Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.
Prove: △ACO ≅ △BCO
Circle O is shown. Line segments A O and B O are radii. Tangents C B and C B intersect at point C outside of the circle. A line is drawn to connect points C and O.
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because .
We also know that AC ≅ BC since .
Using the reflexive property, we see that .
Therefore, we conclude that △ACO is congruent to △BCO by the .

Answers

Answer 1

Answer:

We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because  

✔ all radii of the same circle are congruent.

We also know that AC ≅ BC since  

✔ tangents to a circle that intersect are congruent.

Using the reflexive property, we see that  

✔ side CO is congruent to side CO.

Therefore, we conclude that △ACO is congruent to △BCO by the  

✔ SSS congruence theorem.

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Answer 2

The two column proof of the fact that  △ACO is congruent to △BCO is; SSS Congruence Theorem

How to write the two column proof?

We are given that;

angle AOB is a central angle of circle O

angle ACB is a circumscribed angle of circle O.

Now, AO ≅ BO. The reason is because all radii of the same circle are congruent.

We are told that; AC ≅ BC. The reason is because tangents to a circle that intersect each other are congruent.

Using the reflexive property, we see that side CO is congruent to side CO.

Finally, we can conclude that △ACO is congruent to △BCO by the SSS congruence theorem.

Read more about the two column proof at; https://brainly.com/question/1788884


Related Questions

The temperature in a freezer is set at -18°C. The temperature in a
refrigerator is 210 warmer. Should the temperature of the refrigerator be
represented by a positive integer or negative integer? Explain your
reasoning.

Answers

Answer:

Positive

Step-by-step explanation:

refrigerator is 210, so it positive.

pease help me asp!!

1. all real numbers greater than –7

2. all real numbers less than 1

3. all real numbers greater than or equal to 9

4. all real numbers less than or equal to 10

5. all real numbers less than 8 and greater than 3

6. all real numbers greater than 7 or less than 5

7. all real numbers less than 5 and is at least 0
8. All real numbers less and 4 and is at least –9

9. all real numbers less than –2 and is at least –

10. all real numbers greater than –6 or less than –1

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Answers

Answer:

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1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)

Answers

Answer:

6x*2-3x*2y

4p-18

Step-by-step explanation:

The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.
b
a
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a
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b
Use this information to find the area of the square below.
b
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b
b
b
ਬਰੀ ਹੈ। ਅਜੋਕੇ ਸੰਤ
CHE

Answers

Answer:

25

Step-by-step explanation:

3a=30... equation 1

2a+2b=30... equation2

equation 2 => a+b=15 ... equation 3

equation 1 => a = 10 ... equation 4

equation 4 & equation 3 => b = 5

5^2 = 25

Answer:

20 cm

Step-by-step explanation:

triangle

30/3=10=a

rectangle

30-20=10/2=5=b

square

4 times 5=20

The current population of Rochester is 211,000 and is decreasing at a rate of 4.1% every ten years. Which function can be used to find the population 30 years from now?

Answers

Answer:

211,000(0.97)t

Step-by-step explanation:

Firstly; Write the exponential decay function for this situation.

y = a(1 – r)t                                Write the formula.

= 211,000(1 – 0.041)t                 Substitute 1700 for a and 0.03 for r.

= 211,000(0.97)t                        Simplify.        

Next; Find the population in function.

y = 1700                    Substitute 12 for t.    

 ≈ 1180                      Use a calculator and round to the nearest whole number.                                  

The population in 30 years function will be approximately 211,000(0.97)t.

(4.5)x = 26 pls help me with this it is multiplication equations

Answers

Answer:

x=5.7

Step-by-step explanation:

Answer:

x = 5.78

Step-by-step explanation:

(4.5)x = 26

4.5x = 26

x = 26/4.5

x = 5.78

Name a tangent.
HELPPP

Answers

Answer:

SUT

Step-by-step explanation:

A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency

Describe an Angle Bisector

Answers

Answer:

An angle bisector is a straight line that divides the angle into two equal parts.

Step-by-step explanation:

Answer:

The (interior) bisector of an angle, also called the internal angle bisector (Kimberling 1998, pp. 11-12), is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter.

Step-by-step explanation:

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Mr. Davis is a gym teacher. Yesterday, he recorded how many laps each of his students ran
around the gym during class. This box plot shows the results

What percent of students ran 10 or more laps?

Answers

55.55% of the students ran 10 or more laps.

Percentages

According to the data in the box, to determine what percent of students ran 10 or more laps, considering the line drawn, the following calculation must be made:

14 - 5 = 9100 / 9 = 11.1111.11 x 5 = 55.55

Therefore, 55.55% of the students ran 10 or more laps.

Learn more about percentages in https://brainly.com/question/26080842

Answer:

THE CORRECT ANSWER IS: 25%

Step-by-step explanation:

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Answers

Answer:

-6×-4 and -2×-12 are pairs

-3×4 and 6×-2 are pairs

-8×-2 and 4×4 are pairs

the rest are left overs

'Do you believe the quarantine crisis will leave no scars'?'.... , I believe we
will feel its bite for years'.

A. By contrast
B. On the contrary
C. O Instead​

Answers

Answer:

B .on the contrary...........

what would I put to show my work?

Answers

Answer:

x = 23

Step-by-step explanation:

These are supplementary angles so the sum of those angles add up to 180:

3x + 16 + 5x - 20 = 180

8x - 4 = 180

8x = 180 + 4

8x = 184

x = 184/8

x = 23

What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answers

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Answer:

29 degrees and 151 degrees!

Step-by-step explanation:

URGENT PLEASE GET THIS QUICKLY PLEASE
If f(x)= 2x+7, find f(2)=

Answers

Answer:

21

Step-by-step explanation:

2(2) +7

14+7

21

Answer:

11

Step-by-step explanation:

Somebody help please!<333

Answers

Answer:

C is correct I think.

Step-by-step explanation:

Tell me if I am right.

Have a nice day!

Which is the best approximation of PX?

Answers

Answer:

The best known approximations to π dating to before the Common Era were accurate to two decimal places; this was improved upon in Chinese mathematics in particular by the mid-first millennium, to an accuracy of seven decimal places.

Step-by-step explanation:

The area of a rectangular patio is 3x2 + 17x + 20 ft
Which of the following could be dimensions of the patio?
O A. X+ 5 ft by 3x + 4 ft
B. 3x + 5 ft by x + 4 ft
O
C. X + 5 ft by x + 4 ft
O D. 3x + 5 ft by 3x + 4 ft

Answers

Answer:

a

Step-by-step explanation:

can any one help me i do not get it

Answers

Answer:

x=30

Step-by-step explanation:

The figure on the right has 12 in. on one side and 10 on the other and the figure on the left is 3 times the number that the figure on the left has. When you multiply 3 and 12 you get 36. From there on you can infer that you multiply 10 by 3. Your solution to x is 30.

Answer: 30

Step-by-step explanation:

36/3=12, 30/3=10

Just some points have fun

Answers

Answer:

thx for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes it's fun

Someone help please! D:

Answers

Answer:

D) (10,22)

Step-by-step explanation:

based on given slope and point, the linear equation is y = 9/5x + 2

plugging in x-and-y values only results in a true statement for option D

example:

22 = 9/5(10) + 2

Does 22 = 18 + 2?  Yes

If Steve runs 4/5 mile each day, how many miles will Steve run in 5 days?

Answers

Answer:

4 miles

Step-by-step explanation:

Plz help I needs its

Answers

B. The measure of angle w is the same as the measure of angel z

i’m tryna finish my exit ticket asap please i don’t need no links i just need help and the answer please

Answers

Answer:

B

Step-by-step explanation:

who here dose not like edg

Answers

Answer:

Step-by-step explanation:

i dont have edg but i use ap'ex and i hate it so much

Answer:

MEE I am so behind. Latterly why do they give us so many lessons a day. I am just doing well I am online. I can't what until I go back to my normal school

Step-by-step explanation:

i have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?

Answers

Answer:

3/4 x 6=18/4

Step-by-step explanation:

Reduce fraction to lowest terms

18 over 4

18 /4

= ( 18 ÷ 2 ) over ( 4 ÷ 2 )

18 ÷ 2

4 ÷ 2

= 9 over 2

9 /2

2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

9 over 2

9 /2 = 4 and 1 over 24

1 /2

9 ÷ 2 = 4 remainder 1

Answer:

7 and a half minutes

Step-by-step explanation:

this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour

Find the area of the figure shown below and choose the appropriate result.

A. 96 mm^2
B. 102 mm^2
C. 90 mm^2
D. 140 mm^2

Answers

Area of rectangle is 9x 10- —-90 mm
Are of triangle is 6x4x1/2—- 12
Together 90+12=102
Answer is B

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Answers

Answer:

Y is 5 and X Is 5 Very easy . . . so it's just 5

I need the Answers to this giving brainliest to the person who does not send me a unknown link and actually does the work

Answers

which question do you need to be answered? do you want all of them?

Answer: Look below!

Step-by-step explanation:You can use the Calc below in the pictures

1. √2/2

2. -√2/2

Proof it works!

Please help I will give brainlyest!!!
If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object?

Answers

Answer:

cylinder

Step-by-step explanation:

Answer

cylinder!!

Step-by-step explanation:

so the points "(1, 1), (1, 4), (3, 4) and (3, 1)" they are all positive so this makes this easier tbh so it looks like this once u put them on a grah

.        .

.        .

its a rectangle then it says to rotate on y = 1 which u look at the graph u just put this rectangle on its side like this

.               .

.               .

so then look at the answer options

A.) Cone

B.)Cylinder

C.)Sphere

D.)Pyramid

so it CANT be A bc 1 its a rectangle and if it was a cone it would have 3 points, not 4, bc it would be a triangle

It can be B bc on a graph it will be 2D and a Cylinder has 4 points on a graph(in 2D) which the problem is telling you to make something 2D into something 3D...and is a rectangle in 2D

It CANT be a C bc in 2D it would be a circle and straight up, a square isnt a circle, and the points on the problem is a square ant there would be so many points to put down if it was a circle

It CANT be a D bc once again this would be a triangle and that would have 3 points, or maybe 5(if your looking overhead of the Pyramid where u can see all 4 corners, like a square then the middle point) so a square has all equal sides, rectagle does not, it has 2 and 2 equal sides. 2 sides being small and paralell, and 2 long sides being parallel.

:) have a good day

btw answer is

cylinder!!

Q4) Identify which of the following are geometric sequences and which are
not
(i) 2, 6, 18, 54.....
(ii) 25,5, 1,
(iii) 1, 4, 9, 16

Answers

Answer:

(i) and (ii)

Step-by-step explanation:

For a sequence to be geometric then the ratio r between consecutive terms must be common.

(1)

2, 6, 18, 54

6 ÷ 2 = 3

18 ÷ 6 = 3

54 ÷ 18 = 3

Here there is a common ratio r = 3 , then sequence is geometric

(ii)

25, 5, 1

[tex]\frac{5}{25}[/tex] = [tex]\frac{1}{5}[/tex] and [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{1}{5}[/tex]

There is a common ratio r = [tex]\frac{1}{5}[/tex] , then sequence is geometric

(iii)

1, 4, 9, 16

4 ÷ 1 = 4

9 ÷ 4 = 2.25

16 ÷ 9 = 1.777..

There is no common ratio, then sequence is not geometric

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