Make a conjecture. Let points A and B stay in the same
position. What would happen to the angle formed if the
vertex of angle AOB was moved from the center to point
C, which lies on the circle?
The measure of angle ACB is
the
measure of angle AOB.
Answers
Answer:
✔ less than
Step-by-step explanation:
The measure of angle ACB is less than the measure of the angle AOB.
GIven,
Making the conjecture.
What would happen to the angle formed if the vertex of angle AOB was moved from the center to point C, which lies on the circle is to be justify.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r². where h, k is the coordinate of the circle's center on coordinate plane and r is the circle's radius.
Here, there is a property of pair of lines,
when two lines intersect each other they hold some angle of intersection with each other, when the angle of intersection increases, assuming a point says the point of intercession getting close to the points then angle of the intersection will increase. If the point of intersection gets far away from that point, the angle of the intersection will decrease.
Similarly, in the given problem point O is close to the arc AB than C. Implies Angle ACB is smaller than Angle AOB.
Thus, the measure of angle ACB is less than the measure of the angle AOB.
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Related Questions
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would
it take 3 gardeners?
Enter your answer
Question 7 is an example of...
Direct proportion
Inverse proportion
Answers
Answer:
it will take 12 hours
Step-by-step expl
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answers
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.
Answers
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
For which points is the y-coordinate greater than -3
Answers
Answer:
d,c,a
Step-by-step explanation:
guess it helps
1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?
Answers
Answer:
84.85cm
Step-by-step explanation:
Let the sides of the square be x
The perimeter of the square = 4x
Get x using the pythagoras theorem
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
x = 21.21cm
Perimeter of the plate = 4(21.21)
Perimeter of the plate = 84.85cm
rite an equation in standard form of the circle with the given properties.
Center at the origin; r = square root 6
Answers
Answer:
x² + y² = 6
Circle Center at the origin; r = square root 6
(x - 0)² + (y - 0)² = (✓6)²
x² + y² = 6
2 One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.229
0.167
0.031
0.063
Answers
Answer:
C
Hope that helps!
Step-by-step explanation:
the intersection of parallel lines b and c and transversal line d form several special angle relationships. which pairs of angles and vertical angles?
Answers
Answer:
I think angel 2 and angle 3
and angel 5 and angle 8
are the pairs of vertical angle.
hope it helps.
The probability that it rains in London on any particular day is 0.3.
If it rains then the probability of it raining the following day decreases to 0.15.
Consider the next two days.
What is the probability it rains on both days?
Answers
Answer:
Day 1=0.075
Day 2=0.0375
Step-by-step explanation:
Divide each day by 2
The probability it rains on both days if the probability that it rains in London on any particular day is 0.3 is 0.595
What is the probability?The probability is the likeliness of happening an event. It can be calculated by using the following formula:
Probability=Number of events/Number of total outcomes
How to calculate the probability?
The probability that it rains in London on any particular day is 0.3
If it rains then the probability of it raining the following day decreases to 0.15.
The probability that it rains on the second day=1-0.15=0.85
The probability that it rains on the third day=0.85-0.15=0.7
The probability that it rains on both is=0.85*0.7=0.595
Hence the probability that it rains on both is 0.595
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Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $40.00 before tax?
Answers
Answer:
She would pay $2.80 in sales tax.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?
$2.52 - $36.00
x - $40.00
Applying cross multiplication
[tex]36x = 40*2.52[/tex]
[tex]x = \frac{40*2.52}{36}[/tex]
[tex]x = 2.8[/tex]
She would pay $2.80 in sales tax.
A tree casts a shadow 72 feet long. At the same time, a man who is 6 feet tall casts a shadow 8 feet long. What is the height of the tree? *
QUICK PLS
Answers
Answer: 54 feet.
Step-by-step explanation:
Ratio between a tree's height and its shadow's length = x : 72ft
Ratio between man's height and his shadow's length = 6ft : 8ft = 3 : 4
In order to solve this problem, we have to cross multiply the two ratios (image)
So, 4x = 216.
By solving this equation we learn that x = 54ft
So, the tree is 54 feet tall.
I am not a professional, simply using prior knowledge.
Note- It would mean the world to me if you could mark me brainliest!
Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
q=6 and r=7 look at pic for work
Answer:
It's q = 6 and r = 7
Step-by-step explanation:
Hope this helps and have a great day (^w^)
Also Hi B
A battery company produces 20,000 batteries per day. Each day they randomly select 200 to test. If they find that 4 are dead, how many dead batteries would they expect to find among the entire 20,000?
Answers
Answer: 400 because when they test 200 they get that 4 are dead wich is 1/50 of 200 so 1/50 times 20,000 is 400
Step-by-step explanation:
4x^2-4x=3
Plz will mark brainliest!
Answers
Answer:
=−1/2
=3/2
Step-by-step explanation:
Answer:
x = -1/2
x = 3/2
Step-by-step explanation:
4x² - 4x = 3
Subtract 3.
4x² - 4x - 3 = 0
Factor by grouping.
(2x + 1)(2x - 3) = 0
2x + 1 = 0
2x - 3 = 0
x = -1/2
x = 3/2
good luck, i hope this helps :)
A snowstorm lasted for three days. During the storm, 8 inches of snow fell on the first day, 6 inches of snow fell
on the second day, and 9 inches of snow fell on the third day. Altogether, how many feet of snow fell during the
three-day snowstorm? Use paper to show your work.
During the snow storm
feet of snow fell.
Answers
Answer:
Basically we need to add all of the inches
Step-by-step explanation:
so...
8 inch ( first day ) + 6 inch ( second day) + 9 inch ( third day )
add all those inches together what do you get?
23 inches in total. So altogether 23 inches of snow fell during the 3-day storm
Answer:
1.9
Step-by-step explanation:
A foot is 12 inches, add 8+9+6 you get 23 convert. 23 inches to feet you get 1.9 feet
The radius of a circle is 6 in. Find the circumference to the nearest tenth.
Answers
Answer:
37.7
Step-by-step explanation:
The orginal answer is 37.699
But you want to round the tenth
So 9 to the 6 you want to rasie the score
6 turns into a 7 and the numbers behind it (9 and the other 9) turn into a zero
37.7 or 37.700
Which of these systems of equations has one solution?
Answers
Answer: B
Step-by-step explanation:
11 There are 136 people on a train.
34 of the people are children.
What percentage of the people on the train are adults?
Answers
Answer:
75%
Step-by-step explanation:
There are 136 people on a train
34 are children
Therefore the percentage of people that are adults can be calculated as follows
= 136-34
= 102
= 102/136 × 100
= 0.75 × 100
= 75%
Hence 75% are adults
Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5
Answers
Answer:
C. 2x + 1
Step-by-step explanation:
Factorize 6x² - 7x - 5
6x² + 3x - 10x - 5
3x(2x + 1) - 5(2x + 1)
(3x - 5)(2x + 1)
Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.
Can someone help me with two geometry questions? They are in a PDF document that I attached.
Answers
Answer:
use
x+y=z
and see magic answer is there
What are the multiplication sentences for factors of 6?
Answers
Answer:
keep doubling the answer by 6
6x-3y=15 y=2x-5 help meeeeeeeeeeew
Answers
Hey there!!
Let me know if you need an explanation on how I reached my final answer:
As we solve for the first variable in one of the equations, we then substitute the result into the other equation.
Your answer:
Y=2x-5
Let me know if you have any questions or concerns!! Hope this helps!!
The volume of the prism is 72 cubic feet. Find the missing height of the triangular prism, and the surface area.
Answers
Answer:
h = 12
surface area = 192
Step-by-step explanation:
Volume of this prism = 72
The base triangle has an area of B * h/2
The base = 6
The height in red = 2
Area = 1/2 * 6 * 2
Area = 6 ft^2
The volume = B * h = 72
The base = 6
6* h = 72
h = 72/6
h = 12
The surface area = 2 triangles + the rectangle face closest to us + the rectangular face whose width is 4 + rectangular face whose with is 5
The surface area = 2 * 6 + 6* 12 + 4*12 + 5 * 12
The surface area = 12 + 72 + 48 + 60
The surface area = 192 square feet.
A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.
Answers
The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.
The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.
Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.
Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.
The probability of drawing a blue ball on the second draw is also 3/10.
To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:
Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)
= (1/2) × (3/10)
= 3/20
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Two numbers have a sum of 527 and a difference of 195. What is the smaller of the two numbers?
Answers
Answer:
166
Step-by-step explanation:
let two numbers be x and y
according to question,
x+y=527..........equation 1
x-y=195...........equation 2
add both the equations you will get
x=361 and y= 166
So the smaller of two numbers is y=166
A city has a 5% sales tax.
Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes or No
Answers
Answer:
Yes,
There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.
Step-by-step explanation:
Given - A city has a 5% sales tax.
To find - Is there a proportional relationship between the cost of items
before tax and the cost of items after tax?
Proof -
Yes, cost of items before tax is directly proportional to cost of items after tax.
Reason -
With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.
Which two integers does the square root of 99 lie between?
Answers
Answer: the square root of 99 lies somewhere between 9.9 and 10.
Step-by-step explanation:
Answer:9 and 10
Step-by-step explanation:
it was hw
Solve for x*
55°
x + 74
I
54°
Answers
The Answer Is 180. :)
work out 14hrs 3min devide by 3
Answers
Answer:
4.6833333 Hours
Step-by-step explanation:
14 hrs=840 min
843/3
281minutes
281 min= 4.6833333 Hours
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What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44
Answers
Using the median concept, the interquartile range of the data-set is:
A. 22.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.From this box plot, we have that:
The first quartile is of 39.The third quaritle is of 61.Then the IQR is:
61 - 39 = 22.
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