Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning.

Line BC Is Tangent To The Circle Centered At A. Find The Measure Of Angle BCA. Explain Or Show Your Reasoning.

Answers

Answer 1

Answer:

[tex] m\angle BCA= 33\degree[/tex]

Step-by-step explanation:

[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

[tex] \therefore AB\perp BC[/tex]

[tex] \therefore \angle ABC = 90\degree [/tex]

[tex] In\: \triangle ABC, [/tex]

[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]

[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]

[tex] 147\degree +m\angle BCA= 180\degree [/tex]

[tex] m\angle BCA= 180\degree - 147\degree[/tex]

[tex] m\angle BCA= 33\degree[/tex]


Related Questions

Find the volume of the figure. A) 288 cm^3 B) 480 cm^3 C) 544 cm^3 D) 640 cm^3​

Answers

Answer:

Step-by-step explanation:

7680 i think

Volume = area of the base x height

Volume of figure1=(4x4)x 10
=160

Volume of figure2= (8x4) x 4
=128
Total volume= 160+ 128=288

free brainlest To first person pls
4 x (9 - 2)

Answers

That answer will be 28

Answer:

=28x

Step-by-step explanation:

Solve within parenthesis first;

Subtract 9-2=7

=4*7x

Multiply the numbers;

4*7=28

=28x

plz tell answer for 33 pnts but dont scam​

Answers

Answer:

(i)

Given

∠BED = ∠BAC

Also we see that

∠ABC = ∠DBE as refer to same angle

Since two angles of triangles are congruent, the triangles are similar by AA similarity postulate

ΔABC ~ ΔEBD

(ii)

In similar figures corresponding parts have same ratio. Use ratios to find the value of x:

AB/EB = AC/ED12/8 = x / 4x = 4*12/8x = 6 cm


Ahmed and his family has dinner at a restaurant and the cost of their meal is BD 28.
Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
ents
Select the correct response:
се'
BD 24.600
ts
BD 33.600
BD 40.500
BD 40

Answers

Answer:

Total bill will be BD 33.600

Step-by-step explanation:

28 multiplied by 20% = 5.6

Add 5.60 to the cost

28.00 + 5.60 = 33.600

hope this helps and is right. p.s. i really need brainliest :)

ercise 5d
lve the following
lutions.
13 - 6a = 1


Answers

Answer:

the answer is 17a

Step-by-step explanation:

I took the quiz

Dan and David are marking exam papers. Each set takes Dan 35 minutes and David 1 hour. Express the time's Dan and David take as a ratio.
Give your answer in its simplest form.

Answers

Answer:

7 : 12

Step-by-step explanation:

35 : 60 cuz 60 mins is an  hour

7 : 12

What is the volume of this cone?

Answers

Answer:

[tex]V=209\ cm^3[/tex]

Step-by-step explanation:

The height of this cone, h = 8 cm

The radius of this cone, r = 5 cm

We need to find the volume of this cone. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2 \times 8\\\\=209.33\approx 209\ cm^3[/tex]

So, the volume of this cone is equal to [tex]209\ cm^3[/tex].

13. A sales lady is paid commission at the rate of 3% on all goods she sells. During
one month, she sold 12 television at sh. 15,500 each, 8 D.V.D player at sh. 5,650
and 4 refrigerators at sh. 21,700 each. Calculate the total commission she earned
in that month.

Answers

Answer: Sh. 9540

Step-by-step explanation:

First, we have to calculate the cost of the total things sold. This'll be:

12 television at sh. 15,500 each = sh. 186000

8 D.V.D player at sh. 5,650 = sh. 45200

4 refrigerators at sh. 21,700 each = sh. 86800

Total cost = sh. 186000 + sh. 45200 + sh. 86800 = sh. 318000

Since the sales lady is paid commission at the rate of 3% on all goods she sells, the total commission that she earned

in that month will be:

= 3% × sh. 318000

= 0.03 × sh. 318000

= Sh. 9540

Solve for x if: y = -6 and -10x + 7y = 18

A) 8
B)-18
C)-6
D)9

Answers

Answer:

Step-by-step explanation:

-10x+7(-6)=18

-10x-42=18

      +42 +42

___________

-10x/-10=60/-10

x= -6

what is the coefficient of 49n+986=-43

Answers

Answer: 49

Step-by-step explanation: A coefficient is the number placed in front of the variable, meaning n is the unknown number, aka variable. Making 49 the coefficient to that variable.

Hope this helps ^^

Answer:

49

Step-by-step explanation:

A coefficient is the numerical or constant quantity placed before or multiplied by a variable.

marking brainliest! please help

Answers

Answer:

H.

Step-by-step explanation:

F is incorrect because you don't know how many service calls a person will make. G is incorrect for the same reason, but with texts. J is incorrect because 8 skirts per hour is making the graph unproportioned.

Answer:

H

Step-by-step explanation:

A bakery makes 6 loaves of bread every 1/2 hour or 12 loaves every hour.

Please help ASAP (NO LINKS)
An import business owner paid $6000 for the goods sold in one month. Her additional expenses are $1600 per month. If she marks up her merchandise 70%, what was her profit for the month?

Answers

Answer:

the answer is $2,600 I belive so

The mean of the numbers 7, 5x, 4, 8 and 6 is
10. What is the value of x?
Ans:​

Answers

Answer:

Step-by-step explanation:

[tex]\frac{7+5x+4+8+6}{5} = 10[/tex]

7+5x+18=50

5x+25 = 50

5x = 25

x = 5

Answer:

25+5x =10

5

25+5x=505x=50-25x=25/5x=5

hope it helps.

There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic elf?

Answers

Answer:

The probability that I pick a magic elf is 6.66%.

Step-by-step explanation:

Since there are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from, if I randomly choose my character and tool, to determine what is the probability that I'll be a magic elf, the following calculation must be performed:

1/3 x 1/5 = X

0.3333 x 0.2 = X

0.0666 = X

0.0666 = 6.66%

Therefore, the probability that I pick a magic elf is 6.66%.

Please answer correctly! I will mark you as Brainliest!

Answers

Answer:

V = 336 ft3

Step-by-step explanation:

1/2*7*16*6

336

Answer: 336 ft cubed

Step-by-step explanation:

Formula is 1/2 times B times L times H so, 7 times 6 is 42, 42 times 16 is 672 and 672 divided by 2 or multiplied by 1/2 is 336

The answers to any of these would be really helpful

Answers

Answer:

Step-by-step explanation:

Q9) Surface Area of a cylinder

= 2πr(r + h)

Diameter = 12cm , Radius = Diameter/2 = 12 cm/2

r = radius = 6cm

h = height = 10 cm

Surface area = 2 × π × 6(6 + 10)

= 603.18579 cm²

Approximately = 603.2 cm²

Q11) Volume of a rectangular prism

Length × Width × Height

Length = 6.5cm

Width = 8.5 cm

Height = 4 cm

Volume = 6.5 cm × 8.5 cm × 4 cm

Volume = 221 cm³

Q12) Volume of the cylinder = πr²h

r = radius = 1.7m

h = height = 9 m

Volume = π × 1.7 × 9

= 81.71 m³

Approximately = 81.7 m³

Q13) Volume of the cylinder = πr²h

Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2

r = radius = 0.4m

h = height = 1.5 m

Volume = π × 0.4 × 1.5

= 0.75 m²

Approximately = 0.8 m³

A bag contains 4 blue marbles, 3 white marbles, and 2 pink marbles. What is the probability of NOT drawing a white marble?

Answers

Answer:

2/3

Step-by-step explanation:

Total marbles:

4 + 3 + 2 = 9

Non-white marbles:

4 + 2 = 6

Probability of not drawing a white marble:

6/9

2/3

Answer:

6/9

Step-by-step explanation:

n=numerator

d=denominator

b=blue

p=pink

w=white

m=marbles

What we know:

4 bm

2pm

3 wm

what we need to know:

we need to know the denominator (all the numbers added up) and the numerator (the marbles that aren't white marbles).

work:

n= 4+2=6

d= 4+3+2=9

so it is 6/9

Can I please have Brainliest?

f(n)=x2+1
g(n)=2x-5
Find f(n)-g(n)

Answers

Answer:

x^2 - 2x + 6

Explanation:

(x^2 + 1) - (2x - 5)
x^2 + 1 - 2x + 5
x^2 - 2x + 6

A credit card company advertises an APR of 17.2%, compounded daily. What is the effective interest rate

Answers

Answer:

18.76%

Step-by-step explanation:

effective interest rate = ( 1 + periodic interest rate)^m - 1

m = number of compounding = 365

Periodic interest rate = APR / number of compounding = 17.2 / 365 = 0.0471% = 0.000471

(1 + 0.000471) ^365 - 1 = 18.76%

Look at this graph :
Is this relation a function?

Answers

Step-by-step explanation:

Yes it is a function dearest

Please answer question!

Answers

Answer:

23ft

Step-by-step explanation:

I had $13 My mom gave me $10 my dad gave me $30 My aunt my uncle and my grandma gave me $100 I had another seven dollars how much did I have

HELP ASAP!!!! 10 points!!

Answers

Answer:

a, b, c are all perfect square trinomials

Step-by-step explanation:

a)  (x+3)²

b) (w²-2)²

c) (xy-1)²

write the rate and unit rate. 609 kilometers in 7 hours ???​

Answers

Answer:

The rate is 609 kilometers per 7 hours.

The unit rate is 609/7 = 87 kilometers per hour.

Step-by-step explanation:

Should be right

Answer:

87 Kilometers per hour    and if by unit rate you mean how many miles they are doing a miniute then it is 1.45 kilometers per hour

Step-by-step explanation:

Devon’s tennis coach says that 72% of Devon’s serves are good serves. Devon thinks he has a higher proportion of good serves. To test this, 50 of his serves are randomly selected and 42 of them are good. To determine if these data provide convincing evidence that the proportion of Devon’s serves that are good is greater than 72%, 100 trials of a simulation are conducted. Devon’s hypotheses are: H0: p = 72% and Ha: p > 72%, where p = the true proportion of Devon’s serves that are good. Based on the results of the simulation, the estimated P-value is 0.06. Using Alpha= 0.10, what conclusion should Devon reach?
Group of answer choices

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should fail to reject Ha. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Because the P-value of 0.06 < Alpha, Devon should reject H0. There is not convincing evidence that the proportion of serves that are good is greater than 72%.

Answers

Answer:

Because the P-value of 0.06 < a, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

Step-by-step explanation:

Right on edge 2022

The conclusion is (a) Because the P-value of 0.06 < Alpha, Devon should reject H0. There is convincing evidence that the proportion of serves that are good is greater than 72%.

How to determine the conclusion?

The given parameters are:

Null hypothesis H0: p = 72% Alternate hypothesis Ha: p > 72%,p value = 0.06α = 0.10

By comparison, the p-value is less than the alpha value

i.e. 0.06 <0.10

When the p-value is less than the alpha value, the null hypothesis is rejected.

Hence, the conclusion is (a)

Read more about hypothesis tests at:

https://brainly.com/question/15980493

Use the GCF to factor: 24x + 12y

Answers

it slows would be y+2x=

Answer:

36xy

Step-by-step explanation:

Can someone please help me?? I have a huge test coming up and I need to review for it. Do you know the answer? If you do, please explain it because i want to be sure the day of the test. Thanks!! 25 Points!!

Answers

Answer:

Easy way is completing a square:

x² + 20x - 39 = 10x² + 2*x*10 + 100 = 49 + 100(x + 10)² = 149x + 10 = ± √149x = - 10 ± √149

Correct choice is J

please solve Y Im in desperate need of help..​

Answers

Answer:

Y = 10

Explanation:

We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.

If I'm right, I'd appreciate a brainliest as it'd really help me out :D

Each figure below is a regular polygon and has a radii and apothem shown. Find the measure of each numbered angle

Answers

What he said is ok!!!

What is the Slope in the equation y= -2x +5

Answers

Answer:

-2

Step-by-step explanation:

y=-2x+5

y=mx+b where m=slope and b=y-intercept

The answer is -2 hope this helps

2a +8= 16

I’ll give brainey for right answer

Answers

Answer:

a=8

Step-by-step explanation:

2a+8=16

-8 on both sides

2a=8

/2 on both sides

a=4

You can see the picture for the steps but the answer is a=4
Other Questions
can someone please help me and write out the answer b or c How is energy and forces related the atomic mass unit (amu) is a. the mass of a single atom of carbonb. one millionth of a gramc. approximately the mass of a proton d. approximately the mass of an electron (dont send me a link please) Write an argument for or against the following statement. The energy humans use in cars originally came from the Sun.Answer in paragraph form using 5-7 complete sentences.NO LINKS!!!!!! Por qu tienen los chilenos sus vacaciones de verano durante los meses de diciembre, enero y febrero? An 8.8-magnitude earthquake in Chile in 2010 killed more than 700 people. On January 12, 2010, a less powerful earthquake, measuring 7.0, killed more than 200,000 in Haiti. Why do you think this happened? What is the solution to the linear equation? 2/3x-1/2=1/3+5/6x HELPPPPP !! i only have 10 min Which phrase from the text shows this story is set in an imagined future?all of the monster computing machines of all the populated planets in the universe - ninety-sex billionplanetsO "the eyes of a dozen television cameras watched himO "then moved to a position beside the switch that would complete the contact when he threw it"Dwar Ev ceremoniously soldered the final connection with goldPlease help An increase in sea surface temperature leads to a/an _____________ in water vapor, which leads to a/an _____________ in rainfall. In four or more sentences or more explain howthe "Little Rock 9" impacted the Civil Rightsmovement. (Hurry pleaseee) Read this excerpt from "It's My Constitutional Right!"As the bus moved east along Dexter Avenue, the seats filled up block by block with white passengers getting off work from the downtown stores and offices. The ten front seats went quickly, and soon riders were standing in the aisle, keeping their balance by clutching poles as the bus stopped and started. Just before they reached Court Square, Claudette realized that a white woman was standing in the aisle between the four seats in her row. Clearly the woman expected Claudette and her three schoolmates to vacate the entire row so she could sit down in one of the seats. CLAUDETTE: The motorman looked up in his mirror and said, "I need those seats." I might have considered getting up if the woman had been elderly, but she wasn't. She looked about forty. The other three girls in my row got up and moved back, but I didn't, I just couldn't.How does the reader benefit from the author's use of both third-person and first-person points of view?The reader is able to see how the incident appeared to an outsider and understand how Claudette's friends felt.The reader is able to learn what Claudette is thinking and understand the white woman's point of view.The reader is able to understand how the white passengers felt and to get the perspective of the motorman.The reader is able to see how the incident appeared to an observer and understand Claudette's feelings. How does the history of Australia compare to the history of other societies and countries in Latin America? Write a paragraph response including examples. BRAINLYEST!! What can you conclude from the scatterplot shown below? What is Eosinophils role in clotting? Consider the following situation, in which a compass is influenced by not only the force of Earth's magnetic field, but also an additional applied force. 1. Which of the following is true of the angle of deflection of the compass relative to FEarth if FEarth > FApplied?a. The angle of deflection will be exactly 45b. The angle of deflection will be greater than 90 c. The angle of deflection will be less than 45d. The angle of deflection will be exactly 0e. The angle of deflection will be greater than 45 but less than 902. Which of the following is true of the angle of deflection of the compass relative to FEarth if FEarth < FApplied?a. The angle of deflection will be exactly 45b. The angle of deflection will be greater than 90 c. The angle of deflection will be less than 45d. The angle of deflection will be exactly 0e. The angle of deflection will be greater than 45 but less than 90 Determine the amount of potential energy of a 5N book that is 1.5m high on a shelf. Birth control pills have a theoretical annual efficacy of 99.5%, but a real-worls efficacy of only 95%. If a college student takes the pill for the four years she is in college, what is the probability that she will become pregnant at least once using the real world efficacy rate?A. 0B. 0.005C. 0.020D. 0.185 Which was one major source of conflict during the civil rights movement ofthe 1940s to 1950s? chris and Michelle are professional divers. During one of their dives, Chris goes 40 meters below the surface of the water, and Michelle dives 13 meters below Chris. What is Michelles position in meters?