Answers
Answer:
[tex]\angle\ ABC=70[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\AB\ and\ AC\ are\ two\ equal\ chords\ on\ the\ circle\ ABC.\\ Let\ the\ center\ of\ the\ circle\ ABC\ be\ O.\\ Angle\ subtended\ at\ the\ Center\ of\ the\ circle\ by\ Chord\ AB\ is\ 110.\\Hence,\\Lets\ connect\ AC\ to\ form\ a\ triangle- \triangle ABC.\\Also,\\O\ forms\ the\ Centroid\ of\ \triangle ABC.[/tex]
[tex]By\ joining\ sides\ AO\ and\ OB,\ we\ obtain\ \triangle ABO.\\Hence,\\\angle BOA=110\ \\Now,\\Considering\ point\ C\ on\ Circle\ ABC,\ lets\ consider\ \angle BCA.[/tex]
[tex]We\ know\ that,\\'Angle\ subtended\ by\ a\ chord\ at\ the\ center\ is\ double\ the\ angle\\ subtended\ by\ the\ same\ chord\ at\ the\ respective\ arc\ of\ the\ circle'.\\Here,\\As\ BOA\ is\ an\ angle\ subtended\ by\ the\ chord\ AB\ at\ the\ center\ of\ circle\ ABC\\ while,\ BCA\ is\ an\ angle\ subtended\ by\ the\ same\ chord\ AB\ at\ the\ major\ arc\ of\\ the\ Circle\ ABC.[/tex]
[tex]Here,\\\angle BOA=2 \angle BCA\\Hence,\\Substituting\ \angle BOA=110,\\110=2*\angle BCA\\Hence,\\\angle BCA=\frac{110}{2}=55[/tex]
[tex]Now,\\We\ also\ know\ that,\\'Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too'.\\Here,\\In\ \triangle ABC,\\As\ BA=BC,\\\angle BAC= \angle BCA\\\\\therefore \angle BAC= \angle BCA=55[/tex]
[tex]The\ Angle\ Sum\ Property\ of\ a\ Triangle\ States\ that,\\'The\ Sum\ of\ all\ Interior\ Angles\ of\ a\ Triangle\ is\ 180.'\\Hence,\\As\ Polygon\ ABC\ is\ a\ triangle,\\\angle BCA +\angle BAC +\angle ABC=180\\Substituting\ \angle BCA=\angle BAC=55,\\55+55+ \angle ABC=180\\Hence,\\110+ \angle ABC=180\\Or,\\\angle ABC=180-110=70[/tex]
Related Questions
Calcule el décimo termino de una progresión geométrica que Los términos son 32 , 16 , 8 , 4 ................,
Answers
Respuesta:
1/16
Explicación paso a paso:
Dada la secuencia geométrica: 32, 16, 8, 4 ................,
El enésimo término de una progresión geométrica se obtiene mediante la relación:
enésimo término = ar ^ (n-1)
Dónde ; a = primer término = 32; n = enésimo término; r = razón común
r = a2 / a1 = a3 / a2
r = 16/32 = 8/16
r = 1/2
Por lo tanto, el décimo término:
n (10) = 32 * (1/2) ^ (10 - 1)
n (10) = 32 * (1/2) ^ 9
n (10) = 32 * (1/512)
n (10) = 32/512
n (10) = 1/16
Por lo tanto, el décimo término es 1/16
Umm ... NO FILES/LINKS !!!
Answers
find the area of the shaded region. round your answer to the nearest hundredth
Answers
Answer:
16 meters
Step-by-step explanation:
sana makatulong
Avery is solving the following equation.
-2[m - 2] = -6
Which equation is equivalent to Avery's equation?
A. – 2m + 4 = -6
B. Im - 2] = -3
C. 2m + 4 = 6
D. Im - 2) = 3
Answers
Answer:
A. – 2m + 4 = -6
Step-by-step explanation:
I should know. I did the question.
Which associations best describe the scatter plot?
Select each correct answer.
A. Nonlinear association
B. Negative association
C. Linear association
D. Positive association
Answers
Answer: i think hope this helps
Step-by-step explanation:
I think it is negative association.
Hope this helps!
A box contain 10 green pins 3 are blue and 7 are green. Two pins are randomly taken out of the box without replacement work out the probability that both pins are the same color
Answers
Answer:
[tex]P(Z)=\frac{8}{15}[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=10[/tex]
Green pins [tex]x=7[/tex]
Blue pins [tex]y=3[/tex]
Generally the probability of getting two green is mathematically given by
[tex]P(2X)=\frac{7}{10}*\frac{6}{9}[/tex]
[tex]P(2X)=\frac{7}{15}[/tex]
Generally the probability of getting two blue is mathematically given by
[tex]P(2Y)=\frac{3}{10}*\frac{2}{9}[/tex]
[tex]P(2Y)=\frac{1}{15}[/tex]
Therefore the probability that both pins are the same color P(Z)
[tex]P(Z)=P(2Y)+P(2X)\\P(Z)=\frac{7}{15}+\frac{1}{15}[/tex]
[tex]P(Z)=\frac{8}{15}[/tex]
Sophie surveyed 30 random students in her school and 18 said they enjoy watching baseball. A total of 1,050 students are in the school. How many of these are EXPECTED to enjoy watching baseball? *
Answers
Answer:
630 people
Step-by-step explanation:
Ratios:
[tex]\frac{18}{30} =\frac{x}{1050} \\\\30x=18900\\x=630[/tex]
The sum of the measures of two angles is 90° one angle has a measure of 32.8° the other angle is represented by X what is the measure of the second angle
Answers
Answer:
x = 57.2
Step-by-step explanation:
Equation:
32.8 + x = 90
x = 90 - 32.8
x = 57.2
which expression is equivalent to the problem shown?
Answers
............................
list all the equivalent fractions for the 12/20
Answers
Answer:
6/10
9/15
12/20
Step-by-step explanation:
Answer: 6/10, 3/5
Hope it helps!
Help,No Links or i will report and i will give brainliest to first person who answers
Answers
Four out of 25 people are left-handed. In a school of 400 people, how many would you expect to be
left-handed
Answers
Answer:
devide the 25 out of 400 and then devide what is left and then... u get the answer
Step-by-step explanation:
Answer:
64 would be left handed
Step-by-step explanation:
16 times 4 is 64
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answers
Answer:
-7.6
Step-by-step explanation:
Find the measure of X from the circle below:
Answers
Answer: it looks like about 180 degrees
Step-by-step explanation:
sorry if wrong can you help me if right please
What is the answer to this question?
Answers
Answer:
$608.33 or $608.32645 not rounded
Step-by-step explanation:
A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5
A=500(1+0.04/1)^1x5
A=500(1.04)^5
A=500(1.2166529)
A=608.32645
Salma made 378 for 18 hours of work.
At the same rate, how much would she make for 5 hours of work?
Answers
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
Step-by-step explanation:
Milly bakes cookies to sell for a fundraiser. her goal is to raise $500. the first day she reaches 3/8 of her goal. on the second day she reaches 50% of the remaining money to meet her goal. how much money does milly still need to reach her goal?
Answers
Answer:
312.50
Step-by-step explanation: 3/10 of 500 is 187.5 so subtract that with 500 and you will get 312.50
how do I find the value of a in 30=5a
Answers
Answer:
a = 30/5 = 6
Step-by-step explanation:
Answer:
a = 6
Step-by-step explanation:
You need to try to get "a" alone.
So, since the equation shows a is being multiplied by 5, you need to divide it by 5 to get "a" alone.
Whatever you do to one side, you must do the same to the other side.
So basically, you divide both sides by 5 to find "a"
helpppppppp pleaseeeeee
Answers
Answer:
7a + b - 16c
Step-by-step explanation:
So we have
7a-3b+c-8c+4b-9c
When it comes to problem like these, you need to combine like terms.
There's only one 'a' number, so that one remains the same.
Next, we have -3b and 4b. (-3b+4b)= b
Finally, there's (c-8c-9c).
(-8c-9c)= -17c
Take that and add the positive 'c' to it.
(-17c+c)= -16c
Put it all together now to get:
7a + b - 16c
I hope that helped and helped you understand at least a little
:)
John mows 3 of his neighbors yards for $20 a yard. How much money did he make?
Answers
Answer:
60
Step-by-step explanation:
Answer:
The answer is $60
Step-by-step explanation:
If each yard earns John $20, and John cuts 3 yards, then John earns $60.
3 • 20 = 60
someone help me with this please
Answers
Graph 2: parallel
Graph 3: neither
Graph 4: neither
I am so sorry if I'm wrong.
Brainliest would be nice.
Have a good day:)
(more like night LOL)
Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = - 8/17, x in Quadrant III
Answers
Find the volume of the sphere
I NEED HELP!!!
Answers
Explanation
To find the volume here is the formula
(4/3 x pie x radius cubed)
Since they give you the diameter then just half it (6)
(4/3 x pie x 216)
The measure of an angle is 83.4°. What is the measure of its supplementary angle?
Answers
Answer:
The supplementary angle is 96.6.
Step-by-step explanation:
Complementary angles make up to 90 degrees, but since this is a supplementary angle, it'll make up to 180 degrees. From there, you subtract 180-83.4 to get 96.6 degrees.
The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x
Answers
Answer:
x = 3 is the answer :)
hope this helps
Brain Teaser! Will be posting till I run out! Winner gets a brainliest!
Question: Find the area of the red triangle.
Answers
Answer:
i tried
Step-by-step explanation:
im suppose to be gifted... it took me 20 minutes and im in 9th grade RIP, but is it 9??
Rectangle ABCD is translated to form the image A'B'C'D'.
What are the new coordinates of point D?
Answers
Answer:
i think its (6,4)
Step-by-step explanation:
Jim wants to make a 4 letter password. He cannot repeat any letters in his password.How many combinations can he make
Answers
My previous answer was incorrect, sorry for that... the correct answer would be 358,800
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{He has 26 letters all together (A - Z)}[/tex]
[tex]\large\text{25 if he starts from his second letter (B - Z)}[/tex]
[tex]\large\text{24 if he starts from his third letter (C - Z)}[/tex]
[tex]\large\text{ 23 if he starts from his fourth letter (D - Z)}[/tex]
[tex]\mathsf{26\times25\times24\times23}[/tex]
[tex]\mathsf{26\times 25 = \bf 650}[/tex]
[tex]\mathsf{650\times24\times23}[/tex]
[tex]\mathsf{650\times24 = \bf 15,600}[/tex]
[tex]\mathsf{15,600\times 23}[/tex]
[tex]\mathsf{ =\bf 358,800}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 358,800}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold
Answers
Answer:
whats the question
Step-by-step explanation:
David's earnings recently changed from $5500 to $6325. By what percent did the earnings change?
Answers
Answer: In percentage, the answer is 115%
Step-by-step explanation: if you want to find the rise, just simply divide 5500 from 6325, or 6325/5500. You will get 1.15 but converted to percentage, that is 115%