Which congruence theorem can be used to prove ?

Answer: [tex]\frac{r^9}{r^3} = r^{9-3} = r^6[/tex]

We subtract the exponents when dividing terms with the same base.

The general rule is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

Hii!

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[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

r^6

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

To simplify this we need to use the division property of exponents:

[tex]\large\boxed{\mathtt{\frac{x^m}{x^n} =x^{m-n}}}[/tex]. So if we divide two numbers with the same base, we subtract their exponents.

Let's apply this rule here.

[tex]\twoheadrightarrow\sf r^9\div r^3[/tex].

[tex]\bullet[/tex] Since these two numbers have the same base, we subtract their exponents

[tex]\twoheadrightarrow\sf r^6[/tex]

[tex]\bullet[/tex] Great job! We found the answer

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Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

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12:25 is also the same as 12/25 (in the fractional form!)

hope this helps, have a great day/night/afternoon!! Don't forget to mark me the brainliest if this ever helps you!

Answer:

b = 81

Step-by-step explanation:

given a² and b are directly proportional then the equation relating them is

a² = kb ← k is the constant of proportionality

to find k use the condition a = 2 when b = 9 , then

2² = 9k

4 = 9k ( divide both sides by 9 )

[tex]\frac{4}{9}[/tex] = k

a² = [tex]\frac{4}{9}[/tex] b ← equation of proportion

when a = 6 , then

6² = [tex]\frac{4}{9}[/tex] b

36 = [tex]\frac{4}{9}[/tex] b ( multiply both sides by 9 to clear the fraction )

324 = 4b ( divide both sides by 4 )

81 = b

Assessing the regression model on data other than the sample data that was used to generate the model is known as cross-validation

From the question, we have the following highlights:

When the sample data is not used in a regression model, then the term is known as cross-validation.

Hence, the term that completes blank is cross-validation

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I believe the answer is -2, 7

The distance between the points (0, 0) and (0, 6) on the coordinate plane will be 6 units. Then the correct option is D.

The shortest distance (length of the straight line segment's length connecting both given points) between points (p, q) and (x, y) is:

D² = (x – p)² + (y – q)²

Point M is 6 units away from the origin.

Take option D assuming correct, then the point will be (0, 6)

Then the distance between the points will be

D² = (0 - 0)² + (6 - 0)²

D² = 0² + 6²

D² = 0 + 36

D² = 36

D = 6 units

Then the correct option is D.

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The values of x that would result in the given expression being equal to 0 is -2, 6

Given the following expression

f(x) = (x-6)(x+2)

If the function f(x) = 0, then;

(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0

Determine the value of  x

x = 6 and x = -2

Hence the values of x that would result in the given expression being equal to 0 is -2, 6

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Answer:

1/16 is the answers for the question

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer: The second option, y = 3(1/3)^x

Step-by-step explanation: Input each equation into a graphing calculator (preferably GeoGebra online) and check the answer. I linked the equation, but make sure to check anyway just in case :)

Answer:

False

Step-by-step explanation:

27+65=92, so false

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: False[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: x + 65 = 87[/tex]

[ subtract 65 on both sides ]

[tex]\qquad \tt \rightarrow \: x + 65 - 65 = 87 - 65[/tex]

[tex]\qquad \tt \rightarrow \: x = 22[/tex]

but according to the statement it says, x = 27

which is proved wrong.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

Ans : 3578.83 feet from the ground

Step-by-step explanation:

You can use sine theory so

sine 32 = height/6400

6400 x sine 32 = height

Easy

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The correct option is A.

An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally.

Since the two of the angles of the triangle are equal, therefore, the length on the opposite sides of this angle will be equal to each other. Hence, we can write that the length of the side s will be equal to 4.

Hence, the correct option is A.

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Answer:

a) a=17/16, b=3/8     (17/16, 3/8)

b) x=12/17, y=25/17     (12/17, 25/17)

Step-by-step explanation:

I attached the work for solving the equations with substitution method... Sorry it took a bit of time and this would've been easier if the question's asking for elimination lol

Answer:

x = 20, y = 60

Explanation:

Angles which lie in a straight line sum ups to 180°

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

Using the same theorem,

3x + y + 3x = 180

3(20) + y + 3(20) = 180

60 + 60 + y = 180

120 + y = 180

y = 180 - 120

y = 60

or

y = 3x

y = 3(20)

y = 60

The value of x is 20° and the value of y is 60°.

According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.

As per the vertical angles theorem and vertical angles theorem,

the two angle equations as per the opposite angle and supplementary angles.

3x + 3x + 3x = 180

9x = 180

x = 180/9

x = 20

And another equation can be described as,

3x + y + 3x = 180

6x + y = 180

6(20) + y = 180

y = 180 - 120

y = 60

Therefore, x = 20 degrees and y = 60 degrees.

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Answer:

Step-by-step explanation:

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Let

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

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Answer:

Step-by-step explanation:

A quadrilateral has angles 60,60,120 and 120

write down the names of three possible quadrilaterals that can have these angles

Answer:

B

D

A

C

Step-by-step explanation:

Whatever is listed 2nd in the parentheses, do that function first. Then take that result & do the function listed first.

Answer:

Carla

Step-by-step explanation:

First we need to find the hourly rate for Annette

Take the dollars earned and divide by the number of hours

30/2 = 15 dollars per hour

Now we can find the hourly rate for Carla

96/6 =16 dollars per hour

Carla has the higher hourly rate  since she earns more per hour

The common denominator is 3a²

If f(x)=-3x-5 and g(x)=4x-2, then the value of (f-g)(x) is -7x-3.

The given functions are f(x)=-3x-5 and g(x)=4x-2.

We need to find the value of (f-g)(x)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, (f-g)(x)=f(x)-g(x)=(-3x-5)-(4x-2)

= -3x-5-4x+2 = (-3x-4x)+(-5 + 2)

= -7x-3

Therefore, the value of  (f-g) (x) is -7x-3.

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When the callable bond is 75 basis points using on-the-run treasuries as benchmark rates,it implies that the nominal speed is 75bp over the treasury benchmark rates.

It should be noted that a callable bond is the debt instrument whee the issuer has the right to return the principal of the investor.

Callable bonds are also known as redeemable bonds and they're paid off before the maturity date of the bond by the issuer.

It gives room for companies to pay off their debt early and then get benefit regarding favorable interests.

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The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.

The options are:

He did manifest coding.

He did latent coding.

He should have recorded the base.

He did manifest coding and he should have recorded the base.

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.

Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.

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You told your friend: d. he did manifest coding and he should have recorded the base.

The missing options are:

a. he did manifest coding.      b. he did latent coding.

c. he should have recorded the base.

d. he did manifest coding and he should have recorded the base.

e. he did latent coding and he should have recorded the base.

From the question, we understand that:

As a general rule, manifest coding include making use of the contents at the surface gotten from available data and questionnaires.

Because the stories that mentioned the university name can be gotten from publications, it means that your friend used manifest coding

Hence, the true statement is (d) he did manifest coding and he should have recorded the base.

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The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

For the given data the table can be made as shown below. The marginal distribution of tenure in counts can be calculated as,

Owns home = 71 + 5 = 76

Rents home = 13 + 27 = 40

Hence, The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

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Answer:

y-2=1/3(x-3)

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

m is slope.

y-2=1/3(x-3)

Hope this helps!

If not, I am sorry.

The correct expression is (82/n) - 26 ,The operations include division and subtraction , To evaluate, substitute 2 for the variable in the equation , the value of the expression is 15 , Option D, E and F is the answer.

An expression is the mathematical statement consisting of variables , constant and mathematical operators .

It is given that the expression has to be formed from the data

the quotient of 82 and a number, decreased by 26

Let the number from which it is divided is n then

quotient * divisor = 82

quotient = 82 /n

(82/n) - 26 is the expression formed from the data

When n =2

the expression value is

41 -26

15

The correct expression is StartFraction 82 Over n EndFraction minus 26.

The operations include division and subtraction.

To evaluate, substitute 2 for the variable in the equation , the value of the expression is 15.

Therefore Option D, E and F is the answer.

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Answer:D.E.F

Step-by-step explanation:

[tex]12^2+9^2=x^2\\144+81=x^2\\x^2=225\\x=15[/tex]

The graph for Mei Mei' trip is attached accordingly. Also attached are the  values derived from the question.

The secret to comprehending the graph is to understand that every time Mei Mei spent while she was on the way to bank and back were are all computed cumulatively.

This means that when she stops at the store which is 8 blocks away from home (that is 2 blocks per min x 4 mins = 8blocks) the time spent is recorded as 4 + 5 at location 8 blocks, which is equals 9 minutes.

Also take note of the fact that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

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Answer:

how?

Please Attach Figure so someone can Solve...

Step-by-step explanation: