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
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.
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)
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:
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)
find the area of the shaded region. round your answer to the nearest hundredth
Answers
Answer:
16 meters
Step-by-step explanation:
sana makatulong
which expression is equivalent to the problem shown?
Answers
............................
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
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
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%
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:
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
:)
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
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!
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
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.
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:
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!
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
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:
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]
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"
Help,No Links or i will report and i will give brainliest to first person who answers
Answers
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??
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 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
Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = - 8/17, x in Quadrant III
Answers
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]
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
Umm ... NO FILES/LINKS !!!