In the figure, 'O' is the centre of the circle, ZABO= 20°and ZACO= 30°, where
A, B, C are points on the circle. What is the value of x ?
120
Answers
Given:
Consider the below figure attached with this question.
[tex]\angle ABO=20^\circ[/tex]
[tex]\angle ACO=30^\circ[/tex]
To find:
The value of x.
Solution:
Draw a line segment OA as shown below.
In triangle ABO,
[tex]OA=OB[/tex] [Radii of same circle]
[tex]m\angle BAO=m\angle ABO=20^\circ[/tex] [Base angles of an isosceles triangle]
In triangle ACO,
[tex]OA=OC[/tex] [Radii of same circle]
[tex]m\angle CAO=m\angle ACO=30^\circ[/tex] [Base angles of an isosceles triangle]
Now,
[tex]m\angle BAC=m\angle BAO+m\angle CAO[/tex]
[tex]m\angle BAC=20^\circ+30^\circ[/tex]
[tex]m\angle BAC=50^\circ[/tex]
Central angle is always twice of angle subtended by two points on the circle.
[tex]m\angle BOC=2\times m\angle BAC[/tex]
[tex]x=2\times (50^\circ)[/tex]
[tex]x=100^\circ[/tex]
Therefore, the value of x is 100°.
Related Questions
how to find a perimeter of a triangle
Answers
Answer:
To find the perimeter of a triangle, add all the side lengths
Step-by-step explanation:
Gwen is going to Turkey. The exchange rate is £1 = 5.8427 lira. She changes £424 to lira. How
many lira will she get to the nearest lira?
Answers
______________________________
= £424 × 5.8427lira= 2,477.31 liraGwen Will Get 2,477.31 lira______________________________
SHOW WORK please and thank you
Answers
Solve this system by Elimination 2x+y=2
4x+2y=-4
Answers
Answer:
x= 1 - y/2
Step-by-step explanation:
1. Subtract y from both sides. 2x=2−y
2. Divide both sides by 22.
x=\frac{2-y}{2} x= 22−y
3. Simplify \frac{2-y}{2}
22−y to 1-\frac{y}{2}1−2y. and there u get ur answer x=1−2y
this is for "2x+y=2" btw hope this helped!
The expression (x-4)² is equivalent to... (btw this is about polynomials and all that)
Answers
Answer:
the answer is 8-2x
Step-by-step explanation:
The product of 5 and x is at least 25
Answers
Answer: 5n≥25 and if you divide 5 on both sides, n≥5 (I don't know if you are supposed to solve or simply put it in the equation form).
Step-by-step explanation:
Simplifying rational exponents
1) a^-8/5
2) (9b^4)^2/3
3) (8x^5)5/7
PLEASE I NEED HELP!!!!!!
Answers
Answer:
1/a^8/5 for the first, 9b^8/3 for the second, and 8x^25/7 for the third
Step-by-step explanation:
1) With neg exponents, you can just take it and flip it, and make the exp pos i.e. 1/a^8/5
2) When there is an exponent outside of parenthesis of a number with an exponent, you multiply the exponents together i.e. 9b^8/3
3) The same applies to this as the 2nd, we just multiply to get 8x^25/7
Urgent please help..
Answers
Answer:
x ≈ 7.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify
Angle θ = 37°
Opposite Leg = x
Adjacent Leg = 10
Step 2: Solve for x
Substitute in variables [tangent]: tan37° = x/10[Multiplication Property of Equality] Multiply 10 on both sides: 10tan37° = xRearrange equation: x = 10tan37°Evaluate: x = 7.53554Round: x ≈ 7.5Consider the Pareto chart, which shows the number of student blood donors by their type for one day of a campus blood drive. How many students donated blood on that day?
Answers
Question attached
Answer:
130
Step-by-step explanation:
Number of students old donors can be calculated from the Pareto chart by adding number of blood donors on the different bars:
Type 0= 50
Type A= 35
Type B =30
Type AB =15
Therefore 50+35+30+15=130 blood donors
Select the Characteristics of the graph .. Asap
Answers
Write two numbers that multiply to the value on top and add to the value on bottom.
-90
27
Answers
Answer:
30 and -3
Step-by-step explanation:
In which intervals is the function increasing?
(5)
(3)
(4)
(2)
(1)
A Interval 1
B. Interval 2
OC. Interval 3
O D. Interval 4
E. Interval 5
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Answer:
big deal with it is so beautiful I don't think so much more then we have been so long q and I don't think so much for your eyes and hindi movie with me and my family is not going anywhere else is not good for you think about it is so beautiful much as you can do it is not going anywhere I don't think so beautiful I was in my way I was a good day and night and night w w what we were with a week or so I can get you
Step-by-step explanation:
skyline of the day is not even w my phone is a great time with we we are not a good day and night and we will be on your face and we were with what w my heart is not going to be a good day for you think about what they do not have to do is not going to be in the world up to be a good day for me to be area and and and and and and and and and and and I am a very happy birthday party and hindi movie and hindi song I am not going anywhere else to get
Does anyone know any 7th grade math? cus i really need help with this.
Answers
Answer:
B
Step-by-step explanation:
All we have to do is plug in the values! 1/2(4)(10+5) will give us the area. Now we simplify!
2(15) = A
30=A
Our answer is B!
2multiplied by 6y + 3y divided by 3
Answers
Answer and Step-by-step explanation:
= 2×6y+3÷3
= 12y+3÷3
= 15y÷3
= 5y
Hope it help you mark as BrainlistGuys please help me which one is the correct answer.
Answers
Answer:
I think 3 terms
I hope it's helps you
Answer:
2
Step-by-step explanation:
the letters count as term basically
PLEASE HELP I HAVE BEEN TRYING TO FIGURE THIS OUT FOR 4 HOURS AND 15 MINUTES
Answers
Answer:
1. C) 3
2. D) -1
3. D) 7^2 - 8*2 - 16
4. B) 75
5. B) 6^2 + (2 - 8)*sqrt(81)
Step-by-step explanation:
1. (10 - (6-4)^2)/2
= (10 - 2^2)/2
= (10 - 4)/2
= 6/2
= 3
2. PEMDAS states that Multiplication is before Subtraction
8 - (5^2-7)/2
= 8 - (25-7)/2
= 8 - 18/2
= 8 - 9
= -1
3. D) 7^2 - (8*2) - 16
= 49 - 16 - 16
= 49 - 32
= 17
4. 3(2 + 3)^2
= 3(5)^2
= 3(25)
= 75
5. 6^2 + (2 - 8)*sqrt(81)
= 36 + (-6*9)
= 36 - 54
= -18
leo reads 13 pages 1/3 hour. What is the unit rate for pages per hour? For hours per page?
Answers
Answer:
33%
Step-by-step explanation:
The circle graph represents the after-tax budget for the Williams family. If the total monthly budget is $3750, which is the best estimate for the food budget?
A: $625
B: $1250
C: $937.50
D: $468.75
Answers
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Answers
Answer:
a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.
b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.
Remember: Speed=Distance/TimeFind the value of x. Round to the nearest tenth.
Answers
Answer:
I think it's 16
Step-by-step explanation:
Answer:
answer is 102
Its the rule no matter what all triangles equal 180.
Step-by-step explanation:
all triangles equal 180
HELP ME PLEASE!!!
Apply dilation (x,y) ---> (2/3x, 2/3y) to A(6,-3) B(3,-3) C(0,0)
Please find new coordinates
Answers
Answer:
(4,-2)
(2,-2)
(0,0)
Please let me know if I was right and good luck
Shannon is making a pile of square origami paper, whose sides are measured as 4n + 3. Form an expression that is equivalent to the perimeter of one sheet of the origami paper. Be sure to show the steps taken to produce your expression.
Answers
Answer:
16n+12
Step-by-step explanation:
If all four sides measure 4n+3, then the perimeter is 4 times the length of each side. 4(4n+3) = 16n + 12 = perimeter
What's 100 divided by 42
Answers
Answer:
Can you help me? It's worth one hundred points. https://brainly.com/question/21042823
Step-by-step explanation:
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A car purchased in 2014 was worth $21,000. It has depreciated at an annual rate of 8.5%. what will its value be in 2021?
Round answer to the nearest penny (100th)
Answers
Answer: The value of the car in 2021 will be $11,276.31.
Step-by-step explanation:
If r is the depreciation rate and P is the initiial amount , then the amount after t years is given by:-
[tex]A=P(1-\dfrac{r}{100})^t[/tex]
Given: P=21000, r=8.5% , t= 2021-2014= 7
Plug all the values in the formula, we get
[tex]A= 21000(1-\dfrac{8.5}{100})^7\\\\\Rightarrow\ A=21000(1-0.085)^7\\\\\Rightarrow\ A= 21000(0.915)^7\\\\\Rightarrow\ A= 21000(0.5369670)\approx11276.31[/tex]
The value of the car in 2021 will be $11,276.31.
Kirk earns $16 for each hour of dog walking. After a total of 3 hours of walking dogs, how
much money will Kirk have earned?
Answers
Answer:
48
Step-by-step explanation:
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Answer:
mhhh
Step-by-step explanation:
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Hope this helped :)
use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x+3)(x+2)(x-1)
Answers
Answer:
could you show the graphs???????? ig u missed them to attach
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Answer:
Neither
Step-by-step explanation:
Triangles are similar if their angles are the same, and if the sides are changed by a proportional ratio. The angles for FED and ZXY are not the same. Therefore, they are not similar
Answer:
D. Neither
Step-by-step explanation:
Similar triangles are scaled versions of each other. Two triangles that are similar will have congruent angles. Hence, to find a triangle that is similarto ABC, the angles of the other triangles will be congruent to the given angles of ABC. As one can see, no other triangle has congruent angles to ABC, and hence the answer is D, neither of the two triangles are similar to ABC.
What is the solution to this system of
equations?
S 2x – 3y = -4
-6x + 9y = 12
Answers
Answer:
2x-3y=-4
2x=3y-4
x=(3y-4)/2........1
-6x+9y=12
9y=12+6((3y-4)/2)
9y=12+9y-12
9y-9y=12-12
0=0not possible
9y-6y=4
y=4/3
Step-by-step explanation:
check it out a question once