In the figure below, a tangent and a secant are drawn to a circle from exterior point E.
Suppose that EG = 13 and ED=26. Find CD.

In The Figure Below, A Tangent And A Secant Are Drawn To A Circle From Exterior Point E.Suppose That

Answers

Answer 1

Answer:

 19.5 = CD

Step-by-step explanation:

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Now ED = EC + CD

        26 = 6.5 + CD

         19.5 = CD

Answer 2

The value of the segment CD will be equal to 19.5.

What is secant and tangent?

The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.

The value of the segment CD will be calculated as below:-

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Calculate CD.

ED = EC + CD

26 = 6.5 + CD

19.5 = CD

Therefore, the value of the segment CD will be equal to 19.5.

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Related Questions

8:07, 8:58, ?, 10:43, 11:37

9:51
9:50
9:53
9:49

Answers

Answer:

9:50

Step-by-step explanation:

because, 8:07 ->8:58 +51

...+52

...+53

A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.

The term that completes the sequence is (d) 9:49

The sequence is given as:

8:07, 8:58, ?, 10:43, 11:37

The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:

d = 8:58 - 8:07

This gives

d = 51 seconds

The missing term (which is the third term) is then calculated using:

T3 = 8:58 + 51 seconds

This gives

T3 = 9:49

Hence, the term that completes the sequence is (d) 9:49

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Evaluate the following expression 6⋅2+6^4 khan academy

Answers

Answer:

6.2+6^4

6.2+1.296

7.496

Laura is going to invest in a business. There is a 50% chance that she will make $8000, a 40% chance that she will lose $4000, and a 10% chance that she will break even (make $0). What is the expected value for Laura's investment?

Answers

Based on the various probabilities of outcomes, the expected value of the investment is $2,400

The expected value can be calculated as:

= ∑ (Probability of event happening x Payoff if event happens)

The expected value here is therefore:

= (50% x 8,000) + (40% x -4,000) + (10% x 0)

= $2,400

In conclusion, the expected value is $2,400.

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I'll mark you brainlest if you answer this correctly please help

Answers

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2x − 4y = -4 , 3x + 2y = 22 solve the system by elimination.

Answers

Answer: 5, 7/2

Step-by-step explanation:

2x − 4y = -4

3x + 2y = 22

divide both sides of the equation by 2

 x − 2y = -2

3x + 2y = 22

Eliminate one variable by adding the equation;  sum the equations vertically to eliminate at least one variable

4x=20

Divides both sides by 4

x=5

Substitute  the given value of x into the equation 2x-4y = -4

2*5-4y =-4

solve the equation for y

y=7/2

3y=6
Find the slope of the line described by each equation

Answers

Not sure of this answer
But I think the slope is 0
Please correct me if I’m wrong.

a farm is sold for $457000, which gives a profit of 19%. Find the profit
The answer sheet says it is $73,000

Answers

Answer: its 73,000

Step-by-step explanation: the answer sheet has the answers...

Solve: 2sec(x) 5 = 9 Which equation is equivalent to the given equation?.

Answers

Answer

9=5 equivalent

Step-by-step explanation:

Answer:

A. cos(x) = 1/2

Step-by-step explanation:

2sec(x) = 9-5 = 4

sec(x) = 4/2 = 2

1/cos(x) = 2

cos(x) = 1/2

What is the domain of f(x) = (x + 2)2 – 1?

Answers

Simplify

[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]

The Domain is set of all real numbers

[tex]\\ \tt\Rrightarrow Domain\in R[/tex]

Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.​

Answers

perimeter = 2base + 2base
82 - 2(32) = 18 : 2 = 9
area = 9*32 = 288mm^2

Hey there! I attached a pic of how to solve this. Hope it helps!

can someone please help me i need to show the working out too

Answers

Answer:

(1) x=15/2

(2) x=1

Step-by-step explanation:

(1) 4x−1 /2 =x+7

2x+ −1 /2 =x+7(Distribute)

2x+ −1 /2 =x+7

Step 2: Subtract x from both sides.

2x+ −1 /2 −x=x+7−x

x+ −1 /2 =7

Step 3: Add 1/2 to both sides.

x+ −1 /2 + 1 /2 =7+ 1 /2

x= 15 /2

(2) 3x+2=( 2x+13)/ 3

3x+2= 2 /3 x+ 13 /3  (Distribute)

3x+2= 2 /3 x+ 13 /3

Step 2: Subtract 2/3x from both sides.

3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x

7 /3 x+2= 13 /3

Step 3: Subtract 2 from both sides.

7 /3 x+2−2= 13 /3 −2

7 /3 x= 7 /3

Step 4: Multiply both sides by 3/7.

( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )

X=1

Can someone please answer this no bots answer this please… I’ll give you brainliest

Answers

Answer:

Part one:

Y=13.5x+1

Part two:

Y=12x+40

Part three:

After 15 seconds Sam: 203.5ft Alice:220ft

Alice won

Step-by-step explanation:

PLZ HELPPP

Use the distributive property to fill in the blanks below. ​

Answers

Answer:

4 - 3

Step-by-step explanation:

fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D

Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true

Answers

Answer:

a = 3

Step-by-step explanation:

Since x = 7 is a solution, substitute x = 7 into the equation and solve for a

4(7) - 2(7 + a) = 8 , that is

28 - 2(7 + a) = 8 ( subtract 28 from both sides )

- 2(7 + a) = - 20 ( divide both sides by - 2 )

7 + a = 10 ( subtract 7 from both sides )

a = 3

f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)


f(3)=f(3)=f, left parenthesis, 3, right parenthesis, equals

HURRY!!!!

Answers

f(3) = f(3-2) + f(3-1)
f(3) = f(1) + f(2)

then substitute using the values given so
f(3) = -6 + -4
so f(3) = -10

the value of function at n = 3 is  f( 3 ) is - 10.

To find the value of f( 3 ), we can use the given recursive formula:

f(n) = f( n - 2 ) + f( n - 1 )

We already have the values of f(1) and f(2):

f(1) = - 6

f(2) = - 4

Now, let's apply the recursive formula to find f(3):

f(3) = f( 3 - 2 ) + f( 3 - 1 )

f(3) = f(1) + f(2)

f(3) = - 6 + (- 4)

f(3) = - 10

So, the value of f(3) is - 10.

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13. If r + 9 = 42, does r +9-9=42 +9?
Why or why not?

Answers

Answer:

no

Step-by-step explanation:

if u subtract negative nine from one side of the equation, in order to keep both sides of the equation equal, you must subtract 9 from the other side. moreover, if you subtract nine from one side and add 9 to the other, there will be a 9+9=18 difference in values of both sides

brainliest pls thanks

The sum of two numbers is 25. One number is twice the seond number plus seven.
What are the two numbers?

Answers

19 and 6

because 6x2=12
12+7=19
19+6=25

A baseball team won about 62% of 162 games in a season.
About how many games did they win?

Answers

Answer:

the one about 100 games

Step-by-step explanation:

62 percent *162 =

(62:100)*162 =

(62*162):100 =

10044:100 = 100.44

this rounds to 100

Answer:

About 100 games

Step-by-step explanation:

162 * 0.62 = 100.4

100.4 rounded is 100

Help I’ll give brainliest

Answers

Answer:

Is it 95 If it is give me brainliess

Step-by-step explanation:

The answer is 95 I want it

Could someone answers these! I Really NEED HELP

Answers

Answer:

(3x + 5) (x - 3)

Step-by-step explanation:

This is the quadratic expression

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y = 5/4x

Step-by-step explanation:

To find the equation of the line, we'll have to find the slope only, since we already know that the equation is proportional and therefore has no y-intercept that we need to worry about.

So, to begin, we'll have to make a slope triangle using two of the points on the line - the points I chose are (0, 0) and (4, 5). Then, I drew a slope triangle - the change in y was 5, and the change in x was 4. To find the slope, we divide the change in y by the change in x, giving us a slope of 5/4. Because of this, our equation must be y = 5/4x.

Hopefully this is helpful! You can refer to the picture I attached if you would like to see how my slope triangle looks. :)

Answer:

Step-by-step explanation:

y = 15

x = 12

The y intercept is zero so the slope is simply

m = y /x

m = 15/12

m = 5/4

The equation is

y = 5/4

2

SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU!

Answers

Answer:1. (1,2)    2.(-1,0)

Step-by-step explanation:

1.  5x-4(-3x+5)=3  x=1             2. 3(2y-1)-2y=-3    y=0                                                  

y=-3x1+5    y=2 Plug them in                       X=2x0-1            x=-1       plug them in                

how many days would it take for a tiger to eat a boar

Answers

how many days would it take for a tiger to eat a boar?

Answer: Tigers belong to the taxonomic order Carnivora, which mean that their diet is composed mainly of meat. Like all animals, they are heterotrophic organisms, so they must meet their nutritional requirements from other living beings.

They look for both medium and large prey in the wild to feed on them. The animals they consume change according to the area where they live, as different species will be available in each region. They have no problem taking down animals larger than themselves including water buffaloes and bears.

These cats are powerful and efficient predators with an anatomy designed for hunting. They have two large canine teeth and other sharp-edged teeth to cut the skin, flesh, and bones of prey. These functional dental pieces are the last upper premolar and the lower first molar.

Like any carnivore, its clavicles are reduced or absent, while the scaphoid, central and lunar bones of the wrist fuse with the lunar-scapular bone. As Tigers digest meat quickly, they have a simple stomach and a short intestine.

Tiger feeding.
Young Moose, a common prey of the Siberian tiger.
The Panthera tigris diet includes a large diversity of animals that are typically medium to large usually weighing more than 200 pounds, and even dare to attack other predators and animals of considerably larger size than theirs. Small animals make up a tiny part of their usual diet.

Tigers can stay up to two weeks without food, but when they catch prey, they can eat 75 pounds of meat at once.



Suppose that 600 yards of fencing material are available to fence in

two adjacent rectangular corrals sharing a common fence. Find the

dimensions of the corrals that will enclose a maximum area (Please help)

Answers

Answer:

Length = 150 yards

Width = 100 yards

Step-by-step explanation:

We want 600 yards of fencing that will result in the largest 2 fenced corrals, sharing a common border.

It will take the shape of a rectangle, with a dividing fence down the center.

Let W and L,  Width and Length of the larger enclosure.

See attachment.

W= Area of the larger enclosure.

The perimeter is 2W + 2L.

The dividing fence is 1W

We know that we only have 600 yards of fence, so:

2W + 2L + 1W = 600 yards

Area = W x L

---

3W + 2L  = 600    (yards)

2L  = 600 -3W

L = (600-3W)/2

L = 300 -(3/2)W

---

Use this expression in the Area calculation:

Area = W x L

Area = W x (300 -(3/2)W)

Area = 300W -(3/2)W^2)

To find the maximum area, take the first derivative and set to zero to find the value of W that results in the greatest area.

Area' = 300 -2(3/2)W)

0 = 300 - 3W

3W = 300

W = 100 yards

Since 3W + 2L  = 600

L = (600 - 3W)/2

L = (600 - 3(100))/2

L = 150 yards

Area = 150*100 = 15,000 yards^2

 

GIVING BRAINLIEST
What is the solution to the system of linear equations graphed below?

Answers

Answer:

The first option so [tex](3\frac{1}{2}, -4)[/tex] is the answer

Skills required: Graphing Knowledge, Systems Knowledge

Step-by-step explanation:

1) The solution to any system is the intersection between any 2 lines or functions. In this case, we are given two functions on a graph, and need to find the solution to them. That is the intersection.

2) We can see the intersection and see that the x-axis value for the coordinate point is around 3 1/2 (or 3.5 -- whatever you prefer), and that the y-axis value for the point is -4.

Therefore, the coordinate point is: [tex](3\frac{1}{2}, -4)[/tex] since this answer best matches the coordinate values of that point.

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

Select the first option, have a nice day! :D

What is the slope of the line

Answers

The answer is 4/6 .

What is 7/6 as a decimal

I need it I the next 5 mins please!

I’ll give brainliest

Answers

Hey there!

7/6

= 7 ÷ 6

= 1.166667

Therefore, your answer is: 1.166667 which is approximately 1.67 or 1.7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

7+32−42÷2 what is it i need help pleaseee

Answers

Answer:

[tex]7+32-42\div 2 = 39 - 21 = 18[/tex]

Step-by-step explanation:

There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?

Answers

Answer:2

Step-by-step explanation:

15/3 = 5

15/2 = 7.5

+1

= 13

15 - 13 = 2

Answer:  5

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

Explanation:

The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.

The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.

Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.

Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}

We see that the following trees aren't marked: {2,6,8,12,14}

There are  5   items in that last set.

Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.

PLEASE HELP ME!!
The pie chart below showshow we annual budget for the passasted Manufacturers Company is divided by department. Use this chant to answer the
(a) Which department accounts for approximately one-third of
the annual budget
Support
Sales
Research
Engineering
Support
Media
Marketing

(b) Appraimately what percentage of the and botinet is
used for Sales and Research combined
Write your answer as a multiple of 10%- that is, 10%, 20%, 30%,

(C) 16% of the annual budget is used for Mariesting,
approximately what percentage is used for Support
2%
09%
18%
300%

Answers

Answer:

  a) Research

  b) 50%

  c) 18% (as marked)

Step-by-step explanation:

a)

About 1/3 of the chart is covered by the segment marked Research.

__

b)

Sales and Research together cover almost half the chart, about 50%.

__

c)

The size of the Support sector is about 3 times the size of the Marketing sector. This lets us estimate Support at about 18% of the budget.

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