Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points

Answer:

77 is the answer your welcome

Answer:

Then solution as long as n ≥ 56

Step-by-step explanation:

The Normal distribution will provide a good approximation to evaluate proportion tests when the following conditions are met:

n*p₀ > 10

n*q₀ > 10

As  p₀ = 0,82      q₀ = 0,18       n  = 13      30     56    and  100

We test:

A) n = 13        n*q₀  =  13*0,18 = 2,34       2,34 < 10  

B) n = 30       n*q₀  =  30*0,18 = 5,4         5,4 < 10

C) n = 56       n*q₀  =  56 * 0,18 = 10,08

                      n*p₀  = 56 * 0,82 = 45,92

D) n = 100      n*q₀  = 18

                      n*p₀  = 82

If we test 55  we find that  55*0,18  =  9,9

Then solution as long as n ≥ 56

Answer:

2/-3

Step-by-step explanation:

Answer:

Option A. 0.6 is the right answer.

Step-by-step explanation:

Given information is:

Mean = $240

SD = $60

The probability of Dan making less than $255 has to be found.

Let x = 255

First of all, we will find the z-score of the given value

[tex]z = \frac{x-mean}{SD}\\z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]

Now the z-score table will be used to see the probability of less than 0.25

Using the z-score table, we get:

P(x<0.25) = 0.5987

As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point

0.5987 => 0.6

Hence,

Option A. 0.6 is the right answer.

Answer:

thanks for free points

Answer:

B. [tex]\sqrt{290}[/tex]

Step-by-step explanation:

On Edge, just finished the test.

The correct answer is option B which is the norm of the vector v is √290.

The quantity that needs both the direction and the magnitude for their representation is called a vector.

The norm of vector v will be calculated as:-

Let v be a vector with an initial point (–5, –11) and terminal point (6, 2).

Norm = [tex]\sqrt{(6-(-5))^2+( 2-(-11))^2[/tex]

Norm = [tex]\sqrt{121 + 169\\[/tex]

Norm = [tex]\sqrt { 290[/tex]

Therefore the correct answer is option B which is the norm of the vector v is √290.

To know more about vectors follow

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Answer:

C. x > -3

Explanation:

The circle with no filling means it can not be equal

It goes ahead of -3 so it is greater than -3

Answer:

Part B:

5) She will have $4445.244256 in 3 years

Part C:

1) She will have $8081.130039 in 10 years

2) He will have $13360.55059 in 8 years

Step-by-step explanation:

The formula of the compound interest is A = P [tex](1+\frac{r}{n})^{nt}[/tex], where

Part B:

5)

∵ P = $4250

∵ r = 1.5% = 1.5 ÷ 100 = 0.015

∵ n = 4 ⇒ Compounded quartly

∵ t = 3 years

→ Substitute them in the formula above

∴ A = 4250 [tex](1+\frac{0.015}{4})^{4(3)}[/tex]

∴ A = 4250 [tex](1.00375)^{12}[/tex]

∴ A = 4445.244256

∴ She will have $4445.244256 in 3 years

Part C:

1)

∵ Grace deposits $6000

∴ P = 6000

∵ The account is compounded semi-annually at 3%

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 2 ⇒ compounded semi-annually

∵ The time is 10 years

∴ t = 10

→ Substitute them in the formula above

∴ A = 6000 [tex](1+\frac{0.03}{2})^{2(10)}[/tex]

∴ A = 6000 [tex](1.015)^{20}[/tex]

∴ A = 8081.130039

∴ She will have $8081.130039 in 10 years

2)

∵ Danial opens an account that is compounded semi-annually at 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∴ n = 2 ⇒ compounded semi-annually

∵ He deposits $9000

∴ P = 9000

∵ The time is 8 years

∴ t = 8

→ Substitute them in the formula above

∴ A = 9000 [tex](1+\frac{0.05}{2})^{2(8)}[/tex]

∴ A = 9000 [tex](1.025)^{16}[/tex]

∴ A = 13360.55059

∴ He will have $13360.55059 in 8 years

Answer:

395,500

Step-by-step explanation:

The computation is shown below:

Supplier to retailer = 320,000

Vat tax = 13%

Retailer spent for transportation = 10,000

local tax = 5,000

Profit = 15,000

Now based on the above information

the customer would pay the amount with 13% vat is

= (320,000 + 10,000 + 5,000 + 15,000) + 13% of total

= 350,000 + 13% of 350,000

= 350,000 + 45,500

= 395,500

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

Answer:

(b) the relationship between two quantitative variables

Step-by-step explanation:

Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.

Answer:

0.357

Step-by-step explanation:

The computation of the probability of sale for the last book that the bookstore should purchase for sale to a student is shown below

Probability is

= 1 - ((Cs ) ÷ (Cs + co))

= 1 - (($225 - $105) ÷ ($117 + ($105 - $40)))

= 1 - 0.6428

= 0.357

Here Cs represent the notional loss in the case when the demand is underestimated

And Co represent the notional loss in the case when the demand is overestimated

Answer:

B

Step-by-step explanation:

First we find the vertex, which is the bottom of the "V" shape visually, you see it is -3, 4

That means answer is A or B. The x intercepts are where the line crosses the x axis, with is -5,0 and -1,0, so it has to be B!

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Answer:

32 degrees

Step-by-step explanation:

One straight line equals 180 degrees

if one angle from one side is 148, then 180-148=32

Answer:

b

Step-by-step explanation:

Answer:

l , k , j

Step-by-step explanation:

j is near to 1 so, j has greatest value

k has second great value

l has negative value

So,

l has least value also negative value.

9514 1404 393

Answer:

  (4x +5)

Step-by-step explanation:

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:

  √(16x²) = 4x

  √25 = 5

So, our first choice of side length for the square is ...

  s = (4x +5) . . . . . side length of the square

__

Using the above identity, we can verify that the square of this gives the right area:

  A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²

  A = 16x² +40x +25 . . . . . . as required

Step-by-step explanation:

A(-4, 5) => A'(-4+2, -5) = A'(-2, -5)

B(-6, -4) => B'(-6+2, -(-4)) = B'(-4, 4)

C(4, -4) => C'(4+2, -(-4)) = C'(6, 4)

Hence the new coordinates are A'(-2, -5), B'(-4, 4) and C'(6, 4).

Answer: C

Step-by-step explanation:

Answer:

LCD = 24

Step-by-step explanation:

Equivalent Fractions with the LCD

1 1/2 = 36/24

3/8 = 9/24

5/6 = 20/24

3 = 72/24

Hope this Helped! :}

It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.

The A. P is

22,28,34,.....

So the n th term will be represented as

a+(n-1)d,

where a=22

And d=6

Now in (b) part the n th term is given i. e. 100

So by putting in the given values we could easily found the value of n

n=(100-22)/6=78/6=13

So the 13th term will be 100

Hope You Got It.

Answer:

2x+3x-11x-6=0

Combine like x variables

-6x-6=0

Add 6 to the right side

-6x = 6

Divide by -6

x=-1

Rate positively and give brainlist

Answer:

x = - 1

Step-by-step explanation:

2x + 3x - 11x - 6 = 0

-6x = 6

x = - 1

Answer:  [tex]=\frac{-1}{16}[/tex]

Step-by-step explanation:

given data:

number to be chosen from = 1,2,3,4.

Solution:

ways the number can show

[tex]2*3*1=6[/tex] ways for your number to appear once.

[tex]1*1=1[/tex] ways for your number to appear twice.

[tex]3*3=9[/tex] ways for your number not to appear at all

[tex]= \frac{6(1) + 1(2) - 9(1)}{16}[/tex]

[tex]= \frac{6+2-9}{16}[/tex]

[tex]=\frac{-1}{16}[/tex]

expected return of the player is [tex]=\frac{-1}{16}[/tex]

Answer:

The answers are:

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

[tex]2u = 2(5,1) = (10,2)[/tex]

[tex]-3v = -3(6,2) = (-18,-6)[/tex]

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]

And

[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]

Hence,

The answers are:

Answer:

The regular sales price was $4.69

Answer:

4.69

Step-by-step explanation:

I had the maps test

Answer:hehdjjdjfhrjrg

Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr

Answer:

H!

Step-by-step explanation:

Answer:

we get [tex]x^2=12-6\sqrt{3}[/tex]

Step-by-step explanation:

We are given: [tex]x=3-\sqrt{3}[/tex]

We need to find [tex]x^2[/tex]

Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]

Solving:

[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]

We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]

Using formula and simplifying

[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]

So, we get [tex]x^2=12-6\sqrt{3}[/tex]

Answer:

(2xy)⁴/x²y⁵

(4x)²/y

(4x)²y¯¹

Step-by-step explanation:

From the question given above, we obtained:

16x²/y

Thus, we can obtain the equivalent of the above expression as follow:

For Option 1:

(2x)⁴/x²y¯¹ = 2⁴x⁴/x²y¯¹

(2x)⁴/x²y¯¹ = 16x⁴/x²y¯¹

Recall:

1/A¯¹ = A

Therefore,

16x⁴/x²y¯¹ = 16x⁴y/x²

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

16x⁴y/x² = 16x⁴¯²y = 16x²y

(2x)⁴/x²y¯¹ = 16x²y

Thus, (2x)⁴/x²y¯¹ is not equivalent to 16x²/y

For Option 2:

(2xy)⁴/x²y⁵ = 2⁴x⁴y⁴/x²y⁵

(2xy)⁴/x²y⁵ = 16x⁴y⁴/x²y⁵

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

16x⁴¯² y⁴¯⁵ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(2xy)⁴/x²y⁵ = 16x²/y

Thus, (2xy)⁴/x²y⁵ is equivalent to 16x²/y

For Option 3:

(4x)²/y = 4²x²/y

(4x)²/y = 16x²/y

Thus, (4x)²/y is equivalent to 16x²/y

For Option 4:

(4x)²y¯¹ = 4²x²y¯¹

(4x)²y¯¹ = 16x²y¯¹

Recall:

A¯¹ = 1/A

16x²y¯¹ = 16x²/y

(4x)²y¯¹ = 16x²/y

Thus, (4x)²y¯¹ is equivalent to 16x²/y

For Option 5:

(4x/y)²

Recall:

(A/B)ⁿ = Aⁿ / Bⁿ

(4x/y)² = (4x)²/y²

(4x/y)² = 4²x²/y²

(4x/y)² = 16x²/y²

Thus, (4x/y)² is not equivalent to 16x²/y

SUMMARY:

(2x)⁴/x²y¯¹ is not equivalent to 16x²/y

(2xy)⁴/x²y⁵ is equivalent to 16x²/y

(4x)²/y is equivalent to 16x²/y

(4x)²y¯¹ is equivalent to 16x²/y

(4x/y)² is not equivalent to 16x²/y