Complete this proof.

Given: EC AC, DB AC, ∠A = ∠F
Prove: ΔMDF ∼ ΔNCA

Step-by-step explanation:

Cuz sides of square are same, we just find hypotenusa side of triangle (use Phytagoras Theorem) :

c² = a² + b²

c² = 2² + 4²

c² = 4 + 16

c² = 20

c = √20

Side of square is √20 units.

The area of square :

A = s²

= √20²

= √20 × √20

= 20 units²

So, the area of square is 20 units²

Hope it helpful and useful :)

Both distributions are nearly symmetric. And the correct answer is A.

The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.

A histogram is a graphical illustration of information in bars of diverse heights.

A histogram displays the shape and spread of continuous sample data.

The true statements about the data of essay scores for high school sophomores and juniors in a contest are;

the juniors tended to have higher essay scores than the sophomores, the medians of both data sets are equal,

and the histogram is the best way to show that both distributions are nearly symmetric.

Therefore, distributions are symmetric.

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Answer:

Do you have a sheet that I can reflect on so that I can come up with some questions? Thanks.

Step-by-step explanation:

Answer:

The correct answer is 9.

Step-by-step explanation:

Hope this helps you out!

~Lexi

Answer: 9

Step-by-step explanation:

got it right me

Answer:

18-72=90

32-128=160

50-200=250

Answer: 18, 160, 200

Step-by-step explanation: hope it helps...!

Step-by-step explanation:

You have to apply a proportion:

250 : 1.7 = x : 3.74

250 × 3.74 = 1.7 × X

X = 250×3.74 / 1.7 = 550

Answer:

549.78 miles

Step-by-step explanation:

250m / 1.7ft = ~147 miles/ft

147 * 3.74 = 549.78

Answer:

The first one is a line because a line extends infinitely in both directions which the arrows indicate.

The second one is a plane since it is a 2-dimensional shape.

The last one depicts 2 rays because rays have one endpoint, but extend infinitely in the other direction.

Answer:

The first one is a line because a line extends forever in both directions which the arrows indicate.  

The second one is a plane since it is a 2-dimensional shape.  

The last one depicts 2 rays because rays have one endpoint, but extend infinitely in the other direction.

Step-by-step explanation:

I am not copying the other person and I think that he should be marked Brainliest

Answer:2

Step-by-step explanation:

number of pieces given to Jake=x

20-(6x+6)-x=0

x=2

check:

start 20 pieces of gum

Jake gets 2

Jill gets 2*6+6=18

Corrected Question

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

A. (–∞, –3]   (B) [–3, ∞)  (C)(–∞, 15]  (D)[15, ∞)

Answer:

(D)[15, ∞)

Step-by-step explanation:

We want to determine what interval of x includes all possible values of x in: [tex]-3(6 - 2x) \geq 4x + 12[/tex]

First, we open the bracket on the Left hand side

[tex]-18+6x \geq 4x + 12[/tex]

Next, we collect terms with x on the Left hand side and constants on the right hand side.

[tex]6x-4x \geq 12+18\\2x\geq 30\\$Divide both sides by 2\\x \geq 15[/tex]

Therefore, the interval of x which includes all possible values of x is [15, ∞).

Option D is the correct option.

Answer:

I believe it's (6,10).

1x + 8 = 10 + 0.5x

1x - 0.5x = .5x

.5x + 8 = 10

10 - 8 = 2

2/.5 = 4

Therefore, it will take 4 years for the two trees to have grown to the same height.

Answer:

8 years

Step-by-step explanation:

Let's put all of these into percent form.

P(Guilty) = 0.25 = 25%

P(Innocent) = 55%

P(Retrial) = 1/5 = 0.2 = 20%

Next, we need to order them from least to most likely. The least likely event to occur would be the smallest percent, then the next smallest, etc.

Order: Retrial, Guilty, Innocent

Hope this helps! :)

Answer:

retrial, guilty, innocent

Step-by-step explanation:

We need to first convert these into the same kind of format, whether it's all decimals, all fractions, or all percentages. Let's just do decimals.

The guilty is already a decimal: 0.25.

The innocent is a percent. Remember that % simply means "out of 100", so 55% is 55/100. When we divide by 100, we move the decimal point two places to the left, so 55/100 = 0.55.

The retrial is a fraction. Just try to remember that 1/5 always equals 0.2.

The least likely event will be the smallest decimal, which is 0.2. The most likely event is the largest decimal, which is 0.55. So, the order is:

retrial, guilty, innocent

Answer:

(-b) (4a-b)

Step-by-step explanation:

(2a – b)^2- 4a^2

Let m = 2a-b

m^2 - (2a)^2

We know this is the difference of squares

x^2 - y^2 = (x-y)(x+y)

(m-2a) (m+2a)

Replace m with 2a -b

(2a -b-2a) (2a-b+2a)

Simplify

(-b) (4a-b)

Answer:

(4a - b)(-b)

Step-by-step explanation:

If we let x = 2a - b and y = 2a, our expression now looks like

[tex]x^2-y^2[/tex]

This kind of a expression is a common pattern in algebra called a difference of squares, and it can be factored like this (for a visual proof, see the attached image, courtesy of Great Maths Teaching Ideas):

[tex]x^2-y^2=(x+y)(x-y)[/tex]

Replacing x and y with 2a -b and 2a, our expression now becomes

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

So in factored form,

[tex](2a-b)^2-4a^2=(4a-b)(-b)[/tex]

Answer:

The shape of each cross-section of a 3D figure,  relates to the volume because the area of the cross-section is determined by its shape and the area of this cross section is in the sum that calculates the volume of this 3D figure.

Step-by-step explanation:

An infinite sum of all the all the cross-sections of a 3D figure parallel to the base equals the volume of that 3D figure.

Answer:

52.5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1. Combine like terms (x)

Subtract 2 from one side to move it to the other side. *What you do to one side, you must do to the other.

You now have: 5x(-2x)+ 4= 22

Subtract 2 from 5= 3x

You now have 3x+ 4 = 22

*You can’t add 4 to 3x because they are different terms (can’t add whole numbers with an x value)

Subtract 4 to move it to the other side;

3x= 22-4

22-4 = 18

3x=18

Divide by 3 to remove 3 from one side

X= 6 (because 18/3= 6

Answer: x = 6

Explanation: This problem can be done either of two ways by putting the variables together on the left and the numbers together on the right or vice versa.

If we put our variables together on the left and our numbers together on the right, we would start by subtracting

2x from both sides to get 3x + 4 = 22.

Next, we subtract 4 from both sides to get 3x = 18.

Finally, we divide both sides by 3 to get x = 6.

Note that we can check our answer by plugging 6 back in

for both of the x's in the original equation.

So go ahead and check the answer and see if it works.

The required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total marbles [sample space] = 100
Total favorable outcome = 40 = 40%
Now,
Picking another blues marble,
Total marble becomes 99 and the total favorable outcome becomes 39,
Probability of picking marble in two consecutive drawn,
= 40/100 × 39 / 99
= 0.158
= 15.8%

Thus, the required probability of Sarah picking a blue marble on 2 consecutive draws without replacement is 15.8%. Option A is correct.

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Answer:

Mayor or governor

Step-by-step explanation:

That's the Riemann Zeta function. Here s is a complex number.  If you can prove that all the non-trivial zeros of ζ(s) (which includes its analytic continuation to the entire complex plane) are on the line Re(s) = -1/2 then you will become a famous mathematician.  You didn't even ask a question; not a very auspicious start, but don't give up.

If we restrict s to the reals, as Euler first did, we can prove there are an infinity of primes.  Ever since the Zeta function has been closely related to the prime numbers.

One fun fact is ζ(-1) = -1/12, which has spawned lots of bad math claiming the sum of the natural numbers is -1/12,

[tex]-\dfrac{1}{12} = \zeta(-1) = \dfrac{1}{1^{-1}} + \dfrac{1}{2^{-1}} + \dfrac{1}{3^{-1}} + ... = 1 + 2 + 3 + 4 + ...[/tex]

Here it is in Ramanujan's first letter to Hardy.

Answer:

Hes right

Step-by-step explanation:

Answer:

120,050.58

Step-by-step explanation:

-f +2+4f = 8-3f

3f+2 = 8-3f

6f = 6

f = 1

Answer:

f = 1

Step-by-step explanation:

Isolate the variable, f. Note the equal sign, what you do to one side, you do to the other.

Add 3f and subtract 2 from both sides:

-f + 2 (-2) + 4f (+3f) = 8 (-2) - 3f (+3f)

-f + 4f + 3f = 8 - 2

Simplify:

(-f + 7f) = 6

7f - f = 6

6f = 6

Isolate the variable, f. Divide 6 from both sides:

(6f)/6 = (6)/6

f = 6/6

f = 1

1 is your answer for f.

~

Answer:

The circumference is about 44 in.

Step-by-step explanation:

Assuming that 7 in is the radius of the pizza:

[tex]C=2\pi r[/tex]

[tex]C=2\pi 7\\C=14 \pi\\C=43.98 \text{in}[/tex]

Answer:

79

Step-by-step explanation:

81 - p

Let p =2

81-2

79

Answer:

12 - 4

3 - 1

18 - 6

Step-by-step explanation:

This is simply a matter of pluggin in the method, so let's do it shall we?

It wants you to put the a third of each number, so you'll divide each number by three to get what the third is!

VISUAL REPRESENTATION:

12÷3 = 4

3÷3 = 1

18÷3 = 6

The completed table for the given rule y = (1/3)x is given.

To complete the table for the given rule y = (1/3)x, we need to substitute the values of x into the equation and calculate the corresponding values of y.

Using the given rule y = (1/3)x:

1. For x = 12:

y = (1/3) * 12 = 12/3 = 4.

2. For x = 3:

y = (1/3) * 3 = 3/3 = 1.

3. For x = 18:

y = (1/3) * 18 = 18/3 = 6.

Now, the completed table for the given rule is:

x   | y

--------

12  | 4

3   |  1

18  | 6

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Answer:

B

Step-by-step explanation:

Since all other numbers are rational numbers, and with pi being irrational, adding 1/3 to 2pi would keep it irrational.

Answer:

2 pi

Step-by-step explanation:

So lets try and check , why to be lazy ?

1/3+2/3 =1 , as we all know 1 is a rational number.

.

so lets move to another option

Now ,

1/3+2 pi = 7/2 pi , its an irrational number .

we already got the answer , but we will try others too .

( Because i have so much amount of time , let me kill some of it! )

1/3+2 = 2.3333333.... which is again a ratiomal number .

1/3+0.166 = 0.49933333333... which is again a rational number .

Additional Information

Answer:

36

Step-by-step explanation:

You do 12*3 because if 1 sheet of poster board can make 12 post cards, and you have 3 poster boards you will need 3 lots of 12 which is equivalent to 3*12!

Hope this helps!

4500 ≤ 1400 + .05x, where x = sales

800 + .15s = 5000, where s = sales <-- this isn't an inequality, because it's asking for the exact amount of sales Ling needs to get.

(85+76+94+81+y)/5 ≥ 85, where y = next test score

Answer:

5. at least $62,000 worth of cars

6. $28,000 on sales

7. at least an 89

Step-by-step explanation:

5. We have a base salary of $1400 and the earning is 5% on sales (in other words, of the total profits from sales, the salesperson gets 5% of that). If s represents sales, we can say that the salesperson earns:

1400 + 0.05 * s

We want the end product to be at least $4500, so:

1400 + 0.05s ≥ 4500

0.05s ≥ 3100

s ≥ $62,000

The salesperson needs to sell at least $62,000 worth of cars.

6. This is similar to the previous question. Say the number of sales is s. Then, we have:

800 + 15% * s = 5000

800 + 0.15s = 5000

0.15s = 4200

s = 28,000

Ling needs to sell $28,000 on sales.

7. Let's say the last score is x. The average is found by adding all the test scores and dividing by the number of tests:

(85 + 76 + 94 + 81 + x) / 5 ≥ 85

336 + x ≥ 425

x ≥ 89

Latrell needs to earn at least an 89 on his next test to keep his average at 85 or higher.

Answer:

83 liters

Step-by-step explanation:

If we call the amount of liters of the 8% iodine solution by x and the amount of liters of the 44% iodine solution by y, we can write the following equations:

x + y = 200

x*0.08 + y*0.44 = 200*0.29

From the first equation, we have that y = 200 - x

Using this value of y in the second equation, we have that:

0.08x + (200 - x)*0.44 = 58

0.08x + 88 - 0.44x = 58

0.36x = 30

x = 30/0.36 = 83.3333 liters

Rounding to nearest liter, we have x = 83 liters