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.
A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?
Answer:
72 different ratings
Step-by-step explanation:
To find how many different ratings there are, multiply all the factors together.
2 * 4 * 3 * 3 = x
8 * 9 = x
x = 72
72 different ratings
Alan types at a rate of 30 words per minute. How many words does he type in 3 minutes? words
Answer:
90 words
Step-by-step explanation:
Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.
30 words per minute x 3 minutes = 90 words
A radius of 1 meter. What’s the area. Use 3.14 for pi
Answer:
A is 3.14
Step-by-step explanation:
. good day.hope it helps
Answer:
Step-by-step explanation:
circumference = 2 * pi * radius
Plug in 4 meters for radius and 3.14 for pi .
circumference ≈ 2 * 3.14 * 4 m
Multiply these together.
circumference ≈ 25.1 m
area = pi * radius2
Plug in 4 meters for radius and 3.14 for pi .
area ≈ 3.14 * (4m)2
Square the 4m .
area ≈ 3.14 * 16m2
Multiply.
area ≈ 50.2 m2
Some please help I’ll give BrainLiest
Answer:
The author thought the event was exciting and interesting
What is the midpoint of the segment with endpoint(1,9)and(-3,5)
Answer:
(-1 , 7)
Step-by-step explanation:
To find the midpoint, the equation used is:-
[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]
Here, the values are:-
x1 = 1
x2 = -3
y1 = 9
y2 = 5
Substituting these in the equation, we get:-
[tex]\frac{-3 + 1}{2} ,\frac{9+5}{2}[/tex]
[tex]\frac{-2}{2} ,\frac{14}{2}[/tex]
(-1, 7)
Box A has a surface area of 98 in 2. If box B is 4 times the size of box A, what is the surface area of box B?
Given:
Box A has a surface area of 98 in².
Box B is 4 times the size of box A.
To find:
The surface area of box B.
Solution:
Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.
We know that the areas of similar figures are proportional to the square of their corresponding sides.
[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]
Using cross multiplication, we get
[tex]98\times 16=1\times A_B[/tex]
[tex]1568=A_B[/tex]
Therefore, the surface area of box B is 1568 in².
There were 25 children and 15 adults at the beach. Emery said that there were 5 children for every 3 adults. Is he correct. Explain
Answer:
The statement is correct as we will simplify the ratio of adults to children and will come down this.
25 children / 15 adults
both are multiple of 15 and will be divided to come down to 5 / 3
therefore it can be said that there were 5 children for every 3 adults.
PLS HELP MY LIL BRO!! NO LINKS!!! WILL GIVE 90 POINTS!!
Answer:
i think its 44cm^3
Step-by-step explanation:
What is the value of x????
In a 45 · 45 · 90 triangle, the hypotenuse is √2 · legs, because a 45 · 45 · 90 triangle is isosceles, so the legs are the same length. So, we have 3√2 · √2 = 6, so the hypotenuse is 6.
x=6
Find the 8th term of the arithmetic sequence
-5x + 3, x + 9,7x + 15, ...
Anyone who is good with Geometry
Answer:
6
Step-by-step explanation:
urgent, help pls. :)
Answer:
rational
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
Someone please help me with equation :)
Answer:
Use the formula pi r^2. You are finding the radius. Plug the numbers in.
Answer:
Should be the second one.
Step-by-step explanation:First you have to think that the entire circle is blue. So the area of the blue circle is: 3.14*11^2 = 379.94.
Then you have to look at the smaller circle. There the radius is: 3. So the area would be: 3.14*3^2 = 28.26
They are asking you to find the shaded area. So you subtract the bigger circles area with the smaller circle.
379.94 - 28.26 = 351.68 to the exact.
Simplify the expression by combining like terms: 4x - 2 - 8x + 1
Answer:
-4x-1
Step-by-step explanation:
combine 4x and -8x to make -4x and combine -2 and 1 to make -1
Translate the sentence into an equation.
Two more than the quotient of a number and 9 is equal to 8.
Answer:
it would be (9/n )+ 2 = 8
Step-by-step explanation:
I hope this is right :)))
please help me on this!!!
Answer:
19.0064
Step-by-step explanation:
please help!!
Work out the size of an exterior and an interior angle of a regular 16-sided
polygon.
Answer:
Exterior = 22.5 degrees
Interior = 157.5 degrees
Step-by-step explanation:
Exterior angles = 360/16 = 22.5
Interior Angles = 180 - 22.5 = 157.5
What is the period of the function?
1.π
2.2π
3. 3π
4. 4π
Answer:
2pi
Step-by-step explanation:
As x begins at zero and ends at 2pi, the graph repeats itself. Thus, the period is 2pi.
Answer: 2π
Step-by-step explanation:
just took the test
Write an expression for the area of the square.
Answer:
A=[tex](4x-5)^{2}[/tex]
Step-by-step explanation:
The area of a square can be found by multipling two of the side lengths. And since all the sides of a sqaures are the same we just multiply (4x-5)(4x-5)=A or [tex](4x-5)^{2}[/tex]=A.
An aquarium holds 11.35 cubic feet of water, and is 2.8 feet long and 1.5 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
the tank is 3 feet deep
Step-by-step explanation:
I got 15.65 then rounded up to 3
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! :)
Answer:
A. 370.58
Step-by-step explanation:
Hope that helps
What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{(-2)^3=\bf -8}[/tex]
[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{-8(9)= \bf -72}[/tex]
[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]
[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]
[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]
[tex]\mathsf{-2^2=\bf 4}[/tex]
[tex]\mathsf{= -12+4(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= -12+4(9)}[/tex]
[tex]\mathsf{4(9)= \bf 36}[/tex]
[tex]\mathsf{-12 + 36 = \bf 24}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]4(3-5x)=15-(8x-25)[/tex]
please help i’ll give brainliest
Grasshoper and Rabbits is correct answer .
There are expected to be 7 adults for every 3 children at the opening of a new museum. Find how many children are expected if there are 21 adults, 35 adults, and 56 adults.
Answer:
21 Adults= 7 Children , 35 Adults= 15 children and 56 Adults = 24 Children
Step-by-step explanation:
In other words, every 7 Adults creates a set of 3 Children
In the case of the 21 Adults, 21 /7 = 3sets of Children. Therefore 3x3 =9 Children.
For 35 adults, 35/7 gives us 5 sets
Therefore 5x3= 15 Children
Finally, 56 adults. 56/7= 8 sets
Therefore 8x3= 24 Children
Hope this helps and goodluck. Feel free to post more questions.
At a football stadium, 20% of the fans in attendance were teenagers. If there were 240 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
760 people in total
Step-by-step explanation:
pls help to solve this
Step-by-step explanation:
hope it is helpful to you
Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?
Answer:y=-3
Step-by-step explanation:
The value of the asymptote of the function is,
⇒ y = - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
g(x) is an exponential function shown in the graph.
We know that;
On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.
Hence, From graph,
The value of the asymptote of the function is,
⇒ y = - 3
Thus, he value of the asymptote of the function is,
⇒ y = - 3
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
area = ___ square units
Answer:
15 units^2
Step-by-step explanation:
Formula for area:
length × width or l × w
Count the length of BA or CD (they should equal the same):
Length (l) = 5 units
Count the width of AD or BC (they should equal the same):
Width (w) = 3 units
Plug these numbers into the formula:
5 units × 3 units
15 units^2
69 min equals how many hours and min
Answer:
One hour and nine minutes
Step-by-step explanation: