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

Answer:

no

Step-by-step explanation:

if it's a prism then it wont have a square bottom

Answer: SAS

Step-by-step explanation:

It is given that the two sides are congruent.

The angle between the two congruent sides is also congruent because of the vertical angle theorem.

Since a side, angle, and side are congruent, the theorem is SAS.

Answer:

answer is 6

Step-by-step explanation:

Answer:

The measure of the other angle is 66°.

Step-by-step explanation:

Given that the total angles in a triangle is 180° so in order to find the other angles, you have to subtract :

90° + 24° + θ = 360°

114° + θ = 180°

θ = 66°

Answer:

4,024.076

Step-by-step explanation:

and = Decimal point

0 = tenths 7 = hundredths 6 = thousandths

Answer:

boys:girls

5:4

?:60

multiply 15.

?=75 boys.

Hope it helps.

Answer:

Hello there.

5:4

75:60

Step-by-step explanation:

if 60/4=15, multiply 15 with 5.

your answer is 75.

Hope it helps, thank you.

Answer:

Step-by-step explanation:

The exterior angle is equal to the sum of non-adjacent interior angles

Answer:

(A)

Step-by-step explanation:

4+4=8,4/8 is an equalivent ratio. So the best answer would be A!

Hope this helps:)!

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

Answer:

A.

This assumption is that the distribution of polyunsaturated fat % of each if these four regimes must be with equal variances as well as uniform.

B.

The null hypothesis

H0: μ1 = μ2 = μ3 = μ4

The alternate hypothesis:

H1: at least 2 means are unequal

C.

First we calculate the grand mean

= 1/54[15(42.9)+17(43.1)+8(43.7)+14(43.9)]

= (643.5 +732.7 + 349.6 + 614.6)/54

= 2340.4/54

= 43.341

Sum of squared treatment

= [15(42.9-43.341)²+17(43.1-43.341)²+8(43.7-43.341)²+14(43.9-43.341)²]

= 9.3104

Mean square of treatment

= SST/I-1

= 9.3104/4-1

= 9.3104/3

= 3.1035

Error sum of squared

= (15-1)*(1.3)² + (17-1)*(1.5)² + (8-1)*(1.2)² + (14-1)*(1.2)²

= 88.46

Error mean square

MSE = 88.46/54-4

= 1.7692

Test statistic

= 3.1035/1.7692

= 1.75

Answer:

1=50

2=130

3=50

4=130

5=40

6=30

Step-by-step explanation:

Remember a straight line is 180 degrees and the interior of a triangle always equals to 180 degrees

Hope this Helped! :D

Answer:

-4

Step-by-step explanation:

The equation for slope is as follows:

We can use point P and point V's coordinates to find the slope.

Point P is at (2,4)

Point V is at (3,0)

Let's define all the variables:

y2 = 0 (from point V)

y1 = 4 (from point P)

x2 = 3 (from point V)

x1 = 2 (from point P)

Now that we have all the variables we can plug it into the equation:

[tex]\frac{0-4}{3-2} = \frac{-4}{1} = -4[/tex]

Therefore, the slope of line PV is -4.

I hope this helps!!

Feel free to ask any questions!

- Kay :)

Answer:

We conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Step-by-step explanation:

Given the initial function

{(-3, 7), (1, 5), (4, 13)}

We know that the given function indicates the relation in which each input has only one output.

i.e.

at x = -3, y = 7

at x = 1, y = 5

at x = 4,y = 13

Thus, it represents a function, becaus there is no repetitive inputs.

The only way the above function will no longer be a function we bring a point, adding of which makes the initial function having repetitive inputs.

i.e. if we add (1, 4) to the initial set, the relation will no longer be a function.

because induction of the point (1, 4) causes repetitive inputs because x = 1 is already present in the set.

so adding the point (1, 4)

{(-3, 7), (1, 4), (1, 5), (4, 13)}

Now, check the points (1, 4) and (1, 5).

It is clear that there are multiple outputs for x = 1. In other words, the input is no more a unique value as x=1 has been repeated multiple times.

Therefore, we conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

9514 1404 393

Answer:

  a) 14√5 feet

  b) about 31.3 feet

Step-by-step explanation:

a) The 42-ft hose is the hypotenuse of a right triangle with one leg 28 ft. We are asked to find the other leg. The Pythagorean theorem is useful.

  h² +(28 ft)² = (42 ft)²

  h² = (1764 -784) ft² = 980 ft²

  h = √(196·5) ft

  h = 14√5 ft

__

b) The approximate height is ...

  14√5 ≈ 31.305, about 31.3 feet

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)

Answer: Jolene is a character in Phantom Hourglass.3 1 Biography 2 Non-Canon Appearances 2.1 Phantom Hourglass Manga 3 Nomenclature 4 Gallery 5 References Jolene keeps a vigilant eye out for her old friend Linebeck, with whom Link travels, so that she might get her revenge on him. If she spots the SS Linebeck, she will attack and ambush. If this happens, Link must fight off Jolene, and if he is ...

Answer:

Well thank you so much you too

Step-by-step explanation:

Answer:

u too homie!

Step-by-step explanation:

i want free points

Answer:

Yes.

I feel that since only about 9% of the jurors are being appointed from the county, instead of the more representative 14%, this constitutes reasonable evidence that the jurors are not being randomly selected from the total population.

Step-by-step explanation:

a) Data and Calculations:

County population proportion = 14%

This implies that the country is supposed to have at least 1,386 * 14% = 194 of the jurors used by the court.

Evidence from records show that the county has only 122 of 1,386 = 9% (122/1,386)

This means that about 72 (194 - 122) jurors are not being appointed from the county.

And 72 represents about 5% of 1,386 (72/1,386).  This number is more than half of those being appointed from the county or more than 50% or precisely 59%.

Therefore, this constitutes reasonable evidence that the jurors are not being randomly selected from the total population.  The selection is not representative of the population characteristics.

Answer:

108,404,000

Step-by-step explanation:

Answer:184,400,000

Step-by-step explanation:

good

Answer:

this is the correct answer

Answer:

Step 1

Step-by-step explanation:

His first error occurred in step 1.

The common denominator of [tex] \frac{2}{9} [/tex] and [tex] \frac{1}{5} [/tex] is 45, and not 14.

Common denominator of both fractions, is a number of which both 9 and 5 are its factor. That is, it is a common multiple of 9 and 5.

45 can be divided by 9 without remainder. Also 45 can be divide by 5 without a remainder.

45 would make both fractions common not 14.

Step-by-step explanation:

find something open a bank account with 1.25% singing to the total amount of inches 10 NFL 2808 how much they served in the position he opened their account enter your answer is also came and there's nobody here so I'll just answer on the line so you come soon open a bank account with 1.5 interest amount of Interest some to Hereford Texas ezy842 1.25 then after then get her answer is x * 20

The amount of deposit when he opened the account will be $650.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.

Then the amount of deposit when he opened the account will be given as,

A = P + I

812.5 = P + (P x 1.25 x 20)/100

812.5 = P [1 + 0.25]

812.5 = 1.25P

P = $650

The amount of deposit when he opened the account will be $650.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

Answer:

199.49

Step-by-step explanation:

Answer:

199.49

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

why in kilometers? 87.3 km/h

Answer:

The percentage of assisted living residents had only depression

P(D) =0.32

Step-by-step explanation:

Explanation:-

Given  the percentage of assisted living residents who had both heart disease and depression was 9%

Let The event 'H' be the event of heart disease and 'D' be the event of depression

P(H ∩D) = 9% =0.09

The  percentage with only heart disease was 25%

P(H) = 0.25

The percentage with either condition was 48%.

P(H∪D) = 48%=0.48

By addition theorem on probability

       [tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]

              [tex]0.48 = 0.25 + P(D) -0.09[/tex]

            P(D) = 0.48 -0.16

            P(D) = 0.32  

The percentage of assisted living residents had only depression

P(D) =0.32

Answer:

Step-by-step explanation:

-1 = -3x + 5

add 3x on both sides

3x - 1 = 5

add 1 on both sides

3x = 6

divide both sides by 3 to get x by itself

x = 2

Answer:

20,3193

Step-by-step explanation:

Population decrease per year in city = 3.7%

Current population = 211,000

Next year's population = 211,000*3.7/100

                                      = 7807

                                      = 211,000-7807

                                      =203193

Next year's population= 203193

Therefore, next year's population will be equal to 20,3193.

The next year's population is 203193.

Given that, the population of a city decreases by 3.7% per year.

If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100})^n[/tex].

If the constant decrease in population be R% per annum, then the population after n years = [tex]P(1-\frac{R}{100})^n[/tex].

This year population is 211,000.

Now, [tex]211000(1-\frac{3.7}{100})^1[/tex]

= 211000×0.963

= 203193

Hence, the next year's population is 203193.

To learn more about the population increase and decrease visit:

https://brainly.com/question/27779235.

#SPJ5

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