An arts academy requires there to be teachers for every students and for every . How many students does the academy have per​ teacher? Per​ tutor? How many

Answer: HL, SAS, LL, SSS

Step-by-step explanation:

its that easy

ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.

Options A, B, C, and F are the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

LL congruency

Two triangles are said to be congruent under LL congruence if they have two pairs of corresponding sides that are equal in length and the included angles between these pairs of sides are also equal.

HL congruency

If two right triangles have the same hypotenuse and one corresponding leg, then the two triangles are congruent (have the same shape and size).

Now,

The two triangles are right triangles.

So,

From the definition of congruency, we can say,

ΔJKL and ΔQRS are congruent by:

HL, SAS, SSS, and LL.

Thus,

ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.

Learn more about triangle congruency here:

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Answer:

Answer

3.0/5

10

FluttershyK22

x(4-k)=p

[x(4-k)=p]/x

4-k=p/x

-4 = -4

-k=p/x-4

k=4-p/x

Step-by-step explanation:

Answer:

k = - 4 + p

Step-by-step explanation:

p = x ( 4 - k )

p = 4x - kx

-4x    -4x

4x - p = - kx

divide by -x

-k = 4 - p

divide by -

k = - 4 + p

Hope this helps!!!

Answer:

Step-by-step explanation:

1/2b+8b+(-b) = 7 and 1/2 b

(-9)+(-7) +14 = -2

so the answer is: 7 1/2b -2

Answer:

27/2

Step-by-step explanation:

Hope this helps! Also dont add comments to get gems like bruh ;-;

Answer: 27/2

Step-by-step explanation:

[tex]9\cdot \:1=x\frac{2}{3}[/tex]

[tex]x\frac{2}{3}=9\cdot \:1[/tex]

[tex]x\frac{2}{3}=9[/tex]

[tex]3x\frac{2}{3}=9\cdot \:3[/tex]

2x= 27

x= 27/2

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Answer:

So, your answer to 10z would be 8.

Step-by-step explanation:

All you need to do is plug in 0.8 for z. A cool trick when multiplying by ten is you can move the decimal point over 1 to the right. So, 0.8 would become 08.0, aka 8.

Hope this helps you

Answer:

n = 81

Step-by-step explanation:

The left angle in the upper triangle and 44° are Alternate angles and congruent.

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

n is an exterior angle of the upper triangle, thus

n = 44 + 37 = 81

Answer:

25 percent

Step-by-step explanation:

percent=1/100

16 times x=4

16 times 1/4=4

Answer:

.06 % (6%)

Step-by-step explanation:

I'm not good at explaining but,

Using baseball method I:

1. Wrote it out as a fraction

2. multiplied numerator (4) by the denominator of (16)

3. Then I divided the product of that, 64, by 100 and got .04

Which is 4% (:

Answer:

To the nearest tenth of a meter, this is 3,309.4 m

Step-by-step explanation:

Here, we want to convert the jogging distance to meters only

we have 2 miles 120.3 yards

5,280 ft = 1 mile

2 miles will be 5,280 * 2 = 10,560 ft

3 ft = 1 yard

x ft = 120.3 yards

x = 120.3 * 3 = 360.9 ft

Adding both together to give ft only, we have

360.9 + 10,560 = 10,920.9 ft

1 m = 3.3 ft

x m = 10,920.9 ft

x = 10,920.9/3.3

x = 3,309.363636363636

To the nearest tenth of a meter, this is 3,309.4 m

Answer:

Step-by-step explanation:

Answer:

He uses 23 balloons for each of the 28 events.

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

I divided 644 by 28. There are 644 balloons and you want to split

(divide) into the same number of balloons with none left over. Look for those key words to tell you what type of math your doing. Hope this helps!

Answer:

Step-by-step explanation:

to get the slope, we use the fotmula y2-y1/x2-x1

so that would be

7-3 over -4-(-2)

7-3=4 and -4-(2)=-2

so the slope is -4/2x, or simply -2x

Answer:

x=-4

Step-by-step explanation:

-6x=17+7

-6x=24

x=-4

Answer:

x = -4

Step-by-step explanation:

Add 7 to each side of the equation (left and right of the equal sign) which should get you to -6x = 24. Then multipy both sides by -1 to make the -6x positive and turn the 24 negative. That should leave you with 6x = -24, then divide by 6 on each side and your answer should be x = -4

Answer:

A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x  equals 2.

Step-by-step explanation:

here is a step by step equation:

f(x) = x + 7

if:

x=2

then:

f(2) = 2 + 7 = 9

A function is linear if it can be defined by

f(x) = mx + b

Makes sense? Hope I helped

plus I'm in middle school learning this also.

Answer:

1-9 inclusive

Step-by-step explanation:

Answer: its (A) and sorry if its wrong and tell me if it is and if it is wrong the answer is (C)

Answer:

it is b

Step-by-step explanation:

Answer:

they will meet 10 miles out after 2 hours

Step-by-step explanation:

answer:

36°

step by step explaination:

The regular, convex decagon is a subtle and elegant shape then with 10 exterior angles of 36° , 10 interior angles of 144°

Answer:

100,000m

Step-by-step explanation:

find the square root of 100 squared +1,000squared

9514 1404 393

Answer:

  8x +96 yd

Step-by-step explanation:

The perimeter is the sum of the side lengths. In this case, it will be twice the sum of the overall length and the overall height.

The overall length is the sum of the two horizontal segments at top:

  (x -2) +(3x) = 4x -2

The overall height is the sum of the right-side vertical segments:

  10 + 40 = 50

Then the perimeter is ...

  P = 2(L+W) = 2((4x -2) +50) = 2(4x +48) = 8x +96

The perimeter is 8x +96 yards.

Answer:

The answer is D

The equation that can be used to determine the number of years at which the trees will be an equal height is -

14x + 12 = 16x + 2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.

Variety [A] = 14x + 12

Variety [B] = 16x + 2

The equation that can be used to determine the number of years at which the trees will be an equal height is -

14x + 12 = 16x + 2

Therefore, the equation that can be used to determine the number of years at which the trees will be an equal height is -

14x + 12 = 16x + 2

To solve more questions on straight lines, visit the link below-

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Answer:

X ≥ 20 and f(x) ≥ 1020

Step-by-step explanation:

Answer:

5.8516

Step-by-step explanation:

To find the distance between these 2 points we have to use the distance formula. The distance formula is as follows:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Let's find the variables of this equation:

x2 = 6

x1 = 1

y2 = 4

y1 = 2

Now, we can plug these in to the equation:

[tex]d = \sqrt{(6-1)^2 + (4-2)^2}[/tex]

Next, let's solve:

[tex]d = \sqrt{(5)^2 + (2)^2}\\d = \sqrt{25 + 4} \\d = \sqrt{29} \\d = 5.8516[/tex]

Therefore, the distance between points (1,2) and (6,4) is 5.8516

Hope this helps!!

- Kay :)

Answer:

It would be the 2nd one

Step-by-step explanation:

Answer: One.

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :   8*x-19-(-4-7*x)=0

Pull out like factors :   15x - 15  =   15 • (x - 1)

 Solve :    15   =  0

Solve  :    x-1 = 0  

 Add  1  to both sides of the

Explicación paso a paso:

La ganancia máxima esperada ocurre cuando dU / dx = 0

Dada la función U = - x2 + 500x + 100,000

dU / dx = -2x + 500

Dado que dU / dx = 0

Por lo tanto -2x + 500 = 0

Solución para x;

-2x = -500

x = 500/2

x = 250

Sustituya x = 250 en la función para obtener la máxima ganancia esperada como se muestra;

U = - (250) ^ 2 + 500 (250) + 100.000

U = -62500 + 125000 + 100000

U = 162,500 '

Por lo tanto, la ganancia máxima esperada por las ventas es de 162,500

Answer:

twenty three and 13 hundredths

Answer:

Twenty three point thirteen

Answer:50

Step-by-step explanation:

You are given the domain value which is your "x".

So to solve the problem you fill x as 3

Making the equation f(x)=12(3)+14

12 * 3 = 36

36+14=50

There is your answer!

Answer:

11) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 1 every time but the y-value is not constant. It goes up by 2 from 4.5, 6.5, 8.5, but then at 8.5 to 11.5, it went up by 3 which means that it's not a constant rate of change and is not linear.

12) This table is not linear because linear tables and graphs have a constant rate of change, so in the table, we can see that the x-value goes up by 2 every time but the y-value is not constant. It went down by 14 then 16 and 18. All these numbers and different which means that the table does not have a constant rate of change and is not linear.

Step-by-step explanation:

Always remember that linear tables, graphs, etc have a constant rate of change.

Hope this helps you