Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE

Answers

Answer 1

Answer:

DE = 29.57

Step-by-step explanation:

Given:

AX = 15 cm,

CX = 12 cm,

EX = 21 cm.

Required:

Find DE

Solution:

AX and CX are segments of chord AC

DX and EX are segments of chord DE

Therefore,

DE = DX + EX

DE = DX + 21

We are not given the value of DX, so we need to find DX

Based on the intersecting chords theorem:

AX*CX = DX*EX

Plug in the values

15*12 = DX*21

180 = DX*21

Divide both sides by 21

180/21 = DX

8.57142857 = DX

DX ≈ 8.57

✅DE = DX + 21 = 8.57 + 21 = 29.57


Related Questions

WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :

Answers

Answer:

5. x = -1 or x = -3

6. b = -2 or b = 6

7. n = 5 or n = 4

Step-by-step explanation:

5. x² + 4x + 3 = 0

Factorize

x² + 3x + x + 3 = 0

x(x + 3) +1(x + 3) = 0

(x + 1)(x + 3) = 0

Set each of the factors equal to zero and solve for x

x + 1 = 0 or x + 3 = 0

x = -1 or x = -3

6. b² - 4b - 14 = -2

Put all terms on one side of the equation leaving zero on one side

b² - 4b - 14 + 2 = 0

b² - 4b - 12 = 0

Factorize

b² - 6b + 2b - 12 = 0

b(b - 6) +2(b - 6) = 0

(b + 2)(b - 6) = 0

Set each of the factors equal to zero and solve for b

b + 2 = 0 or b - 6 = 0

b = -2 or b = 6

7. n² = 9n - 20

Put all terms on one side of the equation leaving zero on one side

n² - 9n + 20 = 0

n² - 5n - 4n + 20 = 0

n(n - 5) -4(n - 5) = 0

(n - 5)(n - 4) = 0

Set each of the factors equal to zero and solve for b

n - 5 = 0 or n - 4 = 0

n = 5 or n = 4

Mr. Lloyd wants to buy a new television, but he does not have enough money in his bank account to pay for one. Which of these is NOT an option for Mr. Lloyd? OPTIONS:
F
He can use his credit card to buy the television now.
G
He can save money and pay cash for the television at a later date.
H
He can use his debit card to buy the television now.
J
He can save money and use his debit card to buy the television at a later date.

Answers

Answer:

The only option which is not available for Mr. Lloyd is to use his debit card to purchase the television now. The debit card can only be Used to make purchases when the account holder has funds or money in his or her account.

Step-by-step explanation:

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2​

Answers

Y = 4x*e^(-x) , y=0, x=3 , rotation about y-axis
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.

For BRAINLIST!!

Which statement is best supported by the information in the dot
plots?

Answers

Answer: D

Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then

Expand the expression -11(30 – 2d) using the Distributive Property.

Answers

Answer: -330 + 22d

Step-by-step explanation:

Apply distributive law: a(b-c)=ab-ac

Answer:

[tex]-330+22d[/tex], or the other way around

Step-by-step explanation:

[tex]-11*30=-330[/tex]

[tex]-11*-2d=22d[/tex]

Please help!!! Also if you could show work I need it!

Answers

The perimeter is 18+18+20+20=76. 18 square root 2 /2= 12.727. Hypotenuse or triangle is 18 + 12.727+12.727=43.455. 76.18+43.455=119.635. The area is 18x20=360. (12.727x12.727)/2= 161.9765. 161.9765+360= 521.9765.
For the hypotenuse since it is a 45,45,90 triangle the two side lengths are are same so it is x square root 2 divide by 2. Hope that helps!!

The art students are using clay. Each student needs 9/10 of a package of clay, there are 32 students in the class. How many packages of clay does the class need?

Answers

Answer:

29

Step-by-step explanation:

[tex]\frac{9}{10} * \frac{32}{1} = \frac{288}{10} = 28.8[/tex]

unidad de 1000 a Cuántos centímetros equivale

Answers

En centímetros tiene que ser 100

What is the answer please help no links please help

Answers

The correct answer would be 380

Solve 3/4 = j- 1/2 j=

Answers

Answer:

3/8

Step-by-step explanation:

If x = 1 does x² - x = 0?

Answers

Answer:

Yes it does

Step-by-step explanation:

we would like to Prove the following for x=1:

[tex] \displaystyle {x}^{2} - x = 0[/tex]

since x=1 substitute:

[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]

to simplify it we can consider the order of PEMDAS which is a abbreviation of

ParenthesesExponentMultiplication orDivision Addition orSubstraction

since exponent come first

simplify exponent:

[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]

simplify substraction:

[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]

since left hand side equal to right hand side

hence, Proven

Alternate way:

use a²-b²=(a+b)(a-b) to rewrite:

[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]

since x=1 substitute:

[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]

simplify square root:

[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]

simplify parentheses:

[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]

Multiplying any number by 0 results 0 thus

[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]

since left hand side equal to right hand side

hence, Proven

Given,

x = 1

We need to find if x² - x = 0 is true or false.

If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)

So,

=》x² - x = 0

By substituting ...

=》1² - 1 = 0

Now calculate...

=》1 - 1 = 0

=》0 = 0

•°• The given statement is true.

_____

RainbowSalt2222 ☔

If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above

Answers

Answer:

(a) Always true

Step-by-step explanation:

In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions

So this is always true as in this it can be unique test or infinite.

So according to the given situation, the option a is correct

1 Which expression can be used to find the volume, in cubic centimeters, of the solid shown? Choose all that apply. 3 cm 4 cm 7 cm 5 cm 9 cm A (3 X 4 X 5) + (3 X 5 X 9) B (3 X 5 X 6) + (5 X 4 X 3) C (9 X 5 X 3) + (3 X 5 X 7) D (7 X 5 X 3) + (6 X 5 X 3) E (3 X4 X 7) + (6 X 5 X 4)​

Answers

Answer:

I think its D

Step-by-step explanation:

aced or higher please hellp i beg :C

Answers

Answer:

A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

B: 15 square units

Step-by-step explanation:

A:

Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)

B

The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.

The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.

The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24

The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.

The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9

The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units

please help me .....


What is the average speed (rate) if you traveled 83.6miles in 3.8 hours?​

Answers

Answer:

22 mph

Step-by-step explanation:

83.6 miles

3.8 hours

83.6/3.8 = 22 mph

Lawrence got a car loan from a bank, with the car as collateral. What kind of loan did he get?

Answers

Answer:

secured loan

Step-by-step explanation:

Answer: Here

Step-by-step explanation:

You Go

The scatter plot shows the heights ( in inches) and the shoe sizes of eight men. What is the height of the man whose shoe size is 12?
NO LINKS!!!​

Answers

Answer: 72 inches

Step-by-step explanation:

Question 14
Find the volume of this sphere. Round to the nearest hundredth.
6.5 cm
cm cubed

Answers

Answer:

1150.35

Step-by-step explanation:

Find the volume of the cone below. Leave your answer in terms of pi.

Answers

Answer:

ahaha it's B my guy

Step-by-step explanation:

peace out

Which numbers between 10 and 20 do not appear in the table at all?
And also why don’t they appear?

Answers

Answer:

11, 13, 17, 19,

Step-by-step explanation:

dunno

If the points in the table lie on a parabola, write the equation whose graph is the parabola.

Answers

Answer:

what? i need a table to answer

Step-by-step explanation:

I BEG FOR MY LIFE EZ PLS

{{{{{{{PICTURE PROVIDED}}}}}}}}}

Answers

Answer:

B and D

Step-by-step explanation:

This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!

Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Which of the following are stylings of the new quadrilateral?

Choose all that apply:
10
8.4
9.6
6
7.2
5

PLEASE HELP I Got 5 minutes​

Answers

Answer:

10

8.4

5

Step-by-step explanation:

What is the area of the rectangle below?
9 feet
7 feet

Answers

Answer:

63 feet ^2

Step-by-step explanation:

Well assuming your presented with length and width.

9*7=63

Find the surface area of a rectangular prism with a
length of 6 yards, a width of 4 yards, and a height of 9
yards.

Answers

Answer: 228 yds^2

Step-by-step explanation:

Surface Area=  2 (L x W) + (L x H) + (W x H)

2×(6×4 + 6×9 + 4×9) = 228

Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation

Answers

The answer is y=1/4x

Two ride-sharing companies are competing for business in a large city. To help customers compare the companies, a data scientist selects a random sample of 40 completed rides from each of the two companies. From each sample, he computes the mean amount of time that passed between when the request for a pickup was placed and when the customer was picked up. Company A took, on average, 18 minutes to pick up customers with a standard deviation of 4 minutes. Company B took, on average, 12 minutes to pick up customers with a standard deviation of 10 minutes. (a) Construct and interpret a 98% confidence interval for the difference in mean response time for these two ride-sharing companies.

Answers

Solution :

Given :

[tex]$n_1 = n_2 = 40$[/tex]

[tex]$\overline X_1 = 18$[/tex]

[tex]$S_1 = 4$[/tex]

[tex]$\overline X_2 = 12$[/tex]

[tex]$S_2 =10$[/tex]

So we want to test :

[tex]$H_0 : \mu_1=\mu_2 $[/tex]   vs [tex]$H_1 : \mu_1 \neq \mu_2 $[/tex]

a). For 98% confidence interval :

[tex]$=\left((\overline X_1 - \overline X_2) \pm Tn_1+n_2-2, \alpha / 2 \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\right)$[/tex]

[tex]$=\left((18-12) \pm 2.375 \sqrt{\frac{4^2}{40}+\frac{10^2}{40}}\right)$[/tex]

[tex]$=(6 \pm 4.0445)$[/tex]

= (1.956, 10.045)

What is the area of a rectangle whose length is 4 2/3 cm and width is 8 cm?

Answers

Answer: 37 1/3 cm

Step-by-step explanation:

Area = Length times width

4 2/3 times 8 = 37 1/3

Need the answer to x and y !

Answers

Answer:

x=5, y=3

Step-by-step explanation:

7x-11=24: 7x=35: x=5

3(5)+9=8x: 24=8x: x=3

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

D

Step-by-step explanation:

They are trying to see how long it takes people to complete the writing portion of the test.

Other Questions
NO LINKSOntology is a branch of philosophy concerned with:Group of answer choicesdivine attributesexistenceknowledgeethics Which of the following is arepresentation of 11! Remember that certain verbs take different meaning when they are in the preterite or imperfect tense. Complete the following sentences with the preterite or imperfect according to the context of the sentence.1. Anoche nosotros enter answer (tener) que asistir a una reunin muy aburrida. No salimos hasta las 10:00 de la noche.2. El ao pasado Elisa enter answer (saber) que Esteban tena una hermana. No lo enter answer (saber) antes.3. Anita quera llevarme a una celebracin familiar, pero yo no enter answer (querer) ir. Me qued en casa.4. La semana pasada Dolores trat de sacar dinero del banco, pero no enter answer (poder). El cajero automtico (ATM) estaba descompuesto (broken) y el banco estaba cerrado.5. Cuando yo era ms joven enter answer (tener) que estudiar mucho. Which drug may also cause the spread of a AIDS and Hepatitis Myriad Solutions, Inc. issued 12% bonds, dated January 1, with a face amount of $350 million on January 1, 2021, for $312,921,210. The bonds mature on December 31, 2030 (10 years). For bonds of similar risk and maturity the market yield is 14%. Interest is paid semiannually on June 30 and December 31. 1. What would be the net amount of the liability Myriad would report in its balance sheet at December 31, 2021 What are 2 similarities between the challenges faced by people in Europe after the war and people in the U.S. during the Great Depression? Help me please thank youuu If the sin 90 = 1, then which statement is true? Please help ASAP Which of these is NOT an example of an environmental factor that can affect an organism's growth?Inheriting the gene for purple flower petals orLimited or no shelter/space to nurture offspring orinadequate sunlight orinsufficient access to water or nutrients Use the internet to lookup the following Genocides and tell me the datesof the genocide, which group was targeted andthe number of people killed:- Athenian Genocide-Namibian Genocide-Rwandan Genocide 1. Write in order the following elements to get a simple future sentence.Write/ will/ different topics/on/l/articles. Which statements accurately describe medieval pardoners? Choose three answers.They translated the Bible into English.They were authorized to preach.They distributed indulgences.They were considered the Popes equals.They accepted donations for the church. Survey / Statistical Question:How many times has each person moved states? I'm not sure what the answer is but i think it's F please tell me kf i'm right or not. What is the study of sound waves called? short answer pls Early research on the motor cortex suggested that it ______; however, more recent work suggests that the motor cortex may actually ______. Group of answer choices controlled individual muscle movements; store a repertoire of movement categories stored a repertoire of movement categories; control individual muscle movements controlled only reflexive movements; control both reflexive and voluntary movement control only learned movements; control both learned and innate movements Helppp meee I will give brailiest For many years chloroform (CHCl3) was used as an inhalation anesthetic in spite of the fact that it is also a toxic substance that may cause severe liver, kidney, and heart damage. Calculate the percent composition by mass of this compound to four significant figures. Gabrielle is 11 years older than Mikhail. The sum of their ages is 107. What is Mikhail's age? Review the procedural text.What will a reader who is unfamiliar with the building inthe diagram most likely ask?Evacuation PlanWhere is the primary exit?What is the purpose of the evacuation plan?What do the areas with different colors represent?O How often has the evacuation plan been carried out?Primary exitSecondary exitYou are here