A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.

What is the length of line segment XZ?

Answers

Answer 1

Given:

Consider the below figure attached with this ques.

To find:

The length of the line segment XZ.

Solution:

According to the tangent-secant theorem, the square of tangent is equal to the product of secant and external segment of secant.

Using tangent-secant theorem, we get

[tex]WZ^2=ZX\times ZY[/tex]

[tex](k+4)^2=(k+12)k[/tex]

[tex]k^2+8k+16=k^2+12k[/tex]

[tex]8k+16=12k[/tex]

Subtract both sides by 8k.

[tex]16=12k-8k[/tex]

[tex]16=4k[/tex]

Divide both sides by 4.

[tex]4=k[/tex]

Now,

[tex]XZ=12+k[/tex]

[tex]XZ=12+4[/tex]

[tex]XZ=16[/tex]

Therefore, the measure of XZ is 16 units.

A Circle Is Shown. Secant X Z And Tangent W Z Intersect At Point Z Outside Of The Circle. Secant X Z

Related Questions

The temperature of chicken soup is 192.7°F. As it cools, the temperature of the soup decreases 2.3°F per minute. What is the temperature in degrees Fahrenheit of the soup after 25 minutes?

Answers

Answer: 135.2 °F

Step-by-step explanation:

The temperature decreases at a rate of 2.3 °F per minute.

This means that in 25 minutes, the temperature would have reduced by:

= 2.3 * 25

= 57.5°F

If the original temperature was 192.7 °F, the temperature after 25 minutes will be:

= 192.7 - 57.5

= 135.2 °F

5 is what percentage of 10 question: now do I divide 5 divided by 10 equals 0.5 then do I multiply 0.5 by 100 or divide 0.5 by 100?

Answers

Answer:

50%

Step-by-step explanation:

5 question is what percentage of 10 question

Step 1: Divide 5 by 10

5/10 = 0.5

Step 2: multiply 0.5 by 100

0.5 × 100

= 50%

Therefore, percentage of 5 questions out of 10 questions is 50%

Answer:

50%

Step-by-step explanation:

5 is half of 10

50 is half of 100

Find the distance between (8,5)(-1,3). Round your answer to the nearest tenth.

Answers

Answer: 9.2

Step-by-step explanation:

d = sqrt ((x2-x1)^2 (y2-y1)^2)

d = sqrt (85)

d = 9.219544

f(x)=9x+3 find f(5).

Answers

Answer:

48

Step-by-step explanation:

f(x)=9x+3

f(5)=9(5)+3

f(5)=45+3

f(5)=48

5.) Find the area of the triangle in bold.

Answers

Answer:

the answer is 0.98

Step-by-step explanation:

if it not correct plz correct me

Answer:

.975 mi²

Step-by-step explanation:

Hello There!

Formula for area of a triangle [tex]A =\frac{1}{2}bh[/tex]

where b = base and h = height

the dimensions of the triangle shown are b = 1.5 and h = 1.3

given the dimensions all we have to do is plug in the values into the formula

so

[tex]A=\frac{1}{2} 1.3*1.5\\1.3*1.5=1.95\\\\\frac{1.95}{2} =0.975[/tex]

so we can conclude that the area of the triangle is

.975 mi²

Select all the values of x that make x + 3 > 5 true.

Answers

Answer:

D AND E

Step-by-step explanation:

What value of x makes the equation 5(4x - 1)=4(2.5x+8) true?

need help asap ?

Answers

Answer:

37/10

( I hope this was helpful) >;D

Hopefully this helps

need help ASAP !!!

[tex] \sqrt{88 \times 11 \times 2 \times 4} [/tex]

Answers

Answer:

√(88×11×2×4}=√88²=±88 is your answer

Answer:

[tex]±88.[/tex]

Step-by-step explanation:

[tex]= \sqrt{88 \times 88} [/tex]

[tex] = \sqrt{ {88}^{2} } [/tex]

[tex]±88[/tex]

Please Help ill mark as brainiest

Answers

Answer:

Step-by-step explanation:

Price at the end of 1 month = $59 ⋅ 1.03 = $60.77

Please its really urgent, step by step working out

Answers

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

Make the Fraction into a Decimal square route 81 over 100

Answers

Answer: 0.9

Step-by-step explanation:

Sqrt 81 is 9

over 10 is 9/10

which is 0.9

b) Select all expressions that can be used to find 85% of 280.
A.
8.5
10
280
B.
0.85
100
280
C.
85
100
280

Answers

Answer:

238

85%of 280 is 238

Step-by-step explanation:

hope this helps

7/12 minus 1/6 gggggggggggggggggggg

Answers

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]

Answer:

0.41666666666

or

5/12

Step-by-step explanation:

HELP HELP PLEASE!! D:

Find the length of the missing side of the trapezoid below:
PLEASE NO CAP!!

Answers

2 root 10 bfngjtejrahtwhw

I WILL GIVE BRAINLIEST!!!

NO SENDING ME LINKS!!!

Answers

Here’s a tip when you want to get all your answers right on khan academy.... Turn your Wifi off click an answer & it will give you the right ones then turn you WiFi back on and choice the correct answers for the questions.

The value of a bank account, B, after x years is represented by the equation B = 1000(1+.014)x. To the nearest penny, how much is the account worth after 15 years?

Answers

Answer:

your mom

Step-by-step explanation:

you mom

3) A 24 foot wire is attached to an electrical pole. If the pole is 20 feet tall, how

far is the wire sitting from the base of the pole? Round answers to the nearest

tenth of a foot.

9ned

WIRE

SASE

A) 312

B) 133

C) 176

OD) 132

HELLPP PLEASEEE

Answers

Answer:

13.3 feet

Step-by-step explanation:

This question can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length = 20

b = base

c = diagonal = 24

24^2 = 20^2 + b^2

576 = 400 + b^2

b^2 = 176

b = 13.3

11) Nick & John ordered burritos & tacos for lunch. Nick
ordered 3 burritos & 4 tacos for $11.33. John ordered 9
burritos & 5 tacos for $23.56. Find the cost of one
burrito & one taco.

Answers

Answer:

taco:  $1.49 each

burrito:  $1.79 each

Step-by-step explanation:

Let b = cost of one burrito

     t =  cost of one taco

(1)     3b  + 4t  = 11.33              (2)     9b + 5t = 23.56

Multiply (1) by -3 and add to (2)     -9b - 12t = 33.99

                                                              - 7t = - 10.43

                                                                  t = 1.49

       3b + 4(1.49) = 11.33

          3b + 5.96 = 11.33

                  3b = 5.37

                    b = 1.79

As a first step in developing a new drug to treat cancer in humans, an initial study of the drug is undertaken in rats. Three hundred rats with cancer are studied, and each is assigned to one of three treatments. One hundred rats are randomly assigned to a high dose of the new drug, 100 are randomly assigned to a low dose, and 100 are randomly assigned to a control group (no drug). After six months, each rat is examined and classified as having developed no tumors, one tumor, or two or more tumors.Which of the following would be an appropriate alternative hypothesis in this study for a chi-square test for homogeneity of tumor response across treatments?A. Ha :Ha : There is no difference in the distribution of tumor status across the three treatments.B. Ha :Ha : There is a difference in the distribution of tumor status across the three treatments.C. Ha :Ha : There is no association between tumor status and treatment.D. Ha :Ha : There is an association between tumor status and treatment.E. Ha :Ha : The proportion of rats with no tumors is the same for each treatment group.

Answers

Solution :

Here, we are interested to study if the treatments have any effect on going tumor or not. Actually, this is model is an ANOVA one way layout with a treatment 'drug'.

In this kind of model or ANOVA model, we take the negative statement as our null hypothesis i.e.,

[tex]$H_0:$[/tex] There is no difference in the distribution of tumors states across the three  statements.

Therefore, alternative hypothesis would be :

[tex]$H_a:$[/tex] There is a difference in the distribution of tumor states across the three treatments.

So the correct option is (B).

PLEASE HELP DUE AT MIDNIGHT!

Answers

Answer:

60 i think

Step-by-step explanation:

109-180= 71

u=71

71+49=120

120-180=60

109 is on a straight line with an interior angle of a triangle, so 180 - 109 = 71 degrees.

Add two known interior angles (71 + 49) together and you get 120 degrees.

Subtract 120 from 180 (since 180 is the sum of all three interior angles of a triangle) and you get 60 degrees.

Answer: ∠ULE is 60 degrees

Solve the equation.
2t – 5 = -10
t

Answers

Answer: (2t - 5) • (t - 1) -  2  = 0

t=3

Step-by-step explanation:

Answer
2t-5=-10t
T=5/12
In decimal 0.416

Hope this helps

Determine the slope of the line.

Answers

Answer:

what line?

Step-by-step explanation:

I don’t see the line

both sum of three consecutive integers is 108 what are the three integers ​

Answers

Answer:

35 , 36 , 37

Step-by-step explanation:

Let the consecutive integers be x, (x + 1) , (x +2)

x + x + 1 + x +2 = 108

x + x + x + 1 + 2 = 108          {Combine like terms}

     3x + 3   = 108          {Subtract 3 from both sides}

             3x = 108 - 3

            3x = 105            {Divide both sides by 3}

              x = 105/3

               x = 35

The three integers are, 35 , 36 , 37

NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

B = 240/h

Step-by-step explanation:

If (x²- 4) = (x + 2) = x - 2, which polynomial should fill in the blank below?
(x + 2)x____= x² - 4
O x² – 4
OX-2
O x + 2
O x²-2

Answers

Answer:

x-2

Step-by-step explanation:

(x+2)× ___=(x+2)(x-2)

___=(x+2)(x-2)/(x+2)

___=x-2

The polynomial which should be filled in the blank is (x - 2).

What are Polynomials?

Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.

Given that,

x² - 4 = (x + 2) (x - 2).

We have to find the blank space.

By commutative property, the other side is also equal.

That is,

(x + 2) (x - 2) = x² - 4

Hence the correct option is (x - 2).

Learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ5

Can someone please answer this question. If I get it right this is hopefully the last question I’ll be posting for the rest of the day

Answers

The answer for the question is 59

Answer:

53°

Step-by-step explanation:

not sure what you mean by nearest degree but use the cosine ratio to get the answer.

in ΔCDE we have the hypotenuse and adjacent side so use cosine ratio : cos C= 45/75

<C=cos^1 (45/75)

<C= 53°

The vertex form of the equation of a parabola is y = (x+ 3)2 + 53.
What is the standard form of the equation?

Answers

Answer:

y = 2x² + 12x + 71

Step-by-step explanation:

y= 2x^2 + 12x + 71 that’s what I got when I did it

Solve for n. -4(n+5)=8

Answers

Answer:

Simplify first:

-4n - 20 = 8

Add 20 to both sides:

-4n = 28

Divide by -4:

Therefore you will get:

n = -7

Answer:

n = -7.

Step-by-step explanation:

-4(n + 5) = 8

-4n - 20 = 8

-4n = 28

n = -7.

24 less than the number of snakes is 35.​

Answers

This doesn’t make sense..... elaborate

Help pls and thank you :)

Answers

D (7) should be the correct answer.
D (x=7) is the answer lol
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