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.

please mark brainliest.... hope you have a great day ! XD

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 explain btw it’s telling me to find the equation not the sum

Answers

Answer:

21+v=52

Step-by-step explanation:

Sum means the result of two numbers added together

Who can solve these three ??

Answers

1. X = 9
2. Y=16
3. Y= -1

Answer:

1) x = 9

2) y = 16

3) y = -1

Step-by-step explanation:

Do PEMDAS in reverse.

For every equation, your goal is to seperate the variable (x,y, or whatever letter) by itself.

1) 2x-7 = 11

Add 7 to both sides.

2x = 18

Divide both sides by 2.

x = 9

2) [tex]\frac{3}{4}y = 12[/tex]

Divide both sides by 3/4 (which turns into multiplying by 4/3).

Left side

[tex]\frac{3}{4}x * \frac{4}{3}\\\\\frac{3}{4}x * \frac{4}{3} = \frac{3*4}{4*3}x\\1x\\x[/tex]

Right side

[tex]12*\frac{4}{3}\\\\\frac{12}{1} *\frac{4}{3}\\\\ \frac{12}{1} *\frac{4}{3} = \frac{12*4}{1*3}\\\\\frac{48}{3} \\16[/tex]

3) 9(y+3) = 18

Remember do PEMDAS in reverse.

Divide both sides by 9.

y+3 = 2

Subtract both sides by 3.

y = -1

The question is in the picture

Answers

Since you’re dealing with a linear equation in slope-intercept form, we know the equation is going to be in the form of y=mx+b.

Therefore, we need to find the slope (“m”) of the line (change in y/change in x), which is rise/run. We also need to find the y-intercept (“b.”)

1.) (0, -3) (1, -1)
We took two points from the line to find the slope. We will use the 2 coordinate pairs to find the slope.

2.) m=(y2-y1)/(x2-x1)
This is the slope “m” formula.

3.) m=( -1+3)/(1-0)
Input the coordinate values into the formula. The +3 you see is due to -(-3)=+3.

4.) m=2/1
We simplified the above formula.

5.) m=2
By division.

We now have the slope or “m.” M=2. Therefore, the equation rises 2 units and runs 1 unit.

Now, finding the y-intercept:

The y-intercept or “b” is where the line intersects the y-axis. It is the starting point of a linear equation.

To find the y-intercept, we need to figure out what the output is when the input is 0. We can see on the table in the picture that with an input of 0, the output is -3.

Therefore, b=-3. This is because an input of 0 means that there is no movement on the x-axis, so we can determine where the where the linear intercepts the y-axis.

Therefore, the equation is y=2x-3, where m=2 and b=-3.

That’s the answer: y=2x-3

What is Prefix? ︎︎ ︎︎ ︎︎ ︎︎

Answers

a word, letter, or number placed before another.

In laissez-faire economics, what is the role of the government in the economy?

Answers

Answer:

In a laissez-faire economy, the only role of the government is to prevent any coercion against individuals.

Step-by-step explanation:

HOPE IT HELP

Nicole can run 4
laps in 2/5 hour.
How long will it
Hake her to run 5
laps?

Answers

Answer:

15 minutos or

⁵/¹⁰ hour......

Step-by-step explanation:

ñññññññññlñ

Answer:

1/2 hour

2/5=4

x=5

Then cross-multiply

4x=2

x=1/2

5x+3y=-16
-10x-3y=11
Find the solution

Answers

Answer: x = 3.2 + 0.6y

Step-by-step explanation: Simplifying

5x + -3y = 16

Solving

5x + -3y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

5x + -3y + 3y = 16 + 3y

Combine like terms: -3y + 3y = 0

5x + 0 = 16 + 3y

5x = 16 + 3y

Divide each side by '5'.

x = 3.2 + 0.6y

Simplifying

x = 3.2 + 0.6y

2x - 5 = 2x + 8 solving algebraically and graphically

Answers

I solved it in a algebraically way. Have a good day, and hopefully I did it right.

х
f(x)
o
Complete the table using the
function f (x) = 2(x + 2) + 4x.
16
10
94
TYPE ONLY NUMBERS
The number that goes with O is
The number that goes with 16 is
The number that goes with 10 is
The number that goes with 94 is

Answers

x= 0

f(0)= 2(0+2)+ 4(0)= 4

f(16)= 2(16+2)+ 4(16) = 100

f( 10) = 2(10+2) + 4(10)= 64

f(94)= 2( 94+ 2) + 4(94) = 568

Point L is located (5,-5) on the coordinate plane. Point L is reflected over y axis to create point L'. What ordered pair describes the location of L'?

Answers

Answer:

[tex](-5, -5)[/tex]

Step-by-step explanation:

To reflect a point over the y-axis is the same as flipping the sign of the x-value of the point.

So, point L reflect is [tex](-(5)), -5)=\boxed{(-5, -5)}[/tex].

decrease 475.29 by 2.1%

Answers

The answer is 465.30891

if f (x)=4x+1 and g(x)=x+3 find (g. g) (7)

Answers

10x+30 as gg(7) is g(7) * g(x)

Solve for x ... please help

Answers

Answer:

[tex]7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree[/tex]

help plzz ill gve brailiest

Answers

Answer:

The 2nd answer is the correct

Step-by-step explanation:

Hope this helps:)

solve for b: a= a+b+c/3

Answers

HERE YOU GOOOOO THIS IS THE CORRECT ANSWER HOPE THIS HELPED!

5250 marked down 15%

Answers

Answer:

4462.5

need 20 characters

Answer:4462.5

Step-by-step explanation:multiply 5250 by 15% (or 0.15), then subtract that # to get the answer.

5250 x 15% = 787.5

5250-787.5= 4462.5

I need help with this

Answers

Answer:

Step-by-step explanation:

PLEASE PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP

Answers

Answer: 116.16675

Step-by-step explanation:

hope this helps:)

Help please help me please

Answers

Answer:

Step-by-step explanation:

Find the sets of numbers to which
belongs.
Select all that apply.
D A. integers
B. irrational numbers
C. natural numbers
D. rational numbers
E. whole numbers
F.
real numbers

Answers

Step-by-step explanation:

a is the right answers to the same as the right

In your own words, describe how you would use construction tools to construct a perpendicular to a line. Explain as if you were teaching a Geometry newbie. Use vocabulary in your explanation. Give an example of how you could then prove the line you created was perpendicular to the original line.

Answers

Can u do it by yourself

What is the range of g?
y
9
7+
6
5
4
3
2
1+
t
-5 -4 -32
→
8 9
1
2 3
4
5 6
7
-2
-3
-4
-5
-6
-7

Answers

Answer:

[-1,5]

Step-by-step explanation:

all reals between -1 and 5

The Mad Hatter is ordering cups from Teacups

Limited, for his tea party. The Tescups, Limited catalog

prices cups according to the number of cups ardered. For

orders of 20 or fewer cups, the price is $1.40 per cup plus

$12 shipping and handling on the order. For orders of

more than 20 cups, the price is $1.10 per cup plus $15

shipping and handling

a) Create a piece wise function to describe the

price of cups

b) How much will it cost the Mad Hatter if he orders

20 cups?

Answers

a) The piecewise function is:

[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]

[tex]C(n) = 15 + 1.1n, n > 20[/tex]

b) Applying the piecewise function, it is found that it will cost $40.

A piecewise function is a function that has different definitions based on the input.

Item a:

20 or fewer cups, fixed cost of $12 for shipping plus $1.40 per cup. Thus, the first definition of the function for the cost of n cups is:

[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]

For more than 20 cups, price of $1.1 per cup plus a shipping and handling fee of $15. Then:

[tex]C(n) = 15 + 1.1n, n > 20[/tex]

Then, the piece-wise function is:

[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]

[tex]C(n) = 15 + 1.1n, n > 20[/tex]

Item b:

The cost of 20 cups is C(20).It is the first definition, which is valid for [tex]n \leq 20[/tex].

Then:

[tex]C(20) = 12 + 1.4(20) = 12 + 28 = 40[/tex]

It will cost $40.

A similar problem is given at https://brainly.com/question/24815096

You deposit $6500 in a savings account that has a rate of 9%. The interest is
compounded semiannually. How much money will you have after fifteen years?
Round to the nearest cent.

Answers

Answer:601.85

Step-by-step explanation:

express as trinomial (2x−3)(3x−3)

Answers

(2x-3)(3x-3) = 6x^2 - 15x + 9

Perform the indicated operations. 8/12÷11/15 • -1/4
A.-5/22
B.5/22
C.-11/90
D.11/90
Others:______

Answers

Answer:

A.-5/22

Step-by-step explanation:

[tex]\frac{8}{12} /\frac{11}{55} *-1/4 = -5/22[/tex]

plug it into a calculator.

Please tall me if you have any other questions.

Have a nice day! :-)

A shipping container will be used to transport several 150-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 28000
kilograms. Other shipments weighing 10300 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 150-kilogram crates that can be loaded into the shipping container.

Answers

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 6400 kilograms have already been loaded into the container.

Answer:

[tex]x<=118[/tex]

Step-by-step explanation:

We already have [tex]10300[/tex] kilograms, we will add [tex]x*150[/tex] kilograms, and we need it to be less than or equal to [tex]28000[/tex].

So, the inequality is [tex]150x+10300<=28000[/tex].

We can subtract [tex]10300[/tex] from both sides to get [tex]150x<=17700[/tex].

We then lastly divide by [tex]150[/tex] on both sides to get [tex]x<=118[/tex].

So, the answer is [tex]\boxed{x<=118}[/tex] and we're done!

Use the figure to find the measures of the numbered angles.

Answers

Answer:

∠3 = 95°

∠4 = 85°

Step-by-step explanation:

Angle 3 and the angle that is already given are Corresponding angles meaning they will be equal.

Angle 3 and Angle 4 are Supplementary angles so their degrees add up to 180°.

Hope this helps!

7x398 thats the questioni need you to answer hahah

Answers

answer is 2,786 if i’m correct.

Answer:

2,786

Step-by-step explanation:

You can make this easier by taking the expanded form of 398:

300 + 90 + 8

7 x 300 = 2100

7 x 90 = 630

7 x 8 = 56

Then add all these values together:

2100 + 630 + 56 = 2,786

Simplify 11 square root 1215

Answers

Answer:383.4

Step-by-step explanation:

Answer:

383.425351275

Step-by-step explanation:

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