Adam was curious if quadrilaterals ABCDABCDA, B, C, D and GFEHGFEHG, F, E, H were congruent, so he tried to map one figure onto the other using transformations:

Adam concluded:
"It's not possible to map ABCDABCDA, B, C, D onto GFEHGFEHG, F, E, H using a sequence of rigid transformations, so the quadrilaterals are not congruent."
What error did Adam make in his conclusion?

Answers

Answer 1

Answers reflection (b)

Step-by-step explanation:

it’s right on 8th grade khan ywwww

Answer 2

So he tried to reflect(b) map one figure onto the other using transformations.

Are quadrilaterals congruent?

If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Are two quadrilaterals congruent?

Both the theorems are proved now which states that quadrilaterals are congruent to one another. Note: Each diagonal of a parallelogram divides the parallelogram into two congruent triangles and the opposite sides of a parallelogram are congruent.

Learn more about the quadrilaterals are not congruent at

https://brainly.com/question/20429

#SPJ2


Related Questions

Point T is on line segment SU. Given SU = 5x, TU = 2x, and ST = 4x – 3,
determine the numerical length of TU.

Answers

Answer:

the length of TU is 6......

The numeric length of TU for the given line segment will be 3 units.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given a line segment SU in between a point T

Now,

SU = ST + TU

5x = 4x - 3 + 2x

5x = 6x - 3

6x - 5x = 3

x = 3

Now,

TU = 2x = 2(3) = 6 units.

Hence "The numeric length of TU for the given line segment will be 3 units".

For more about line segment,

https://brainly.com/question/25727583

#SPJ2

h E l P HELP

(you don’t gotta show your work by the way)

Answers

Answer/Step-by-step explanation:

1. Converting 16 in to cm:

1 in = 2.54 cm

16 in = 16*2.54 = 40.64 cm

2. Converting 345lbs to kg:

1 lbs = 0.4536 kg

345 lbs = 345*0.4536 = 156.492 ≈ 156.49 kg(nearest hundredth)

3. Converting 56 g to oz:

1 g = 0.0353 oz

56 g = 56*0.0353 = 1.9768 ≈ 1.98 oz (nearest hundredth)

4. Converting 450 km to mi:

1 km = 0.6214 mi

450 km = 450*0.6214 = 279.63 mi

5. Converting 1200 ml to fl oz

1 ml = 0.0338 fl oz

1200 ml = 1200*0.0338 = 40.56 fl oz

6. Converting 40 m to ft:

1 m = 3.2808 ft

40 m = 40*3.2808 = 131.23 ft (nearest hundredth)

7. Converting 4 gal to l:

1 gal = 3.785 l

4 gal = 4*3.785 = 15.14 l

8. Converting 12 fl oz to ml:

1 fl oz = 29.575 ml

12 fl oz = 12*29.575 = 354.9 ml

9. Converting 50kg to lbs:

1 kg = 2.2046 lbs

50kg = 50*2.2046 = 110.23 lbs

Which number produces ab irrational number when multipled by 4

Answers

Answer:

Step-by-step explanation:

Hello, any irrational number multiplied by 4 is an irrational number.

For instance, you can take

[tex]\boxed{\sqrt{2}}[/tex]

Thank you

if you have 400 starting in the bank you deposit 250. withdraw 500 withdraw 100

Answers

Answer:

Hey there!

You have 50 dollars left.

400+250-500-100=50

Let me know if this helps :)

p(a) = 0.60, p(b) = 0.20, and p(a and b) = 0.15 what is p(a or b) choices: A. 0.12, B. 0.65, C. 0.40, or D. 0.80 (Note- This is on AP3X)

Answers

Answer:

[tex]P(a\ or\ b) = 0.65[/tex]

Step-by-step explanation:

Given

P(a) = 0.60

P(b) = 0.20

P(a and b) = 0.15

Required

Determine P(a or b)

In probability;

[tex]P(a\ and\ b) = P(a) + P(b) - P(a\ or\ b)[/tex]

Substitute values for P(a and b), P(a) and P(b)

[tex]0.15 = 0.60 + 0.20 - P(a\ or\ b)[/tex]

Collect Like Terms

[tex]P(a\ or\ b) = 0.60 + 0.20 - 0.15[/tex]

[tex]P(a\ or\ b) = 0.65[/tex]

Hence, option B answers the question

Answer

0.65

Step-by-step explanation:

apeeex

what is the greatest common factor of 60 , 8

Answers

Answer:

4

Step-by-step explanation:

The factors of 8 are 1, 2, 4, and 8.

60 is not divisible by 8, but it is divisible by 4:  4 * 15 = 60. So the GCF of 60 and 8 is 4.

If lim f (x) x →5 = 2 and lim g (x) x → 5= -6 which of these limits exist?

Answers

Answer:

E

Step-by-step explanation:

So we already know that:

[tex]\lim_{x \to 5} f(x)=2 \text{ and } \lim_{x \to 5} g(x)=-6[/tex]

So, go through each of the choices and see which ones are correct.

I)

We have:

[tex]\lim_{x \to 5} (f(x)+g(x))[/tex]

This is the same as saying:

[tex]\lim_{x \to 5} f(x)+ \lim_{x \to 5} g(x)[/tex]

And since we already know the values:

[tex]=(2)+(-6)\\=-4[/tex]

So, the limit does indeed exist.

II)

We have:

[tex]\lim_{x \to 5} \frac{f(x)}{g(x)+6}[/tex]

This is the same as:

[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+ \lim_{x \to 5} 6 }[/tex]

The bottom right one is just 6. Simplify:

[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+6}[/tex]

Substitute the values we know:

[tex]=\frac{(2)}{(-6)+6} \\=2/0[/tex]

This is a value over zero. Unlike the indeterminate form 0/0, this limit does not exist.

III)

We have:

[tex]\lim_{x \to 5} \frac{f(x)-2}{g(x)}[/tex]

Again, this is the same as:

[tex]\frac{ (\lim_{x \to 5} f(x))-2}{ \lim_{x \to 5} g(x)}[/tex]

Substitute in the values we know:

[tex]=\frac{(2)-2}{(-6)}\\ =0/-6=0[/tex]

The limit does exist and it is 0.

So, the limits of only I and III exist.

The correct answer is E.

000KS
c. Sumana runs a tea shop and she buys 7.5L of milk everyday. If she
uses 4.75L of milk in the morning and the remaining milk in the
evening. Find the quantity of milk she uses in the evening

Answers

Answer:

2.75 L

Step-by-step explanation:

This is the problem of subtraction.

Total Milk sumana has = 7.5 l

Milk used in the morning = 4.75 L

Milk left for evening = Total Milk sumana has - Milk used in the morning

Milk left for evening = 7.5 l - 4.75 l = 2.75 L

Look at this shape:
Which image shows a rotation?
A
B
с
A
B
с
X 2
Practice with our app

Answers

Answer:

A

Step-by-step explanation:

Image A shows a rotation.  B is a translation.  C is a reflection.

For a confidence level of 85%, find the critical value for a normally distributed variable. The sample mean is normally distributed if the population standard deviation is known.

Answers

Answer:

The  value is  [tex]Z_{\alpha } = 1.439[/tex]

Step-by-step explanation:

From the question we are told that

   The  confidence level is  C  =  85%  

Generally the level of significance is mathematically represented as

         [tex]\alpha = (100 - 85 )\%[/tex]

        [tex]\alpha = 0.15[/tex]

Now from the normal distribution table  the critical value  of [tex]\alpha[/tex] is  

     [tex]Z_{\alpha } = 1.439[/tex]

Suppose coffee is initially brewed at 205 F and the room temperature is 70 F. Determine the value of kk if the temperature of the coffee drops from 205 F to 200 F in the first two minutes after brewing. Round answer to 4 decimal places.

Answers

Answer:

0.0189

Step-by-step explanation:

We solve for this using Newton's Law of cooling.

The formula for Newton's Law of cooling =

T −Ts = (To−Ts)e^-kt

T = Temperature after cooling

To = Initial temperature

Ts = Room temperature

k = constant

t = time = 2 mins

(200 - 70) = (205 - 70)e^-2k

130 = 135e^-2t

e^-2k= 130/135

k = In(130/135)/-2

k = 0.018870164

Approximately to 4 decimal places = 0.0189

Therefore, the value of k = 0.0189

metric conversions, which is bigger

Answers

Answer: 6 m is greater

Step-by-step explanation:

Cm is less than m

Hope it helps

Answer:

25. <

26. <

27. >

28. <

29. <

30. >

Hope it helps!

lovelymoonlight ✨

An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks, d, was 117ft. Use the formula s=24d−−−√ to find s, the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

Answers

Answer:

The speed is 2808 ft/s

Step-by-step explanation:

step one:

In this problem we are  expected  to substitute the value of d in the expression for velocity given as

[tex]s=24d[/tex]

step two:

Given that

d= 117 ft

Substituting the value for d in the given equation we have

[tex]s= 24*117\\\\s=2808 ft/s[/tex]

The problem basically tests our ability to perform basic substitution operation which we have performed, should you have any question or doubt, kindly respond to this question

Answer:

53

Step-by-step explanation:

What happens when the two addends have opposite signs and the number with the larger magnitude (size) is positive?

Answers

Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

[tex]+a + (-b)[/tex]

Open the bracket

[tex]+a -b[/tex]

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

[tex]+6 + (-4)[/tex]

Open the bracket

[tex]= +6 - 4[/tex]

[tex]= 2[/tex]

please help me /:

Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?

Answers

Answer:

  see below

Step-by-step explanation:

The ordered pairs of the inverse function are the reverse of the ordered pairs of the function.

You are given the function has ordered pairs (-3, -2), (3, -1) and so on. The inverse function will have ordered pairs (-2, -3), (-1, 3), and so on. This matches choice A.

CORRECT ANSWER GETS BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

To have Distance proportional to time, the person or object must keep a steady or constant rate like speed.

Let's first look at A runner sprinting in the 100 meter dash, since it tells you nothing about time it goes to not enough information.

Now look at An airplane starting at the end of the runway and taking off, it tells you nothing about time so, not enough information.

Now on to A marathon runner jogging at a constant speed for 45 minutes, this is distance proportional to time, because the runner has a constant rate.

The graph is distance proportional to time because, a straight slanted line indicates a constant speed. If it were curved it would not be constant.

The table with the number is distance not proportional to time because if you find the slopes of (25-5)/(10-5) and (50-25)/(15-10), they are 4 and 5 respectively which means there will not be a straight line on the graph.

Lastly, an airplane traveling at a constant speed across the country is distance directly proportional to time because it has a constant rate which is speed.

Simplify the expression:
(10x2 -1 + 4x) + (3 + 5x2 - 4x)

Answers

Answer:

[tex] \boxed{\sf 15x^2 + 2} [/tex]

Step-by-step explanation:

Simplify the expression:

[tex] \sf \implies(10 {x}^{2} - 1 + 4x) + (3 + 5 {x}^{2} - 4x)[/tex]

Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):

[tex] \sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)[/tex]

10x² + 5x² = 15x²:

[tex] \sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)[/tex]

3 - 1 = 2:

[tex] \sf \implies 15 x^2 + (4 x - 4 x) + 2[/tex]

4 x - 4 x = 0:

[tex] \sf \implies 15 x^2 + 2[/tex]

which of the following represents the factorization of the trinomial below x^2-17x+30

Answers

Hello, if [tex]x_1[/tex] and [tex]x_2[/tex] are two zeroes, we can write

[tex]x^2-17x+30=(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2[/tex]

It means that the coefficients in x must be equal, meaning

[tex]x_1+x_2=17=2+15[/tex]

and the constant terms must be equal, meaning

[tex]x_1\cdot x_2=30 = 2 * 15[/tex]

So the zeroes are 2 and 15.

[tex]x^2-17x+30=x^2-15x-2x+30\\\\=x(x-15)-2(x-15)\\\\\boxed{=(x-2)(x-15)}[/tex]

Thank you

Brenda bought a coat for $20. She also paid $1.50 in tax. What kind of tax did Brenda pay on the coat?

Answers

Answer:

Sales Tax

Step-by-step explanation:

7^1 in expanded form​

Answers

Step-by-step explanation:

[tex] {7}^{1} = 7 \times 1 \\ = 7[/tex]

Someone, please help me with this.

Answers

Answer:

14

Step-by-step explanation:

7x-1+6x-1=180

13x-2=180

13x=180+2

13x=182

x=14

I NEED HELP PLEASE
name each angle in as many different ways as possible

Answers

4 Answers:  [tex]\angle JLG[/tex] [tex]\angle GLJ[/tex] [tex]\angle 2[/tex][tex]\angle L[/tex]  (see note below)

========================================

Explanation:

To name an angle, we list 3 points on the angle such that the middle point is the vertex of the angle. The vertex is where the two rays are joined (at the endpoints).

So we could say "angle JLG" as you wrote in the first box, or we could say "angle GLJ". This is the same because L is in the middle each time. So the order doesn't matter as long as L is in the middle.

The third way to name this angle is to say "angle 2" or [tex]\angle 2[/tex] for short.

Another way to write this angle is to name it by the vertex point alone.

----------------------

Note: In this case, saying "angle L" is enough info to be able to pinpoint the proper angle. Though in general this naming convention is very limited. If we had other rays attached to point L (say ray LH where point H is not on any of the two rays shown), then writing "angle L" is ambiguous. So keep this in mind.

Does the table describe x as a function of y?
х
у
-3
-2
Does the table describe x as a function of y?
O A. Yes, each output y is assigned to exactly one input x.
O B. No, more than one output value y is assigned to the input x-value
OC. No, more than one output value x is assigned to the input y-value
OD. Yes, exactly one output x is assigned to each input y.
-
3
6
0
7
1
7
2
4
3
- 1
Click to select and enter your answer(s) and then click Check Answer.

Answers

Answer:

C. No, more than one output value x is assigned to the input y-value

Step-by-step explanation:

Given

х      у

-3    -2

3     6

0      7

1       7

2      4

3     - 1

Required

State if the table shows x as a function of y

x being a function of y means

[tex]x = f(y)[/tex]

i.e. x represents the output while y represents the input of the function

Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established

Having said;

Next step: We have to examine the x and y column

In the y column, the value 7 occurred twice (as shown below)

х      у

0      7

1       7

This implies that;

Input 7 gives output of 0 and 1.

Hence, this is not a function.

Option C answers the question.

Jan is constructing an inscribed regular hexagon for the circle shown. Point A will be one vertex of the hexagon. What step should be completed next?

Answers

Answer:

D) set the width of the compass to equal AP

Step-by-step explanation:

Regular hexagon has a property that its side is equal to radius. The step which should be taken is to set the length of compass equal to radius which is the distance AP.

Correct answer option is D)

Answer options:

A) draw a ray from point P through A B) construct a diameter of the circle C) place a second point on the circle D) set the width of the compass to equal AP

Suppose a horticulturist measures the aboveground height growth rate of four different ornamental shrub species grown in a greenhouse. The shrubs were grown from a random sample of seeds, and they were all grown in the same soil mixture and in the same size pot. To ensure that any slight differences in the environmental conditions throughout the greenhouse are not confounded with species, she randomizes the location of the pots throughout the greenhouse. The table contains a summary of her data. Population Sample Sample Sample Population description size standard deviation 17.153 cm/year 2.666 cm/year x2 = 13.983 cm/year s2-3.605 cm/year 15.120 cm/year3 3.774 cm/year x4-14.328 cm/year s.-3.011cm/year mean 1 Species 1 n1-20 Species 2 n2=20 3 Species 3 n 20 Species 4 n4-20 The growth rate distributions of each sample are approximately normal, and the data do not contain outliers. The horticulturist uses a one-way analysis of variance (ANOVA) at a significance level of a 0.05 to test if the mean growth rates of all four species are equal. Her results are shown in the table. Source of variation Between groups Within groups Total ss MS p-valuef-critical 120.988 3 40.329 3.7160.0152.725 824.710 76 10851 945.697 79Complete the sentence to state the decision and conclusion of horticulturist test.The decision is to ________the ___________at a significant level of________ α=0.05 There is _______ evidence to conclude that __________ is__________.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean  is different from  at least of the population  

Step-by-step explanation:

From the question we are told that the claim is

     The mean growth rates of all four species are equal.

The  null hypothesis is  

             [tex]H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4[/tex]

Th alternative hypothesis is    

             [tex]H_a: at \ least \ one \ of \ the \ means \ is \not\ equal[/tex]

From question the p-value is [tex]p-value = 0.015[/tex]

  And since the [tex]p-value < \alpha[/tex] so the null hypothesis will be rejected

So  

   The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean  is different from  at least of the population  

If 4x— 3 = 2x + 9, then x = ?
x=6
x=2
x=1
x=3

Answers

Answer:

x=6 is the answer

Step-by-step explanation:

4x-3=2x+9

adding 3 on both sides

4x-3+3=2x+9+3

4x=2x+12

subtracting 2x on both sides

4x-2x=2x-2x+12

2x=12

dividing 2 on both sides

2x/2=12/2

x=6 is the answer.

hope it will help you :)

Step-by-step explanation:

4x - 3 = 2x + 9

Bringing like terms on one side

4x - 2x = 9 + 3

2x = 12

x = 12/ 2

x = 6

13. – 5x – 10 = 2-2(x – 4)

Answers

Answer:

[tex] \boxed{ \boxed{ \bold{ \purple{ - 6.67}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 5x - 10 = 2 - 2(x - 4)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{ - 5x - 10 = 2 - 2x + 8}[/tex]

Move constant to right hand side and change it's sign

Similarly , Move variable to left hand side and change it's sign

⇒[tex] \sf{ - 5x + 2x = 2 + 8 + 10}[/tex]

Collect like terms

⇒[tex] \sf{ - 3x = 2 + 8 + 10}[/tex]

Add the numbers

⇒[tex] \sf{ - 3x = 20}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{20}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 6.67}[/tex]

Hope I helped !

best regards!!

Y=x-1 4x+8=y solve the system

Answers

-3 and y is -4 . hope that helped !

In a​ state's Pick 3 lottery​ game, you pay ​$1.15 to select a sequence of three digits​ (from 0 to​ 9), such as 966. If you select the same sequence of three digits that are​ drawn, you win and collect ​$258.35. Complete parts​ (a) through​ (e).
a. How many different selections are​ possible?
b. What is the probability of​ winning? ​(Type an integer or a​decimal.)
c. If you​ win, what is your net​ profit? ​​(Type an integer or a​ decimal.)
d. Find the expected value. ​$ (Round to the nearest hundredth as​ needed.)
e. If you bet $ 1.15 in a certain​ state's Pick 4​ game, the expected value is negative −$0.89. Which bet is​ better, a ​$1.15 bet in the Pick 3 game or a $ 1.15$ bet in the Pick 4​ game?
Explain.
A. Neither bet is better because both games have the same expected value.
B. The Pick 4 game is a better bet because it has a larger expected value.
C. The Pick 3 game is a better bet because it has a larger expected value.

Answers

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = ​$258.35

Amount staked = ​$1.15

Thus;

Net profit on winning = ​$258.35 - ​$1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain​ state's Pick 4​ game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

The Futurists, a rock group, are planning a concert tour with performances to be
given in five cities: San Francisco, Los Angeles, San Diego, Denver, and Las Vegas.
how many ways can they arrange their itinerary if

a.There are no restrictions?

b.The tree performances in California must be given consecutively?​

Answers

Answer:

a. 24

b. 12

Step-by-step explanation:

a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.

4 * 3 * 2 * 1 = 24

b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.

3 * 2 * 1 = 6

Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.

6 * 2 = 12

Other Questions
What is the slope of the graph ? Leave your answer as a reduced fraction . The characteristics of individuals about which we collect information are called a total eclipse solar eclipse in 2003 lasted 5 3/20 minutes in Wizard viewed from the southern hemisphere the next total eclipse in 2005 lasted 3 2/3 minutes and was viewed from the Northern Hemisphere how much longer was the 2003 solar eclipse? the population of California is about 39 million is this greater than or less then 107 What is the slope of the function y=4x+6y=4x+6 Answer value f(x) =x+2 g(x)=x-4 (fg)(x) 35 points answer quickly please. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers. (a) 2x+4(x-1)=2+4x (b) 25-x=15-(3x+10) (c) 4x=2x+2x+5(x-x) What autonomous republics are part of the North Caucasus? SouthCaucasus? in thefallowing AB llcD the value is equal to60 754530 Suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are computer literate. Is it unusual (using P(x) less than 0.05) to find four computer literates among four randomly selected people? A sample of gas occupies a volume of 61.5 mL . As it expands, it does 130.1 J of work on its surroundings at a constant pressure of 783 Torr . What is the final volume of the gas? g This is an example ofwhich type of drawingin geometry?A. A netB. A perspective drawingC. A 3 dimensional sketchD. An orthographic drawing Can someone answer this as soon as possible please thank you so much Summer and Madison both take music lessons weekly.A. simpleB. compoundC. compound-complexD. complex Sixty years ago, your mother invested $3,800. Today, that investment is worth $430,065.11. What is the average annual rate of return she earned on this investment Facts about human brain The 7-digit numbers in a given area code have the form ABC-XXXX, where X, B, and C can be any digit 1-9 and A isrestricted to 0-9. There are two other restrictions: B and C cannot both equal 1 since these values are designated for other purposes such as 911 (emergency)and 411 (information), and 555-0100 through 555-0199 are reserved for fictional uses such as in television shows or movies.According to these conditions, how many 7-digit numbers are possible in a single areacode? Texas ranks _________ in terms of state spending per capita, and it ranks _________ in terms of how much money it gets from the federal government per capita. Which of these cytokines are involved in the differentiation of the different formed elements of the blood?A. interleukins B. Hematopoietic cytokines C. interferons D. Tumor necrosis factors What are three ways that a solid, liquid, gas and plasma are different?