Given:

AD = CB

DC = BA

Prove:

∠3 = ∠2



Which of the following triangle congruence theorems would be used in this proof?

ASA
AAS
SSS

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is given by:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

In this problem, we have that:

[tex]\frac{dV}{dt} = 500, r = 70[/tex]

Hence the rate of change of the radius is given as follows:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

[tex]19600\pi\frac{dr}{dt} = 500[/tex]

[tex]\frac{dr}{dt} = \frac{500}{19600\pi}[/tex]

[tex]\frac{dr}{dt} = 0.0081[/tex]

The radius is increasing at a rate of 0.0081 cm per minute.

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Answer:slope is 1/2, intercept is 2.5

Step-by-step explanation:slope is coefficient of x. Intercept is sun of constants on right side when left side is y. Add 3 to both sides

Answer:

2 m.

Step-by-step explanation:

Volume = length * width * depth

70 = 7 * 5 * d     where d = depth

d = 70 / (7*5)

   =  70/35

    = 2 m.

total price of made dolls:

n×£8.50

=170×£8.50

=£1445

total cost:

C= 5n+432

C = 5×170+432

C= £1282

profit=price-cost

p= £1445-£1282

= £165

Answer:

Total area = 187.65 cm^2

Step-by-step explanation:

AREA of a triangle = 1/2 base * height

THREE sides    3     * 1/2 *9 *  11.3  = 152.55 cm^2

Bottom                       1/2 * 9 * 7.8  = 35.1 cm^2

  total = 187.65  cm^2

solution

-4(327x-451)

Answer:

the answer is B:42.8

Step-by-step explanation:

because when u do this :24+58+30+42+87+11+ 12+55+91+18 = 428

the total numbers here is 10. so 428÷10 = 42.8

That is how u get ur final answer

u hope have helped you dear

Answer:

The question is incomplete

Step-by-step explanation:

Because the question not tells that what is to be find .

Answer: 4 2/3 or 14/3 if wanting a improper fraction.

its that one dudee!!!!!

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

[tex]\longmapsto\sf{x+x+1=65}[/tex]

Combine like terms:

[tex]\longmapsto\sf{2x+1=65}[/tex]

Subtract 1 from both sides of the equal sign:

[tex]\longmapsto\sf{2x=64}[/tex]

Divide both sides by 2:

[tex]\longmapsto\sf{x=32}[/tex]

To find the second integer, subtract the first integer from the sum of the two integers:

[tex]\longmapsto\pmb{65-32}[/tex]

[tex]\longmapsto\pmb{33}[/tex]

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

Answer:

about 11.7 units (Pls mark me as brainy)

Step-by-step explanation:

Find the width:

length⋅width=  area

4w=44    Plug in known values.

4w/4=44/4    Divide both sides by 4

w=11

Find the diagonal:

(4)^2+(11)^2=  c^2   Use the Pythagorean Theorem.

16+121=  c^2   Simplify.

137=c^2   Simplify.

±√137​= √c^2   Square root both sides.

11.704699...= c   Simplify. Ignore the negative root, as the length must be positive.

11.7≈ c     Round to the nearest tenth.

The length of the diagonal is 11.7 units.

Answer:

d) 20 = (4) (5)

e)-14x = (7) (0) = undefined

f) Every Real numbers are solutions, here.

Step-by-step explanation:

2) Identify the missing factors:-

d) 20 = 4(?)

Solved:

Let us assume that *?* = x here.

e)-14x = (7) (?)

Assume *?* as x

f) x^3=x^2(?)

Assume ? as x

I assume [tex]n\in\mathbb{Z}[/tex] (or at least [tex]n\in\mathbb{N}[/tex]).

[tex]n^2+(n+1)^2=n^2+n^2+2n+1=2n^2+2n+1=2(n^2+n)+1[/tex]

The above is always odd, because one of the factors of [tex]2(n^2+n)[/tex] is even, which makes the product even as well, and 1 is odd, and the sum of an even number and an odd number is an odd number.

Answer: I think it is (6.5, 8).

Step-by-step explanation:

I don't know if you had any choices, but I graphed it on Desmos and that was the closest point. I hope this helps!! :)

Answer: 8/5

Step-by-step explanation:

[tex](g \circ h)(-3)[/tex] is the same as g(h(-3)).

[tex]h(-3)=4-(-3)=7\\g(h(-3))=g(7)=\frac{7+1}{7-2}=\boxed{\frac{8}{5}}[/tex]

Answer:

Step-by-step explanation:

Q1

A graph which uses horizontal or vertical bars with no gaps to represent data is called bar graph.

Q2

Data plotted against the frequency in a histogram is class interval.

Q3

The data plotted against the frequency in an ogive is cumulative frequency.

Q4

A score of 50 under the column > c.f. with the boundaries 23.5 - 28.5 means 50 students got a score greater than 23.5.

Q5

Mean = 2(2) + 3 + 4 + 7(3) + 10 + 11 + 2(12) / 11

Mean = 4 + 7 + 21 + 21 + 24 / 11

Mean = 77/11

The mean is 7

Q6

The median is the middle term.

The median of the distribution is 7

Answer:

.65 litres

Step-by-step explanation:

Answer:

f=82.4

Step-by-step explanation:

f=9c/5+32

f=9x28/5+32

f=252/5+32

f=50.4+32

f=82.4

Answer:

y=10°

Step-by-step explanation:

Here,

→(3x+18)°=(5x-4)°

→18°+4°=5x-3x

→22°=2x

→x=11°

Also,

3(4y+3)°+5x-4°=180°[The sum of the linear pair is 180°]

12y+9°+5x-4°=180°

12y+5°+5×11°=180°

12y+5°+55°=180°

12y=180°-60°

12y=120°

y=120°/12

y=10°

Opposite angles are equal

Now

linear pairs are supplementary

i beliebe 3×=0

ao the answer should be x/0

Answer:

-3x

Step-by-step explanation:

The order of where the terms are placed definitely matter for subtraction. 5x-2x is 3x, but because the smaller number is first, we've gone into the negatives. Think of it like this:

2x - 5x

-2x   -2x

__    __

0      -3x

Because we still have the - in front of the 3, it is a negative 3.

Hope this helps!

Answer:

0.4= 4/10= 2/5

Step-by-step explanation:

The first decimal place after the point represent the place holder "tenth's"

0.4 = 4/10

This can simply to 2/5

Hope it will help:-)

2 over 5

Step-by-step explanation:

0.4=4 over 10 simplify=2over5

Answer:

depends on how much beer is left

Step-by-step explanation:

45 people would it take to play a 39 minute game.

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

The percentage is defined as the ratio expressed as a fraction of 100.The percentage is denoted by sign of %.For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.

Given that,

It takes 15 people to play a 13 minute pool game

So, a 23 minute pool game played by 15 people

A one minute pool game played by 15/13 people

The ratio of one minute pool game to people = 15 : 13

A 39 minute pool game played by number of people = 39(15/13)

A 39 minute pool game played by number of people = 45

Hence, 45 people would it take to play a 39 minute game.

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Answer: Coordinate (1,6)

Step-by-step explanation: Because it is located on one of the corners already if you count the spaces! I hope this helped!! :D

Answer:

the person above me is right its (1,6) its the only one thats located on a corner

Step-by-step explanation:

When starting a problem, almost every single problem needs to be understood by the person answering so they can see what needs to be done.  In this example, we are given an expression and told to solve the equation which means that we need to solve for the unknown, in this case x.

Now that we know what we must do, we can start to solve the problem. Looking at the problem we can see that the step that we must take is to distribute 3 into the parenthesis.

Distribute

Now that we distributed the values inside of the parenthesis we can move onto the next step which is to help isolate x.  What we should do is subtract 6 from both sides which will help leave x with its coefficient alone.

Subtract 6 from both sides

The next step that we should take to help solve for the unknown is to subtract 3x from both sides.

Subtract 3x from both sides

The final step that we must take to help isolate the unknown would be to divide both sides by 3.  This would remove the coefficient from x and we would get -21 divided by 3.

Divide both sides by 3

Therefore, after simplifying the expression that was given to solve for the unknown we were able to determine that the option that would best match the solution is option A, x = -7.

Answer:

a) x = -7

Step-by-step explanation:

Given: 3(2x + 2) = 3x - 15

1. Distribute:

3(2x) + 3(2) = 3x - 15

⟹ 6x + 6 = 3x - 15

2. Subtract 3x from both sides:

6x - 3x + 6 = 3x - 3x - 15

⟹ 3x + 6 = -15

3. Subtract 6 from both sides:

3x + 6 - 6 = -15 - 6

⟹ 3x = -21

4. Divide both sides by 3:

3x ÷ 3 = -21 ÷ 3

⟹ x = -7

5. Check your work:

3(2x + 2) = 3x - 15

3(2(-7) + 2) = 3(-7) - 15

3(-14 + 2) = -21 - 15

3(-12) = -21 - 15

⟹ -36 = -36 ✔

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Answer:$1,942.50

Step-by-step explanation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.5%/100 = 0.025 per year.

Solving our equation:

A = 1850(1 + (0.025 × 2)) = 1942.5

A = $1,942.50

The total amount accrued, principal plus interest, from simple interest on a principal of $1,850.00 at a rate of 2.5% per year for 2 years is $1,942.50.

Answer:

-0.38

Step-by-step explanation:

Answer:

[tex]4 \sqrt{2} \: i[/tex]

Step-by-step explanation:

[tex] \sqrt{ - 2} + \sqrt{ - 18} \\ ( \sqrt{2} \times \sqrt{ - 1} ) + ( \sqrt{18} \times \sqrt{ - 1} ) \\ ( \sqrt{2} \times \sqrt{ - 1} ) + (3 \sqrt{2} \times \sqrt{ - 1} ) \\ \sqrt{2} i + 3 \sqrt{2} i \\ = 4 \sqrt{2} i[/tex]

The sum of √-2 and √-18 is 4i√2.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

We have √-2 and √-18.

To find the sum of √-2 and √-18 we need to perform addition as

= √-2 + √-18

= √2i + √18i

= √2i  + 3i√2

= 4i√2

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