In circle Z, BZ = FZ, BZ 1 CA, FZ 1 DC DF = 18 in.
What is BC?

In Circle Z, BZ = FZ, BZ 1 CA, FZ 1 DC DF = 18 In.What Is BC?

Answers

Answer 1

Answer:

18 in.

Step-by-step explanation:

I just took the quiz

Answer 2

Answer:

The dimenssion of BC is - 18in.

Step-by-step explanation:

Definition of circle:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

Step 1:

in Δ[tex]ZFC[/tex] and Δ[tex]ZFD[/tex]

[tex]ZD = ZC[/tex] ( Radius of the circle will be same )

[tex]ZF= ZF[/tex] (Common side in both triangle)

[tex]$\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C][/tex]

So from Side Angle Side theorem,

[tex]$\triangle Z F C \cong \triangle Z f D$[/tex]

So, [tex]$F C=F D=18 in.[/tex]

Step 2:

[tex]$\triangle B C Z$[/tex] and [tex]$\triangle F C Z$[/tex]

[tex]$B Z=F Z \quad$[/tex] (Given)

[tex]CZ = CZ[/tex] (Common side in both the triangle)

[tex]$\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$[/tex] and [tex]$$\overline{F 2} \perp \overline{D C}]$$[/tex]

So from sides side angle theorem,

Δ[tex]BCZ[/tex]≅ Δ[tex]FCZ[/tex]

So, [tex]BC = FC[/tex]

Hence [tex]BC = 18in.[/tex]

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Related Questions

A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp

Answers

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

ANSWER THIS PLEASE!!!!

Answers

Answer:

J

Step-by-step explanation:

Done.

Which point is located in Quadrant I? A) (0, -5) B) (0, 0) C) (0, 5) D) (5, 1)












































































































help please hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppp

Answers

Answer:

uhm please show a graph

Step-by-step explanation:

could you show the graph?

1/8 divided by 5 pls help

Answers

Answer:

1/40

Step-by-step explanation:

Answer:

decimal form- 0.025

fraction form- 1/40

Step-by-step explanation:

the area of a square room is 144square metres what is the perimeter of the room​

Answers

Answer:

the answer is 48

Step-by-step explanation:

12×12=144

4×12=48

Please help!!!

A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location. By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?

A.
$261.41 and $268.59
B.
$257.82 and $272.18
C.
$264.37 and $265.63
D.
$254.23 and $275.77

Answers

D hope it helps i think that’s the answer but not sure

Answer:

B. $257.82 and $272.18

Step-by-step explanation:

PLATO USERS

Convert grams (g) and milligrams (mg) to grams.

Answers

Answer:

1mg= 1000g

Step-by-step explanation:

1000 grams makes up 1miligram

ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

c -1 and 2

Step-by-step explanation:

can i have BRAINLIEST?

What is a fraction? What does it represent? Give an example.
First to answer with a question that makes sense gets brainiest.

Answers

Answer:

Its how you represent a number. Less than a whole number.

Step-by-step explanation:

Answer:

.......................

Step-by-step explanation:

Make an organized list which shows all possible outcomes when four fair coins are flipped.
Each coin lands facing either heads up (H) or tails up (T).

What is the probability that at least three coins land facing tails up? Give the probability as a percent, rounded to the nearest whole number.

Answers

Answer:

0.31     (31%)

Step-by-step explanation:

answer steps attached

PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!

Find the Compound Interest

Principal: 100
Interest Rate: 0.4%
Time: 1 year

Answers

Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P[tex]([/tex]1 + [tex]\frac{r}{100}[/tex][tex])^{t}[/tex]

=> A = 100 x ( 1 + [tex]\frac{0.4}{100}[/tex])^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

Find the 51th term of the arithmetic sequence 29 9 -11

Answers

Answer:

-971

Step-by-step explanation:

I plugged the numbers into a arithmetic sequence calculator

write each of the following expression without using absolute value.
|6m-54|, if m<9

Answers

9514 1404 393

Answer:

  54 -6m

Step-by-step explanation:

For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...

  -(6m -54) = 54 -6m

Plz help ill give brainiest to who does PLZZZZ

Answers

Answer:

9.42 i think

Step-by-step explanation:

radius is 1.5 height is 4 so

V=1/3nr^2h

V=1/3n(1.5)^2(4)

V=1/3n(2.25)(4)

V=9.42

Hope this helps :)

Answers please and explain

Answers

Answer:

34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter

Step-by-step explanation:

type it in the calculator bc i dont have mine rn

Answer:

102

Step-by-step explanation:

Well it says use 3 instead of pi. So (3)(34)

Which is 102

The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?

Answers

Answer:

Width: 13/2 ft.

Length: 12 ft.

Step-by-step explanation:

Let's assume the width is x

This means that the length is 2x-1, because it it one less than double the width.

The formula for the area of a rectangle is length*width, so

(2x-1)*x=78

Now let's solve for x

2x^2-x=78

2x^2-x-78=0

Use the quadratic formula

x=13/2 and x=-6

x cannot be negative, so we can rule out x=-6 and are left with x=13/2.

Substituting x back into our original assumptions, we now know that

The width is x=13/2 and

The length is 2x-1=2(13/2)-1=12

Final answer: The width is 13/2 ft. and the length is 12 ft.

Which expression represents the perimeter of the of the figure below?

Answers

Answer:

10x - 20

Step-by-step explanation:

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you assuming some things. First of all, for a two dimensional shape, the perimeter is defined as the distance around it. Suppose we have a rectangle whose dimensions are:

Find the area of the square or rectangle write your answer as a fraction

Answers

It is 4/9 I think sorry if you get it wrong

The solution is,  the area of the square is 4/9 in^2.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).

i.e. A= l× l

here, we have,

In this problem we have a square

so

the area of a square is

A=b^2

we have

b=2/3 in

substitute

A=(2/3)^2

A=4/9 in^2

Hence, The solution is,  the area of the square is 4/9 in^2.

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Please help!

Which expression is equivalent to (1/2x+6)-(1/4x+2)?

A. 1/4 x - 4
B. 1/4 x + 4
C. 3/4 x - 4
D. 3/4 x + 4

Answers

Answer:

Choice B. 1/4 x + 4

Step-by-step explanation:

(1/2x+6)-(1/4x+2)

1/2x + 6 - 1/4x - 2

1/2 = 2/4

combine same values

1/4 x + 4

The answer to this is b

Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?

Answers

Answer:

the question is worded incorrectly, but I believe the answer is 8566.

Step-by-step explanation:


The cost to rent a U-Haul is $30 per day plus $0.75 per mile driven. What is the
maximum number of miles that can be driven in one day if the total rental cost cannot
exceed $135?

Answers

Answer: 140 miles

let me know if this is wrong

Step-by-step explanation:

135-30=105

105÷0.75=140

In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day

Answers

Answer:

The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:

= 1.

 

Step-by-step explanation:

a) Data and Calculations:

                                                Endoscopies      EP Studies    Total

Projected number of studies         60                      5              65

Time in minutes for per study         5                     15

Total time required (in minutes) 300                     75           375

Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.

b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1.  The FTE has 450 minutes available for the additional procedures.  She will only require 375 minutes.  Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.

divide 12 unto two parts such that
their product is 35​

Answers

12=7 so it equals 5 hope it helps .

find the value of x.

Answers

Answer:

5

Step-by-step explanation:

5y+155=180

5y=180-155=25

y=5

5y+13x=90

13x=90-25=65

x=5°

Jade and Henry work for a company that sells buckets of popcorn. The company wants to have a special offer.
Here is Jade's idea for the special offer.
Put 20% more popcorn into each bucket and do not change the price.

Here is Henry's idea for the special offer.
Reduce the price and do not change the amount of popcorn in each bucket.

Henry wants his idea to give the same value for money as Jade's idea.

By what percentage, to the nearest whole number, does Henry need to reduce the price?

Answers

Answer:

17%

Step-by-step explanation:

17%

Step-by-step explanation:

Jade:

p-price

so 100%+20%=120% for the amount of cereal

Find 100%

120%=p

divide by 6

20%=p/6

times by 5

100% = 5p/6

Henry:

5p/6=83% Its the same amount of cereal but for 83% of the price

so 100-83=17%

which is the reduction

To the nearest tenth of a centimeter, how tall is a cylinder with a radius of 8.4 cm and volume of 3119.5 cm3. Give the approximate answer rounded to 2 decimal places.

Thank you!

Answers

Answer:

r=8.4cm

v=3119.5cmcube

volume of a cylinder

=pie r square height

pie=22/7

22/7×8.4×8.4×h=3119.5cm cube

221.76cmsquareh=3119.5cm cube

___________________________

221.76cm square(both sides)

h=14.07cm

The height of the cylinder is h =  14.09 cm

Given data:

To find the height of the cylinder,  the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height.

Given that the radius is 8.4 cm and the volume is 3119.5 cm³, substitute these values into the formula and solve for h.

3119.5 cm³ = π(8.4 cm)²h

To isolate h, divide both sides of the equation by π(8.4 cm)²:

h = 3119.5 cm³ / (π(8.4 cm)²)

Now, calculate the approximate value of h as:

h ≈ 3119.5 / (π * 8.4²)

≈ 3119.5 / (3.14 * 70.56)

≈ 3119.5 / 221.1264

≈ 14.0989 cm

Hence , the height is 14.09 cm

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In the geometric sequence below, what is the common ratio?

Sequence: 64,16,4,1

Answers

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

Mcm de 12 21 63
Encontrar el resultado

Answers

Answer:

Lo mcm es 252.

Step-by-step explanation:

El objetivo de esta queston es encontrar el mínimo multiplo comun de estes tres numeros.

Para eso, factoramos estes numeros en valores primos, e despues multiplicamos estos factores.

12 21 63

12 - 21 - 63|2

6 - 21 - 63|2

3 - 21 - 63|3

1 - 7 - 21|3

1 - 7 - 7|7

1 - 1 - 1

2*2*3*3*7 = 252

Lo mcm es 252.

24 swimmers are swimming in the pool. 9 of them are female. What fraction of swimmers are male?

Answers

Answer:

15/24 or 5/8

Step-by-step explanation:

Well 9 are female

The rest of the 24 has to be male so

24-9=15

15/24 or 5/8

The fraction of male swimmers is 5/8.

Given,

24 swimmers are swimming in the pool.

9 of them are female.

We need to find what fraction of male swimmers.

How do we find fraction of items from the total items?

We write in two parts numerator and denominator.

= Numerator / Denominator

= Number of required items / Total number of items

Find the total number of swimmers.

= 24

Find the number of male swimmers.

= Total swimmers - Female swimmers

= 24 - 9

= 15

Find the fraction of male swimmers.

= Number of male swimmers / Total number of swimmers
= 15 / 24

Taking out the common factor

= 3 x 5 / 3 x 8

= 5/8

Thus the fraction of male swimmers is 5/8.

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1 A local college rents calculators to students
taking math classes. The cost to rent the
calculator is $5 per month plus a
nonrefundable fee of $10. Write an equation
to represent the cost, c, of renting a
calculator for m months.
2
Fleanor hart

Answers

link is scam dont use it or put it in pls :)))) it’s like. boy
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