are exactly 4 solutions

Step-by-step explanation

Given the two equation

y = x² + 3x – 7 ... (1)

y – 5x + 8 = 0 ...(2)

From equation 2,

y - 5x = -8

y = -8+5x ...(3)

Substituting equation 3 into 1

-8+5x = x²+3x-7

Moving -8+5x to the other side of the equation, we have:

x²+3x-7+8-5x = 0

x²+3x-8x-7+8= 0

x²-5x+1 = 0

Since the resulting equation is quadratic, we will get two solutions as our x and substituting both value of x in equation 2 to get y will give us two solutions for our y variable making a total of 4 solutions.

Therefore in the system of equation given, there are exactly 4 solutions

Please help!!! Is this correct????

Answers

Answer:

yes

Step-by-step explanation:

Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.

what is the unit rate for the cost of a salad at the salad bar?

Answers

Answer:

C.) $2.00 per pound

Hope This Helps!   Have A Nice Day!

$2.00 per pound, the answer would be letter C

Which time is faster 2/3, 11/12, 5/6 or 7/12

Answers

Answer:

Correct choice is 11/12.

Step-by-step explanation:

Given numbers are 2/3, 11/12, 5/6 and 7/12.

Now we need to find about which time is faster among 2/3, 11/12, 5/6 and 7/12.

To find that we need to make denominators equal.

2/3, 11/12, 5/6, 7/12

Common denominator is 12 so let's multiply by suitable numbers to get equal denominator.

8/12, 11/12, 10/12, 7/12

Now we see that largest numerator is 11.

Hence correct choice is 11/12.

Answer:

11/12 is the answer

Step-by-step explanation:

Find the volume of the cylinder.
Either enter an exact answer in terms π or use 3.14 for π

Answers

Answer:

160π units³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the base radius and h the height )

here r = 4 and h = 10, thus

V = π × 4² × 10 = 160π units³ ← exact value

Other Questions
PLEASE HELP ME!! ASAP!Literary Analysis: ThoreauRead the excerpt below from Walden, by Henry David Thoreau. Consider how the author's use of language, including figurative language, reveals tone in the text.Write a well-developed essay that analyzes the attitude of the narrator in the passage. Include specific details from the text to support your analysis.from Walden by Henry David ThoreauI went to the woods because I wished to live deliberately, to front only the essential facts of life, and see if I could not learn what it had to teach, and not, when I came to die, discover that I had not lived. I did not wish to live what was not life, living is so dear; nor did I wish to practise resignation, unless it was quite necessary. I wanted to live deep and suck out all the marrow of life, to live so sturdily and Spartan-like as to put to rout all that was not life, to cut a broad swath and shave close, to drive life into a corner, and reduce it to its lowest terms, and, if it proved to be mean, why then to get the whole and genuine meanness of it, and publish its meanness to the world; or if it were sublime, to know it by experience, and be able to give a true account of it in my next excursion. For most men, it appears to me, are in a strange uncertainty about it, whether it is of the devil or of God, and have somewhat hastily concluded that it is the chief end of man here to glorify God and enjoy him forever.Still we live meanly, like ants; though the fable tells us that we were long ago changed into men; like pygmies we fight with cranes; it is error upon error, and clout upon clout, and our best virtue has for its occasion a superfluous and evitable wretchedness. Our life is frittered away by detail. An honest man has hardly need to count more than his ten fingers, or in extreme cases he may add his ten toes, and lump the rest. Simplicity, simplicity, simplicity! I say, let your affairs be as two or three, and not a hundred or a thousand; instead of a million count half a dozen, and keep your accounts on your thumb-nail. In the midst of this chopping sea of civilized life, such are the clouds and storms and quicksands and thousand-and-one items to be allowed for, that a man has to live, if he would not founder and go to the bottom and not make his port at all, by dead reckoning, and he must be a great calculator indeed who succeeds. Simplify, simplify. Instead of three meals a day, if it be necessary eat but one; instead of a hundred dishes, five; and reduce other things in proportion. Our life is like a German Confederacy, made up of petty states, with its boundary forever fluctuating, so that even a German cannot tell you how it is bounded at any moment. The nation itself, with all its so-called internal improvements, which, by the way are all external and superficial, is just such an unwieldy and overgrown establishment, cluttered with furniture and tripped up by its own traps, ruined by luxury and heedless expense, by want of calculation and a worthy aim, as the million households in the land; and the only cure for it, as for them, is in a rigid economy, a stern and more than Spartan simplicity of life and elevation of purpose. It lives too fast. Men think that it is essential that the Nation have commerce, and export ice, and talk through a telegraph, and ride thirty miles an hour, without a doubt, whether they do or not; but whether we should live like baboons or like men, is a little uncertain. If we do not get out sleepers, and forge rails, and devote days and nights to the work, but go to tinkering upon our lives to improve them, who will build railroads? And if railroads are not built, how shall we get to heaven in season? But if we stay at home and mind our business, who will want railroads? We do not ride on the railroad; it rides upon us. Did you ever think what those sleepers are that underlie the railroad? Each one is a man, an Irishman, or a Yankee man. The rails are laid on them, and they are covered with sand, and the cars run smoothly over them. They are sound sleepers, I assure you. And every few years a new lot is laid down and run over; so that, if some have the pleasure of riding on a rail, others have the misfortune to be ridden upon. And when they run over a man that is walking in his sleep, a supernumerary sleeper in the wrong position, and wake him up, they suddenly stop the cars, and make a hue and cry about it, as if this were an exception. I am glad to know that it takes a gang of men for every five miles to keep the sleepers down and level in their beds as it is, for this is a sign that they may sometime get up again. Divide 15x15 by 3x3. Freedom of the press is most important with regards to political elections for which of the following reasons?A. If news outlets cannot publish whatever they would like, the quality of civil discourse will fall.B. If news outlets are censored during the political process, citizens will be less accurately informed of the issues at hand.C. All of theseD. Citizens must have the media to inform them of their own best interests Which one is it??? What is the first step when solving present or loan amortizations using a formula? An Isosceles triangle has single measures 55,55,and 70. The side across from the 70 angle is 10 inches long. How long are the other sides? Which structure carries blood to the lungs, where the blood acquires oxygen? 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One bank is a National Bank and one bank is a Federal Savings Association. Both banks are federally chartered, but one is regulated by the FED and the other is regulated by the FDIC. One bank is federally chartered and one bank is state-chartered. Which category do both shapes belong to?A.squareB.parallelogramC.rectangleD.rhombus What is the common ratio for this geometric sequence?4, 24, 144, 864, ...