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

Please please ASAP ASAP please ASAP thank you so much please
No links or files please

Answers

Answer:

(0, 3)

Step-by-step explanation:

Y axis changes and x axis stays the same

Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?

Answers

30-4.75= 25.25
25.25/5=5.05
Each drink cost $5.05

Emma bought two televisions at 2500.00 each.One got slightly damaged during transportation.He sold the undamaged one at 3000.00 and sold the damaged one at 2200.00.Calculate the profit made by Emma

Answers

Answer:

200.00

Step-by-step explanation:

Cost of 2 television at 2,500.00 each = 2 × 2,500.00

= 5000.00

Cost of 2 television = 5,000.00

Selling price of the undamaged TV = 3000.00

Selling price of the damaged TV = 2200.00

Total selling price = 3000.00 + 2200.00

= 5,200.00

Total selling price = 5,200.00

Profits = selling price - cost price

= 5,200.00 - 5,000.00

= 200.00

Profits = 200.00

(-x+3) - (x-5) ,.................,.,.,.,.,.,.,.,.......,.,.,.,..

Answers

Answer:

-2x+8

Step-by-step explanation:

(-x+3)-(x-5)

= -x+3-x+5

= -2x+8

find the value of x
2x−3=5

Answers

Answer:

x=4

Step-by-step explanation:

5+3 =8

8/2 = 4

factor 4 in...

(2x4)-3=8

Answer:

X=4

Step-by-step explanation:

At the start of a hike, a hiker was at an elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 feet per minute. a. Write an inequality that represents t, the number of minutes after the start of the hike, when the hiker’s elevation was higher than 5 feet above sea level.

Answers

Answer:

15t - 50 > 5

Step-by-step explanation:

Initial point = -50 ftClimbing rate = 15 ft / minTime = t

Required inequality:

15t - 50 > 5

Solution:

15t > 55t > 55/15t > 3 10/15 = 3 40/60 min = 3 min 40 seconds

Answer:

Solution given:

Initial point = -50 ft

Climbing rate = 15 ft/min

Time = t(let)

So Required inequality:

15t-50 > 5

adding 50 on both term

15t> 55

dividing both term by 15

t > 55/15

t> [tex] 3 \times \frac{10}{15} [/tex]=

[tex] 3 \times \frac{40}{60} [/tex]= 3 min 40seconds is your answer

Jose reads his book at an average rate of 2.5 pages every four minutes. If Jose continues to read at exactly the same rate what method could be used to determine how long it would take him to read 20 pages?

Answers

Answer:

B

Step-by-step explanation:

The volume of a sphere can be found using the formula: v = 47. Find the volume of a sphere if
3
the radius is 12.5 cm. Round your answer to the nearest cm.

Answers

Use this lin to find your answer http://ldh.la.gov/

4.

Find the slope of the line.


A. 2/3
B. 3/2
C. -2/3
D. -3/2

Answers

Answer:

B 3/2

correct if I'm wrong

Answer:

B. 3/2

Step-by-step explanation:

Complete the equations below. please please

Answers

Answer:

364 hundredths÷7

Step-by-step explanation:

3.64=364/100= 365 hundredths

0.07428571428571. You have to divide the first numbers then put a zero on the end and then divide by 7

can someone help me with this one 2x2-18=0

Answers

Answer:

-14

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2x-18=0

2x=18 /:2

x=9

Guys pls help me!!!!!!

Answers

Answer:

Horizontal lines have no vertical change -- it continues straight left or right. In other words, the change in the y values between any points on the graph is 0, since there is no change. This means that the slope of a horizontal line is 0

Step-by-step explanation:

hope this helps

Answer:

0

Step-by-step explanation:

The line's slope remains constant throughout, its a line that passes through the y - axis therefore it's slope will be 0.

Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.​

Answers

Her brother is 9.

Because she is 3 years older than half his age, subtract 3 - 21. This gives 18. Then divide 18 / 2. This gives 9.

The equation that represents Genevieve's brother is y = 18/2.

What is the equation that represents Genevieve's brother age?

The equation that represents Genevieve's age:

21 = 3 + 2Y

Where Y represents Genevieve's brother age

In order to determine the required equation, make y the subject of the formula

21 - 3 = 2y

18 = 2y

y = 18/2

To learn more about linear functions, please check: https://brainly.com/question/26434260

i need answer for 4 a)

Answers

I am pretty certain the answer is 3.04. If you need any further explanation just ask!

Answer:

4a). 0.52

Step-by-step explanation:

-2(-5.2) × 0.1÷2= 0.52

Pls help?!?!? With this

Answers

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|

Answers

Answer:

|8|a + |35|     or      = |-8|a+|-35_|

Step-by-step explanation:

8(a+5)=8•a+8•5

         =8a+35

         = |8|a + |35|     or      = |-8|a+|-35_|

1. Find the AREA of the circle.

Answers

Answer:

Step-by-step explanation:

If you leave π as π, it should be 169π square feet

If you do π as 3.14, it should be 530.66 square feet.

If you do π as 22/7, it should be 531 1/7 square feet.

Hope that helps! :)

8th grade math simple help

Answers

Answer:

1) x = 30

2) x = 11.6

Step-by-step explanation:

1) 2x = 4x - 60   (vertical angles are equal)

subtract 4x from each side of the equation:

-2x = - 60

divide both sides by -2:

x = 30

2) 7x + 16 + 3x + 48 = 180°   (supplementary angles add up to 180°)

combine like terms:

10x + 64 = 180

subtract 64 from both sides of the equation:

10x = 116

divide both sides by 10:

x = 11.6

6 1/2 x 3 1/3 x 2

what’s the volume?

Answers

Answer:

1891 /3

Step-by-step explanation:

a runner ran 2/3 of 5 km race in 21 minutes how long does it take to run the entire race

Answers

Answer:

31.5 min

Step-by-step explanation:

you divide 21 in hald to get 10.5 which is 1/3 to multiply by 3 for a whole race getting 31.5

someone please help me answer this question

Answers

Answer:

10. $33.5, c=3.50r+9

11. $51

Step-by-step explanation:

solve for the variable b -1/2 ( b - 6 ) =6

Answers

Answer:

56

Step-by-step explanation:

Answer:

b=6

Step-by-step explanation:

b-1/2(b-6)=6

b-1/2b+3=6

2b-b+6=12

b+6=12

b=12-6

b=6

Daniel has 54/3 CUPS of ice in the ice maker to use to make smoothies for his friends. He uses 2/3 of ice for each smoothie. How 3 cups many friends can have a smoothie?

Answers

Answer:

27

Step-by-step explanation:

i might be wrong if I'm wrong try 9 as the answer

Answer:

i think 9 i might be wrong

Step-by-step explanation:

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.


Find the circumference and the area of circle with diameter 6ft. Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.

Circumference:

Area:

Answers

Answer:

Area: 28.26ft², Circumference: 18.84ft

Step-by-step explanation:

Area of a circle: πr²

Circumference of a circle: πd (or 2πr)

Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:

πr²

π(3)²

π(9)

9(3.14)

28.26ft²

Our circumference is:

πd

π(6)

6(3.14)

18.84 ft

Find the output y when the input x is -4
y=?

Answers

Answer:

[tex]y=1[/tex]

Step-by-step explanation:

on the graph find the x value -4 then find the y value where the line is.

Answer:

y = 1

Step-by-step explanation:

taking x as - 4

plotting it on a graph and cross pointing from hence the y will be like a straight line before it came down to -4

Nancy has to find the reflection of a point across both the x- and the y-axes. Using what you've learned so far about reflections across the x-axis and reflections across the y-axis, can you come up with a rule for what happens to the signs when you reflect a point across both axes?​

Answers

Answer:

Step-by-step explanation:

All she needs to know is that  a reflection across the x-axis is when the x coordinate stays the same and the y-coordinates change.

Hope this helped.

Answer:

To find the reflection of a point across the x-axis and the y-axis, change the signs of both the x-coordinate and the y-coordinate.

Step-by-step explanation:

!!edmentum answer!!

Josh's soccer team had a competition to see which player should be the goalie. Each player tried to block 15 kicks from entering the goal, and the coach recorded the number of successfully blocked kicks. Josh made a dot plot to display the information. What is the interquartile range for the data?​

Answers

Answer:







Explanation








I am having problems sorry if you can’t see it let me know if you can’t see it

Answer:

sup

Step-by-step explanation:

hey

Determine the solution to the following system of equations.

y = -2x2 + 4x + 8
y = -4x + 16

Answers

Answer: (2, 8)

Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.

Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.

Therefore, the solution to the given system of equations is (2,8).

The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = - 2x² + 4x + 8

⇒ y = - 4x + 16

Now,

Since, The system of equations are,

⇒ y = - 2x² + 4x + 8  ..(i)

⇒ y = - 4x + 16     ..(ii)

Substitute the value of y from (ii) in equation (i), we get;

⇒ - 4x + 16 = - 2x² + 4x + 8

⇒ - 2x² + 4x + 8 + 4x - 16 = 0

⇒ - 2x² + 8x - 8 = 0

⇒ - x² + 4x - 4 = 0

⇒ x² - 4x + 4 = 0

⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1

⇒ x = 4 ± √16 - 16 / 2

⇒ x = 4 / 2

⇒ x = 2

And, y = - 4x + 16

⇒ y = - 4 × 2 + 16

⇒ y = - 8 + 16

⇒ y = 8

Thus, The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

What is the growth (or slope) of the simplified equation??

Answers

Answer:i think its y+3x+8x-7

Step-by-step explanation:i dont have to explain

A rocket travels according to the equation h = - 4.9(t - 6)^2 + 182, How high was the rocket above the ground when it was fired?

Answers

i found the answers to your question.
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