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☛[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 !
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]
Answer:
this is your answer. look it once.
Give at least 3 objects that have the shape of quadrilateral
Answer:
Chess board, arrow , kite , sign board
Step-by-step explanation:
A quadrilateral is a 2D shape which has 4 straight sides .
Which number line represents the solution for 5x greater than 30
It's G bc of the full dot and the line going up.
40 POINTS!!!!!! Find the area of the complex figure.
Answer:
2361456
Step-by-step explanation:
if this is not the answer im not smart please
im only doing answer for good intentions no bad intentions.
The polygons in each pair are similar. Find the missing side length.
A.5
B.6
C.11
D.8
1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake
Answer:
Step 3 contains error.
Step-by-step explanation:
The given equation is :
[tex]\dfrac{1}{4}(\dfrac{1}{3}k+9)=6[/tex]
Step 1.
Cross multiplying,
[tex](\dfrac{1}{3}k+9)=24[/tex]
Step 2.
Subtract 9 from both sides
[tex]\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15[/tex]
Step 3.
Cross multiplying
[tex]k=15\times 3\\\\k=45[/tex]
So, there is an error in step 3. The correct answer should be 45.
Greg has two coupons for a bicycle.
Coupon A: $19 rebate on a $81 bicycle
Coupon B: 20% off of a $81 bicycle
Choose the coupon that gives the lower price.
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Greg has two coupons for a bicycle.
Coupon A: $19 rebate on an $81 bicycle. Then the price of a bicycle will be
⇒ $81 - $19
⇒ $62
Coupon B: 20% off of an $81 bicycle. Then the price of a bicycle will be
⇒ $81 x 0.80
⇒ $64.8
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
More about the Algebra link is given below.
https://brainly.com/question/953809
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I NEED HELP WITH THIS MATH
Answer:
v = 120
Step-by-step explanation:
The right angle is egual to 180-39-v, so it is: v-141
U now that the sum of the internal angles of a triangle is 180°.
180 = (v-48)+(v)+(v-141)
180 = 3v - 180
3v = 360
v = 360/3
v = 120
Answer:
89 = v
Step-by-step explanation:
not completely sure how i got it
good luck
hurry pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
find to the nearest degree the size of each angle of a regular heptagon
plsss i need answers nowwww
Answer:
That's the question
Step-by-step explanation:
. What is the value of x in the figure? * 1 point Captionless Image A. 180 B. 90 C. 40 D. 8
In chapter 1, we introduced several sampling methods: Simple random sample, stratified sampling, systematic sampling, and cluster sampling. All the sampling methods except for convenience sampling, allow for unbiased statistical inference to be made. Convenience sampling typically leads to an unrepresentative sample and biased results. In this week's discussion board, you are asked to design a sample that is representative of the population and unbiased. Scenario: A marketing executive for Coca- Cola, Inc. wants to identify television shows that people in the Seattle area who typically drink Coke are watching. The executive has a list of all households in the Seattle area. Task: You are asked to design a sample to obtain the individuals in the sample. Use the provided scenario to help the Coca-Cola executive identifying the television shows. Design a sample that meets the requirements we discussed in the previous chapter. You need to explain why did you choose this sampling method.
Answer:
For the coca-cola case, stratified sampling coupled with random sampling will be used.
Step-by-step explanation:
Before going into discussing the scenario, it is evident to discuss the properties of mentioned sampling methods. They are as follows:
Random sampling as the name indicates is purely by randomness. It is a sample in which each element of the population has an equal chance of coming on.
Systematic sampling is easier than random sampling. Here all the elements are arranged in an order and the kth element is considered after a specific interval.
Cluster Sampling is another type of sampling where the population is divided into groups probably on the basis of their geographical location and all the elements of the cluster are then used.
Stratified Sampling is a two-step sampling method where firstly the population is divided into strata, groups on basis of some characteristic, like gender, age, and then another sampling method as the random or systematic method is chosen to pick samples from each of these strata.
On the basis of properties presented and the scenario outlined, it is evident that the population will be divided into strata based on age, gender, profession, and education, and then a random sampling within each stratum is used for all the population of the Seattle area.
Find the equation of the circle with a center at (-2,10 and a point on the circle is at (4,9).
A. (x-2)^2+(y+1)^2=100
B. (x+2)+(y-1)^2=100
C. (x-2)+(y+1)^2=10
D. (x+2)^2+(y-1)^2=10
Answer:
d i think
Step-by-step explanation:
sheeeeesh
Joey is buying a new couch for his living room. The couch costs $379.00. He has a choice of using a coupon for 5% off before taxes, getting a rebate of $20 after taxes, or getting a discount of $18 before taxes. If the sales tax rate is 8%, which option is the better deal?
Answer:
rebate of 20 after taxes
Step-by-step explanation:
Answer:
rebate of 20 after taxes
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!
The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table below.
Number of Years Since 2010 Avg. Number of Subscribers
0 320,000
1 384,000
2 460,800
3 552,960
4 663,552
5 769,262
The percent increase in the average number of subscribers each year since 2010 was ____%.
Answer:
the average number of subscribers to the online magazine in 2010 was 320,000
Name the marked angle in 2 different ways.
M
L
J
K
Answer:
Angle J and angle MJK or maybe right angle....
These are the three ways...
Hope it helps
Step-by-step explanation:
A right triangle undergoes a sequence of transformations to generate a new
triangle. Which of the following sequences of transformations would result in
the two triangles being similar but not congruent?
Answer:
Option a.
Step-by-step explanation:
Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.
Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.
Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.
The only sequence that has a dilation is the first one:
a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.
Then option a is the correct one.
Find the slope of the
line through the
points (1,-2) and (-7,4)
Answer:
-3/4
Step-by-step explanation:
To find the slope, plug the coordinates into the slope formula.
y2 - y1 / x2 - x1
4 - (-2) / -7 - 1
6 / - 8
-3/4
Can someone help me please ☺
Find the cost of fencing a park with the length of 175 meters and a width of 125 meters. The cost is $12. per meter.
Answer:
The answer is $3600 I hope this is helpful.
hurry pleaseeeeeeeeeeeeeeeeeeeeeee
The answers to any of these would be really helpful
Answer:
Step-by-step explanation:
Q9) Surface Area of a cylinder
= 2πr(r + h)
Diameter = 12cm , Radius = Diameter/2 = 12 cm/2
r = radius = 6cm
h = height = 10 cm
Surface area = 2 × π × 6(6 + 10)
= 603.18579 cm²
Approximately = 603.2 cm²
Q11) Volume of a rectangular prism
Length × Width × Height
Length = 6.5cm
Width = 8.5 cm
Height = 4 cm
Volume = 6.5 cm × 8.5 cm × 4 cm
Volume = 221 cm³
Q12) Volume of the cylinder = πr²h
r = radius = 1.7m
h = height = 9 m
Volume = π × 1.7 × 9
= 81.71 m³
Approximately = 81.7 m³
Q13) Volume of the cylinder = πr²h
Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2
r = radius = 0.4m
h = height = 1.5 m
Volume = π × 0.4 × 1.5
= 0.75 m²
Approximately = 0.8 m³
sally buys 10kg of sweets.
Answer:
150%
Step-by-step explanation:
Purchase Cost= £12 for 10kg
Sales
1 bag= 200g
200g=1 bag
1 g= 1/200 bag
10000g or 10kg= 1/200 * 10000 = 50 Bags
1 Bag = 0.60
50 Bags= 0.60*50= £30
Profit= £30- £12= 18
% Profit= 18/12 *100
=150%
PLEASE HELP!!!
Is WXZ〰️YZX?
yes or no, please explain
Answer:
yes
Step-by-step explanation:
they both have right angles and a side of 21 cm, and they share the side xz. this makes them congruent by side-angle-side congruence, as xz=xz, angle zxw= angle xzy, and zy=xw.
find the measure of the missing angles
Answer:
Step-by-step explanation:
b = 20 °
c = 160° ( b/c 180-20 = 160 ) :)
The area of a circle is 113.04 square meters what is its diameter
Answer:
The diameter would be 12.
On a field trip to the farm, students counted a combined total of 27 sheep
and cows. There are 15 more sheep than cows. If s represents the number
of sheep and c represents the number of cows, which system of equations
correctly represents this situation
Answer:
s = c + 15
s + c = 27
substitute for s:
(c + 15) + c = 27
2c = 12
c = 6
s = 21
The system of equation which correctly represents the situation is s + c = 27 and s - c = 15.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given that,
Combined total of sheep and cows = 27
Number of sheep = Number of cows + 15
Let s represents the number of sheep and c represents the number of cows.
s + c = 27
s = c + 15 ⇒ s - c = 15
Hence the system of equation is s + c = 27 and s - c = 15.
Learn more about System of Equations here :
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first person to get it right gets brainliest
The number of points Jaden scored in a game is less than 45, and is also a multiple of 7. How many points could Jaden have scored
Answer:
35
Step-by-step explanation:
The first few multiples of 7 are:
× 7 = 7
× 7 = 14
× 7 = 21
× 7 = 28
× 7 = 35
× 7 = 42
× 7 = 49
× 7 = 56
× 7 = 63
× 7 = 70
The number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points
How to find how many points Jaden scored?The multiples of 7 are;
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105......
Recall,
The number of points Jaden scored in a game is less than 45
From the options, we are left with 17 and 3517 is not a multiple of 7Therefore, the number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points
Learn more about multiples of numbers:
https://brainly.com/question/85194
someone please helppp
Answer:
7
Step-by-step explanation:
We know that alternate angles ( Z angles) are equal
So, the angle that is adjacent to (13x + 2) = (12x+3)
First, calculate the measure of the angle adjacent to (13x+2)
We know that the angles on a straight line add up to 180 degrees.
Therefore, the angle adjacent to (13x+2) = 180-(13x+2)
Simplify this to: 178-13x
So, now we have an equation
178 - 13x = 12x + 3
Rearrange to find the value of x
25x = 175
x = 7
Hope this helps.
Which function is best represented by this graph?
A y = 1/4 x + 8
B y = 1/4 x - 2
C y = 4x -2
D y = 4x + 8
⚠️Hurry⚠️
Answer:
B- y=[tex]\frac{1}{4}[/tex]x-2
Step-by-step explanation:
To look at the slope you can count over four and then up one and its at the next point.
Also, the place on the y-axis is at -2
So, b makes the most since :)
Hope this helps :) (if it does, brainliest??)