Heya! ツ
☛[tex] \underline{ \underline{ \text{question}}}[/tex] : In the given figure , O is the centre of the circle. Two equal chords AB and CD intersect each other at E. Prove that :
i. AE = CE
ii. BE = DE
*Random/irrelevant answers will not be tolerated !
![Heya! [tex] \underline{ \underline{ \text{question}}}[/tex] : In The Given Figure , O Is The Centre Of](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/tGDRovhitIziVRyIbM19dBVZZOap2hzF.jpeg)
Answers
Answer:
See Below.
Step-by-step explanation:
In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.
We want to prove that I) AE = CE and II) BE = DE
First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.
Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:
[tex]\stackrel{\frown}{AB }\, \cong\, \stackrel{\frown}{CD}[/tex]
Arc AB is the sum of Arcs AD and DB:
[tex]\stackrel{\frown}{AB}=\stackrel{\frown}{AD}+\stackrel{\frown}{DB}[/tex]
Likewise, Arc CD is the sum of Arcs CB and DB. So:
[tex]\stackrel{\frown}{CD}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]
Since Arc AB ≅ Arc CD:
[tex]\stackrel{\frown}{AD}+\stackrel{\frown}{DB}=\stackrel{\frown}{CB}+\stackrel{\frown}{DB}[/tex]
Solve:
[tex]\stackrel{\frown}{AD}\, \cong\,\stackrel{\frown}{CB}[/tex]
The converse tells us that congruent arcs have congruent chords. Thus:
[tex]AD\cong CB[/tex]
Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:
[tex]\angle ADC\cong \angle CBA[/tex]
Additionally:
[tex]\angle AED\cong \angle CEB[/tex]
Since they are vertical angles.
Thus:
[tex]\Delta AED\cong \Delta CEB[/tex]
By AAS.
Then by CPCTC:
[tex]AE\cong CE\text{ and } BE\cong DE[/tex]
![Heya! [tex] \underline{ \underline{ \text{question}}}[/tex] : In The Given Figure , O Is The Centre Of](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/QSsoM9SRQ3TUDZY5ubnn7M3w5lhVopBd.jpeg)
Answer:
this is your answer. look it once.
![Heya! [tex] \underline{ \underline{ \text{question}}}[/tex] : In The Given Figure , O Is The Centre Of](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/82DJgTMYg4FQNih0jw5QUl6p8dIDOdz8.jpeg)
Related Questions
PLEASE ANSWER THIS!!
Answers
Answer:
161ft^2 is answer
Step-by-step explanation:
area of rectangle = l ×b
=7ft ×23ft
=161ft^2
A park has a large pond and a small pond as shown.
large pond
small pond
• Each pond is in the shape of a circle.
• The radius of the large pond is 4 times the radius of the small pond.
Based on this information, which of the following statements is TRUE?
O A The area of the large pond is 16 times the area of the small pond.
OB. The area of the large pond is 4 times the area of the small pond.
C. The area of the large pond is 2 times the area of the small pond.
Type here to search
O
RI
Answers
Answer:
A The area of the large pond is 16 times the area of the small pond.
Step-by-step explanation:
Small pond for theradius to
statements.
In this case
•- A : 41T -7 you can I'm using 2.
✓
Large Pond '
A- = ITCH.
2)Z pi . (t)
"
a- it 82 530 Divide
A = 64 IT we are looking
for " how many
times
larger.
"
Mr. Yasin paid a total of 9.43 to buy three boxes of cereal. If he paid 3.99 for the 1st box and 2.97 for the 2nd box how much did Mr. Yasin pay for third box of cereal?
$4.72, 2.47, 6.96, or 3.54
Answers
Answer:
$2.47
Step-by-step explanation:
Pretend if Mr. Yasin didn't pay for the 3rd box, find out how much he had left after paying for the first 2 boxes.
9.43 - 3.99 - 2.97 = 2.47
full explanations please!!
Answers
Answer:
x/7 = 7
x = 49
y/7 = 2
y = 14
Step-by-step explanation:
I'm not really confident about this since I kind of forgot but I'm pretty sure what I said is right.
Helppppppp
14. Rob uses free weights at the gym every 3 days and he uses the weight machines every 5 days.
Today Rob used both free weights and the weight machines. How many days will it be before he uses
both kinds of weights on the same day again?
Answers
Answer:
15 days
Step-by-step explanation:
Since he used both of the weights today, he will only do both on the day they come together.
weights: 3 days, 6 days, 9 days, 12 days, 15 days
machine: 5 days, 10 days, 15 days
Because the numbers both were the same on 15 days, then that is when he will do both of them
The area of a rectangle is 42 m2, and the length is
8 m less than two times the width. Find the
dimensions of the rectangle.
Answers
Answer:
length = 14 m
width = 7 m
Step-by-step explanation:
l = length
w = width
l = 2w - 8
w(2w - 8) = 42
2w² - 8w - 42 = 0
you can factor out a 2 to work with smaller numbers:
w² - 4w - 21 = 0
(w - 7)(w + 3) = 0
w = 7
'w' cannot equal a negative so we discount it as an answer
find length:
l = 2(7) - 8
l = 14 - 8 or 6m
x - 3y = 6
2x + 4y = 2
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A) 4
B) -4
C) 2
D) -2
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Shdbe
Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?
Answers
Answer:
[tex]g(x) = (x-6)^2 +3[/tex]
Step-by-step explanation:
Given
[tex]y = (x - 1)^2 + 3[/tex]
Required:
Shift 5 units to the right
f(x) = (x + 2)^2 + 2
The parabola is written as:
[tex]y = a(x-h) ^2 +k[/tex]
Where [tex](h,k)[/tex] is the vertex
Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]
The vertex is:
[tex]Vertex =(1,3)[/tex]
Shift 5 units to the right
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex](1,3) \to (1 + 5,3)[/tex]
[tex](1,3) \to (6,3)[/tex]
The new function is:
[tex]g(x) = a(x-h) ^2 +k[/tex]
[tex]g(x) = (x-6)^2 +3[/tex]
A candy store makes chocolate bars in large quantities. To make this large amount, a chocolate
maker weighs 6 identical bricks of chocolate plus a 3 pound brick for a recipe that calls for 27
pounds of chocolate.
Answers
answer would be the bricks are each 24 pounds
Urgent!!
A video game is listed for $110 and is on clearance for 40% off. Sales tax is 7%. What is the cost of the video
game?
Answers
Answer:
$70.62
Step-by-step explanation:
110 x 0.6=66
66x0.07 + 66=$70.62
Find the volume of each solid figure. (the yellow and blue figures)
Answers
Complete the equations below. please only if you know
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Answer:
153, 51, 5.1
Step-by-step explanation:
15.3÷3= 153 tenths÷315.3÷3=51 tenths15.3÷3=5.1Giving brainliest for the correct answer
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Answer:
72 is the surface area
SA=2lw+2lh+2hw
l=6
w=3
h=2
Ashraf paid$4 for a package of 8 candy bars. Ronnie paid $5.40 for a package of 12 candy bars. Based on these rates, which statement is true? * 4 points A Ronnie paid $.40 more per bar than Ashraf B Ashraf paid $.05 more per bar than Ronnie C Ashraf paid $.50 more per bar than Ronnie D They paid the same amount per bar
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Answer: its B
Step-by-step explanation:
Find the value of d, the length of the diagonal across the square. If
necessary, round your answer to 2 decimal places.
20 points pls help!
Answers
Answer:
28.28
Step-by-step explanation:
The diagonal of a square is [tex]\sqrt{2}[/tex] times the length of a side of the square.
So the diagonal of your square is 20[tex]\sqrt{2}[/tex] = 28.28
Basim used a trailer to haul dirt. The trailer is in the shape of a rectangular prism. The interior of the trailer has a length of 8 feet, a width of 4 feet, and a height of 2 feet. What is the total number of cubic feet of dirt that the trailer can hold when it is filled so that the dirt is level with the top?
Answers
Answer:
64 cubic feet
Step-by-step explanation:
The Volume of a rectangular prism = Length × Width × Height
Hence,
length = 8 feet
width = 4 feet
height = 2 feet.
Volume of the rectangular prism =
8 feet × 4 feet × 2 feet
= 64 cubic feet
The total number of cubic feet of dirt that the trailer can hold when it is filled so that the dirt is level with the top is 64 cubic feet of dirt
Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square
feet will Kim paint?
Answers
Answer:
a
Step-by-step explanation:
The area of that should be painted by Kim is 55.75 ft².
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that a container which is in shape of rectangular prism,
We need to find the area that should be painted,
So, to find the same we will find the surface area of the prism,
SA = 2(lh + hw + wl)
l = length, w = width and h = height,
SA = 2(2.50·4 + 2.75·2.50 + 2.75·4)
= 2(10 + 6.875 + 11)
= 2 × 27.875
= 55.75
Hence the area of that should be painted by Kim is 55.75 ft²
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Another way to write 300 + 70 + 5/10 + 8/100
Pick one:
A) 370.58
B) 370.058
C) 30, 070. 508
D) 30,070. 58
No! links or guessing or lm will report you! :)
Answers
Answer:
A. 370.58
Step-by-step explanation:
Hope that helps
Avery has two horses: Salt and Pepper. Every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month. How many tons of hay do Salt and Pepper eat in a year?
Please help
Answers
Answer:
3.3 for pepper and 2.7 for salt which is 6 tons in total
Step-by-step explanation:
The number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.
Given that, every month, Salt eats 450 pounds of hay. Pepper is bigger, so he eats 550 pounds of hay each month.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of pounds of hay eaten by Salt in a year
= 450 × 12
= 5400 pounds
Number of pounds of hay eaten by Pepper in a year
= 550 × 12
= 6600 pounds
Total pounds of hay eaten by both the horses = 5400+6600
= 11000 pounds
In tons = 11000/2000
= 5.5 tons
Therefore, the number of tons of hay both Salt and Pepper eat in a year is 5.5 tons.
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Which of the following expressions represents the distance between −3.9 and −4.7?
Choice a: ∣−4.7−3.9∣
Choice b: ∣−3.9−4.7∣
Choice c: none of the above
NEED NOW
(Absolute value)
Answers
Answer: Choice C: none of the above
Step-by-step explanation:
The distance between two numbers would be |(number 1) - (number 2)|
--------------------------------------------------------------
Given
Number 1=-3.9
Number 2=-4.7
|(number 1) - (number 2)|
=|(-3.9) - (-4.7)|
=|-3.9+4.7|
The choice is not available.
Therefore, it is none of the above.
Hope this helps!! :)
Please let me know if you have any questions
I need halp PLSSSSS I’m confused
Answers
Answer:
the answer is C (18:30)
Step-by-step explanation:
Each set of ratio in the table in simplest form is 3:5, and so is C.
6×3=18
6×5=30
So, 18:30 in simplest form is 3:5
Hope this helps!
Olivia used colored ribbon for a craft project. She used 1/6 of a yard of green, 1/3of a yard of red, and 1/4 of a yard of yellow. Which ribbon is the longest? *
Answers
Answer: Red ribbon.
Step-by-step explanation:
When it comes to fractions, if all the fractions being compared have the same numerator, the fraction with the smallest denominator is the largest.
In this question, all the fractions have a numerator of 1 so the longest one will be the one with the smallest denominator which is 1/3. The red ribbon is the longest.
Another way is to convert them to percentages:
1/6 * 100% = 16.7%
1/3 * 100% = 33.3%
1/4 * 100% = 25%
Red ribbon is again the largest.
A team of students is designing a new game to help their class review for a science test. They will make a rolling cube
with a side length of 7 cm as part of the game.
7 cm
How much material will they need to make the rollina cube?
Answers
Answer: volume of the cube is (7 cm)^3= 343 cm^3
A submarine descends 45 meters on its first dive. It then descends another 40 meters. What integer represents the total descent in meters for the two dives?
Answers
Answer:
85 meters in total
Step-by-step explanation:
The submarine first descended 45 meters and then 40 meters
45+40=85
The diameter of a planet is about 10790 mi. The diameter of the planet's moon is about 33% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answers
Answer:
3560.7
Step-by-step explanation:
9. Simplify the expression: 8(5x-3y) *
Answers
Answer:
40x- 24y
Step-by-step explanation:
You started hiking at 31.3 feet below sea level. At the end of your hike, you were at 56.2 feet above sea level. How many feet did you climb?
Answers
Answer:
24.9
Step-by-step explanation:
56.2-31.3=24.9
please help
y=-4x-23
y=-2x-8
Answers
Answer:
x=-15/2 and y=7
Step-by-step explanation:
y=-4x-23
y=-2x-8
Two methods, substitution and elimination. Elimination is the easiest, so you can subtract the equations.
y=-4x-23
-(y=-2x-8)
----------------------
y=-4x-23
-y=2x+8
------------ so solve :)
0=-2x-15
becomes 2x=-15
so x=-15/2
------------------------ plug in x to solve for y
and you get y=7
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Answers
Step-by-step explanation:
...............................
Who was in paris??????
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Answer:
spongebob
Step-by-step explanation:
Answer:
i was in paris 3 years ago : )