Which pair of triangles below can be shown to be similar using AA similarity?

350
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890
67°
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54°

Which Pair Of Triangles Below Can Be Shown To Be Similar Using AA Similarity?350700890677670249164049075082063054

Answers

Answer 1
The second option shows AA symmetry.
The angles of a triangle have to add up to 180. When adding the given angles, you will find that the missing angle is equal to what is given in the other triangle.
An example is how in the second option’s triangle, the two given number add up to 91. 89 is needed to make it equal 180 and 89 is in the same position is the first triangle.
Answer 2

Triangle second and third can be shown to be similar using AA similarity when we take two angles between them.

What is similarity?

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

How to check similarity of triangle?

In second and third triangle two angles whose measures are 24 degrees and 67 degrees are in both triangles, which is the condition of AA similarity.

To check AA similarity we have to check whether two angles are equal in two triangles to be similar.

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Related Questions

pls help thank you very much:)

Answers

A (4,7) B(7,8) C (22,30)

Two sides of a triangle have lengths 8 and 16. Which expression describes the length of the third side?

greater than 8 and at most 24

at least 8 and at most 24

at least 8 and less than 24

greater than 8 and less than 24

Answers

Answer:

Based on the given description above, the correct answer would be the second statement. If two lengths of two sides of a triangle are 9 and 15, therefore, the length of the third side must be greater than or equal to 6 and at most 24. Hope this answer helps.

Step-by-step explanation:

Amani's calculator weighs 7/25 pound. \tVhat is the weight of her calculator expressed as a
decimal?

Answers

Answer:

0.28 pounds

Step-by-step explanation:

Here, we want to get the weight of the calculator expressed as a decimal

Mathematically, what we have to do is to divide 7 by 25

The answer is 0.28 pounds

Rachel drove 140 miles on 5 gallons of gas. At this rate, how far could she drive on 9 gallons of gas?

Answers

Answer: 252 miles on nine gallons of gas.

Step-by-step explanation:

Find how many miles Rachel can travel on 1 gallon of gas by dividing 140 by 5 to get 28.

After getting 28, multiply it by 9 to get 252.

Therefore, Rachel, on nine gallons of gas, can travel 252 miles.

Hope this helped you out, dawg.

17. Carole Winer deposits the following in her checking account: 7 five-
dollar bills, 3 two-dollar bills, 18 one-dollar bills, 9 half dollars, 15
quarters, 99 dimes, 48 nickels, 16 pennies, and a check for $28.32.
What is her total deposit?

Answers

All of that is $70.13

Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.

Answers

Answer:

80 visitors

Step-by-step explanation:

From the above question, we can see that:

The trend is explained using geometric sequence

The formula for Geometric sequence is given as:

an = ar ^n - 1

Where a = first term

r = common ratio

n = number of terms

an = nth term

From the above question, let the number of term be equal to the number of weeks.

First week = First term = 5

Second week = Second term = 10

Third week = Third term = 20

Common ratio = a2/a1 = a3/a2 = 10/5 = 20/10 = 2

We are to find the number of visitors for the Fifth week = fifth term,

Hence:

a5 = 5 × 2^5 - 1

a5 = 5 × 2^4

a5 = 80 visitors

The number of visitors we can expect for the fifth week = 80 visitors

Adsila and Carlos volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 4 hours and fill 108 boxes, Adsila fills 11 boxes every hour. How many boxes does Carlos fill every hour?

Answers

Answer:

Carlos fills 16 boxes per hour.

Step-by-step explanation:

Given that:

Adsila and Carlos are working together to fill the gift boxes for soldiers.

Number of boxes filled while working together in 4 hours = 108 boxes

Number of boxes filled while working together in 1 hour = [tex]\frac{108}{4} = 27[/tex] boxes per hour

Number of boxes filled by Adsila every hour = 11 boxes

To find:

Number of boxes filled by Carlos every hour = ?

Solution:

Number of boxes filled every hour while working together = Number of boxes filled every hour by Adsila + Number of boxes filled every hour by Carlos

Number of boxes filled every hour while working together = 27 = 11 + Number of boxes filled every hour by Carlos

Number of boxes filled every hour by Carlos = 27 - 11 = 16

The wholesale cost of a bicycle is $98.75.

The markup for the bicycle is 33.3%. Find

the selling price of the blcycle. Round to

the nearest cent. (Answer please)

Answers

Answer:

$131.60

Step-by-step explanation:

For the promotion, markup is 33.3% of the selling price.

Now, Selling Price = Cost price + Cost price*Markup

Selling Price = $98.75 + $98.75*33.3%

Selling Price = $98.75 + $32.88375

Selling Price = $131.63375

Selling Price = $131.60

Thus, the selling price of the bicycle after calculating the markup is $131.60.

What are the five positions of classical ballet?

Answers

Answer:

1st, 2nd, 3rd, 4th, and 5th position.

Step-by-step explanation:

Help please answer me if u can

Answers

Answer:

the fourth one

Step-by-step explanation:

draw the koordinate plan if you can first

Solve the equation: f(x) = 3r - 2x +5

Answers

X= 3r+5/2 is the answer I believe

Makayla and John are selling cookie dough for a school fundraiser. Customers can buy chocolate chip or gingerbread cookie dough. Makayla sold 8 packages of chocolate chip and 12 packages of gingerbread cookie dough for a total of $364. John sold 1 package of chocolate chip and 4 packages of gingerbread cookie dough for a total of $93. Find the cost each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough.

The cost per package is $---- for chocolate chip and $----- for gingerbread.

Answers

Answer:

Step-by-step explanation:

Lets give a letter value for the chocolate chip and gingerbread cookies. Lets let C= Chocolate chip and G= Gingerbread For Makayla we can set her equation as 8c+12g=364

For John we can leave it as c+4g=93

To solve the equation we would have to substitute the second one into the first one to solve for gingerbread. Lets isolate C to make C=(93-4g)

We can do this because we know that C=93-4g so we can replace the C variable in the first equation with C=93-4g

8(93-4g) + 12g = 364

744 - 32g + 12g = 364

-32g + 12g = 364 - 744

-20g = -380

g = -380/-20

So we know that g=19 dollars. So one gingerbread cookie dough is $19

So now we can plug in the answer of g which was 19 then solve for C

c = 93 - 4(19)

c = $17 for the chip dough

Answer:

The cost per package is $17 for chocolate chip and $19 for gingerbread.

Step-by-step explanation:

Define the variables:

Let x = cost of chocolate chip cookie dough (in dollars)Let y = cost of gingerbread cookie dough (in dollars)

Given information:

Makayla sold 8 packages of chocolate chip and 12 packages of gingerbread cookie dough for a total of $364. John sold 1 package of chocolate chip and 4 packages of gingerbread cookie dough for a total of $93.

Create two equations using the defined variables and the given information:

  [tex]\textsf{Equation 1}: \quad 8x+12y=364[/tex]

  [tex]\textsf{Equation 2}: \quad x+4y=93[/tex]

Multiply Equation 2 by 3:

[tex]\implies 3 \cdot x + 3 \cdot 4y=3 \cdot 93[/tex]

[tex]\implies 3x+12y=279[/tex]

Subtract from Equation 1 to eliminate the term in y:

[tex]\begin{array}{lrl}& 8x+12y =&364\\- & (3x+12y =&279)\\\cline{1-3} & 5x \phantom{+12y)} =& \:\:85\end{array}[/tex]

Solve for x:

[tex]\implies 5x=85[/tex]

[tex]\implies \dfrac{5x}{5}=\dfrac{85}{5}[/tex]

[tex]\implies x=17[/tex]

Substitute the found value of x into Equation 2 and solve for y:

[tex]\implies x+4y=93[/tex]

[tex]\implies 17+4y=93[/tex]

[tex]\implies 17+4y-17=93-17[/tex]

[tex]\implies 4y=76[/tex]

[tex]\implies \dfrac{4y}{4}=\dfrac{76}{4}[/tex]

[tex]\implies y=19[/tex]

Conclusion

Cost per package of chocolate chip cookie dough = $17.Cost per package of gingerbread cookie dough = $19.

Learn more about systems of equations here:

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Which expression represents the correct form of the partial fraction decomposition of StartFraction 19 x + 20 Over x squared minus 64 EndFraction? StartFraction A x + B Over x squared minus 64 EndFraction StartFraction A Over x minus 8 EndFraction + StartFraction B Over x + 8 EndFraction StartFraction A x + B Over x squared minus 64 EndFraction + StartFraction C over x minus 8 EndFraction StartFraction A Over x minus 8 EndFraction + StartFraction B x + C Over (x minus 8) squared EndFraction

Answers

Answer:

A

Step-by-step explanation:

I got it right, Edg2020

Answer:

It's B!

Right On Edge

Step-by-step explanation:

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 5[tex]\sqrt{2}[/tex]

What is the number that when you multiply by 2 and add 7 to the product you get is 10.8 pls answer

Answers

Answer:

1.9

Step-by-step explanation:

2x+7=10.8

2x=3.8

x=1.9

1.9x2=3.8+7=10.8

The required number is 1.9, when multiply by 2 and add 7 to the product gives 10.8.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
let the number be x,
According to the question,
2x + 7 = 10.8

Simplifying the above expression,
2x = 10.8 - 7
2x = 3.8

x = 1.9

Thus, the required simplified value of the given equation model is 1.9.

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which is the best estimate of -14 1/9 (-2 9/10)?
-42
-28
28
42​

Answers

-42 is the best estimate

Answer:

-42

Step-by-step explanation:

8
Given the summation E (3 + 2n),
n=1
a. Write the first four terms of the sequence.

Answers

Answer:

(e^3 / e^2n)

Step-by-step explanation:

Write an equation for the nth term of each arithmetic sequence. Then find the 12th term of the sequence.
as = 14, d = -3

Answers

We need to know about arithmetic sequence to solve this problem. The equation for the nth term of each arithmetic sequence is a+(n-1)d and the 12th term of the sequence is -19.

An arithmetic sequence is a sequence of numbers where the difference between consecutive numbers is constant. If a,b and c are in arithmetic sequence then we can say that 2b=a+c. If the starting value of an arithmetic sequence is a and the difference between every consecutive number is d, then we can write the second number as a+d, the third as a+2d and so on. So for the nth term of an arithmetic sequence the equation is

nth term=a+(n-1)d where a is the starting value, d is the constant difference

We have been given the value of a and d, a=14 and d=-3, we need to find the value of the 12th term of the sequence.

12th term= a+(n-1)d= 14+(12-1)x(-3)=14-33=-19

Therefore we found out using the concept of arithmetic sequence that the equation for the nth term is a+(n-1)d and the 12th term of the sequence is -19.

Learn more about arithmetic sequence from here:

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nick, janet, huiju, and amanda go to the world's largest brat fest. each of them is equally likely to order a meat brat, a hot dog, or a veggie brat. what is the probability that $2$ of them order a meat brat, and the other two order hot dogs?

Answers

The opportunity that 2 of them order a meat brat, and the other  order warm puppies = 2/27

The chance of any one of them ordering a meat brat / dog is 1/3.

the 2 human beings that can be selected to select each of different ingredients in

     ⁴C₂= 6;

The probability that 2 of them order a meat brat, and the other two order hot dogs = 6 × (1/3)⁴ = 2/27;

What is probability explain?

probability is a measure of the chance of an event to arise. Many activities can't be expected with total fact. we will predict handiest the chance of an event to occur i.e. how possibly they are to happen, using it

probability is the department of mathematics regarding numerical descriptions of ways probably an event is to occur, or how in all likelihood it is that a proposition is genuine. The opportunity of an occasion is various among zero and 1, where, more or less speakme, zero indicates impossibility of the event and 1 suggests truth

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Solve the formula V = s²h for s.​

Answers

Answer:  [tex]s=\sqrt{Vh}[/tex]

Step-by-step explanation:

[tex]V = s^2h\\[/tex]

divide both sides by h to isolate s

[tex]Vh=s^2[/tex]

since s is squared, square root both sides to make s not squared

[tex]\sqrt{Vh}=\sqrt{s^2}[/tex]

Vh isn't a numerical value so no need to simplify anything just leave everything as is, so you should get:

[tex]s=\sqrt{Vh}[/tex]

In 2010, a major coffee store chain had 137,239 employees across the world. About how many employees did they have, if they rounded to the nearest thousand?

Answers

Answer: 137,00

Step-by-step explanation:

what is a solutions of x^2-2x+10=0?​

Answers

Answer:

x = 1± 3i

Step-by-step explanation:

x^2-2x+10=0

We can complete the square to solve by subtracting 10 from each side

x^2-2x+10-10=-10

x^2 -2x = -10

We need to add (2/2) ^2  to each side or 1

x^2 -2x+1 = -10 +1

x^2 -2x+1 = -9

The left side factors into (x- (2/2) ) ^2

(x-1) ^2 = -9

Take the square root of each side

sqrt((x-1) ^2 =± sqrt(-9)

x-1 = ±sqrt(-1) sqrt(3)

Remember the sqrt(-1) = i

x-1 = ± 3i

Add 1 to each side

x-1+1 = 1± 3i

x = 1± 3i

30 POINTS! PLATO HELP! NUTRITION CLASS!

The Egyptians invented _____ , which they used to store ______ for many years.
Storage silos
Wooden baskets
Glass bottles

Wines
Grains
Vegtables

Answers

Answer:

30 points where ???

Step-by-step explanation:

Answer:

The answer is The Egyptians invented storage silos, which they used to store grains for many years.

Step-by-step explanation:

Hope this helps!! :)

find the compound interest on 30,000 for 2years at 7 percent per annum​

Answers

Answer:

34347

Step-by-step explanation:

Use the formula s=p(1+r/k)^kt

p=30000

r=7% (interest)

k=1 (because of per annum)

t= 2 (years)

Hence: 30000(1+0.07/1)^1(2) = 34347

can someone pls help me with this?
15х – бу = 6

Answers

Answer:

x=2/5y+2/5

Step-by-step explanation:

x=2/5+2y/5

EXPLANATION-
Move all terms that don't contain x to the right side & solve

please help and explain i’ll mark brainliest!! worth a lot of points too

Answers

I’m gonna say that it’s ... 112

Question 11 (5 points)
The ordered pair (2,6) is a solution to the system of linear equations.
x + y = 8
3x - y = 0
O True
False

Answers

Answer:

Yes

Step-by-step explanation:

Substitute the x value in the ordered pair for the x in the equation, or 2, and the y-value (6) in for y. So, 2 + 6 = 8, and this is true. Then do 3(2) - 6 = 0, which is also true.

Please help!!!! With my Algrebra 2 homework!! i will give brainiest and 60 pts

options are

A. A(x)= 3| x- 6| + 4
B. A(x)= 1/3 |x+6| + 4
C. A(x)= 3 |x+6| + 4
D. A(x)= 1/3|x-6| +4

Answers

Answer is A you can check by subbing in points

Answer: C

Step-by-step explanation: I tested some points from the graph into all of the equations (-8,10) (-4,10) (-6,4) and C is the only one that works for all of them. Plus when you are adding inside an absolute value, it means you are moving to the left by whatever number you added, which automatically eliminates A and D. So B and C were the only ones left and I tested the points to see which one is correct.

please help due in an hour!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

Which grade? --------_______-------

How do I solve this

Answers

Answer: 0.10 I think

Step-by-step explanation:

i am not 100 percent sure consider looking it up

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