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 .
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
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
what is 52x – 9x + 123 = -143.6
The lenght of a turtles shell z, in millimeters, is related to the turtles age in years a , as described by the equation below.
s=55a+37
Which statements about the turtle are true?
Select 3
Answer:
B, C , F
Step-by-step explanation:
The age multiplied 55, so the shell grows at rate of 55mm per year
in fact if the age is 2 we have (55 x 2) = 55 + 55
if 3 = (55 x 3) = 55 + 55 + 55
and so on
When the turtle is hatched the shell is 37 mm in lenght.
In fact, if we substitute 0 to a, we have
s = (55 x 0) + 37
s = 37
when the turtle is 1 year old, the shell is 92 mm in length.
in fact if we substitu a with 1, we have
s = (55 x 1) + 37
s = 55 + 37
s = 92
ANYBODY?!?!! HELPPP PLEASEEE!
egyuyeyuehebdfhvgebfjhaifhldan dhsgojkna jbhope
Simplify the expression.
And could you explain how you got that answer please. Thanks
Answer:
125e^12x
Step-by-step explanation:
5^3*(e^4x)^3
5^3=125
(e^4x)^3=e^12x
125e^12x
solve the triangle give the measure of y
Given:
In triangle [tex]BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ[/tex].
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle BGU,
[tex]\tan B=\dfrac{GU}{BU}[/tex]
[tex]\tan 44^\circ=\dfrac{7}{y}[/tex]
[tex]0.966=\dfrac{7}{y}[/tex]
Isolating y, we get
[tex]y=\dfrac{7}{0.966}[/tex]
[tex]y=7.2463[/tex]
[tex]y\approx 7.2[/tex]
Therefore, the correct option is A.
find the circumference of a circle with an area of 1,134.11
Answer:C=2πA=2·π·1≈3.54491
Step-by-step explanation:
Answer:
119.32
Step-by-step explanation:
The formula for the area of a circle is:
A = πr², where π = 3.14 and r = radius
The formula for the circumference of a circle is:
C = 2πr, where π = 3.14 and r = radius
So, in order to solve for circumference, you need to solve for 'r'. Using the formula for area:
1134.11 = πr²
Divide by π (3.14): 1134.11/3.14 = πr²/3.14 or 361.2 = r²
Take the square root of both sides: √361.2 = √r² or r≈19
Use the value of r = 19 to solve for circumference:
C = 2π(19) = 2(3.14)(19) = 119.32 meters
HELP ME PLS! ASAP 10 POINTS FOR THIS ONE & THE NEXT ONE!!!!!! ❗️
in 6 hours heather reads 30 chapters of a book what is her rate in chapters per hour
Answer:
5 chapters per hour
Step-by-step explanation:
30chapters/6hours = 5 chapters/hour
Please I need help ASAP 40. Points
Total owed = starting amount x( 1 + interest rate) ^ time
The equation would be total = 550(1.12)^x where x is the number of months.
Replace total with 550x2 = 1100 and solve for x
It will double in 6.11 months. Round to 6 months
Suppose the TRMS basketball team scored 78 points by 2-point and 3-point baskets only. If 35 total baskets were made, how many 2-point and 3-point baskets were scored?
Answer:
the number of 2 point and number of 3 point be 27 and 8 respectively
Step-by-step explanation:
Let us assume the number of 2 point be x
And, the number of 3 point be y
Now according to the question
2x + 3y = 78
x + y = 35
Multiply by 2 in equation (2)
2x + 3y = 78
2x + 2y = 70
y = 8
So,
x = 35 - 8
= 27
Hence, the number of 2 point and number of 3 point be 27 and 8 respectively
Please help me!! I will mark brainliest! Explain!!!
Answer:
[tex]ratio \: = 3 \: to \: 5 \\ thus \: if \: 3 = 15 \\ then \: 5 = \frac{15 \times 5}{3} = 25[/tex]
Solve for missing value
Simplify. Assume that a and b are positive integers and that ab and a>2.
(a+b)!
(a+b-1)
Answer:
Step-by-step explanation:
a+b I think
32 is 4 more than twice a
number. What is the number?
Answer:
The number you are looking for is 14.
FREE PTS! Who is your favorite character? (can be fictional or a real person)
Answer:
Yay!!!! Ty for the points!!!!!!!!!!!
I don't have a fav character....I luv BTS - they r real!!!
Se tienen cuatro libros de Matemáticas, tres Biología y tres Religión ¿De cuántas maneras diferentes se pueden ordenar todos los libros en línea recta?
Answer:
4,200
Step-by-step explanation:
Tenemos un total de:
4 libros de matemáticas
3 libros de biología
3 libros de religión
10 libros en total.
Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.
Primer libro (tenemos 10 opciones)
segundo libro (tenemos 9 opciones, porque ya colocamos un libro)
tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)
Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:
C = 10*9*8*7*6*5*4*3*2*1 = 10!
Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.
Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.
Entonces el número total de combinaciones diferentes es:
[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]
Hay 4200 diferentes formas de ordenar los libros.
The sum of brian's and rihanna's ages is 41. The difference between two times brian's age and rihanna's age is 13. How old is rhianna
Answer: 13?
Step-by-step explanation:
I need help under standing
pls answerrrerrrrrrrr
Answer:
x = 5 or -1
We reject the second answer of x = -1
This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable
So our only correct answer here is x = 5
Step-by-step explanation:
From the logarithmic rules;
log a - log b = log (a/b)
Applying this here, we have;
log4(x^2-4/4x+ 1) = 0
(x^2-4)/(4x+ 1) = 4^0
(x^2-4)/(4x + 1) = 1
x^2 -4 = 1(4x + 1)
x^2 -4 = 4x + 1
x^2 - 4x -4-1 = 0
x^2 -4x -5 = 0
x^2+ x -5x -5 = 0
x(x + 1) -5(x + 1) = 0
(x-5)(x + 1) = 0
x = 5 or -1
PLEASE ANSWER QUICKLY!
How do I graph this?? I think the range is all 4 because there is not constant ratio but help me to graph it please.
Answer:
X=-2 y=1/16
X=-1 y=1/4
X=0 y=1
X=1 y=4
X=2 y=16
Don't mind the ones in the negative when plotting just keep them in mind and use the bigger numbers, since the scale is big
Step-by-step explanation:
When putting a negate power you just inverse the equation while keeping the power the same and only changing the sign
i.e: 4^(-3)=1/4³
Please help! If you do I'll mark your answer 'Brainliest' and you will get 57 points!
Answer:
your answer is A.
Step-by-step explanation:
1280%20=256
256 x 45=115.20
hope this helps<3
0.73 recurring can be writeen as 11/15
Answer:
yes , see explanation
Step-by-step explanation:
We require 2 equations with the recurring 3 placed after the decimal point.
let x = 0.7333.. ( multiply both sides by 10 and 100 )
10x = 7.333... → (1)
100x = 73.333.... → (2)
Subtract (1) from (2) , eliminating the recurring 3
90x = 66 ( divide both sides by 90 )
x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]
Can someone please help me with question 5?
I need REAL Help
Answer:
Step-by-step explanation:
the slope is uphill.. so we know it's positive
I can also see that that it's 1 up and 1 over so the slope is 1
the line also hits at -9 on the y axis
so
y = x - 9
The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2). What are the coordinates of P'? P'(1, 2) P'(1, 1) P'(1, –3) P'(4, 4)
Answer:
(1, -3)
Step-by-step explanation:
If the point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).
To get the coordinate of P', we will replace x as 6 and y as -1 in the translation given as shown
Coordinate of P' = (6 -5, -1, -2)
Coordinate of P' = (1, -3)
hence the coordinate of P' is (1, -3)
Answer:
p'(1 -3)
Step-by-step explanation:
What percent of 12 is 9?
A. 25%
B. 67%
C. 75%
D. 108%
E. 133%
Answer:
75%
Step-by-step explanation:
75% = 3/4
3/4 * 12 = 9
I NEED HELP RIGHT NOW PLEASE HURRY. IF YOU DONE KNOW PLEASE DONT ANSWER
Answer:
B. 31/108
Sorry for no explanation I used a calculator to do this question
Hope this helps!
what is equal to 6 ft 12 inches
Answer: 7 feet
Step-by-step explanation: :D
Element X decays radioactively with a half life of 15 minutes. If therd are 230 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 33 grams?
Answer: 42 minutes
Step-by-step explanation:
What is the volume of a rectangular prism that has a height of 2 inches a width of 2 and 1/2 inches and a length of 5 and 1/2 inches?
Answer:
V = 27.4 in^2
Step-by-step explanation:
Converting to mixed numbers with fractions in decimal format makes this problem easier. 2 1/2 inches is the same as 2.5 inches; 5 1/2 inches is 5.5 inches.
The volume formula is V = L*W*H.
Here, V = (5.5 in)(2.5 in)(2 in), or 27.4 in^2
If it takes 4 jugs to water 15 plants, how many plants can you water with 12
jugs?
Answer:
31.2
Step-by-step explanation:
Divide 4/15= 2.66
12x2.6= 31.2
This might be wrong..