A bowl contains 10 red marbles and 10 green marbles. A woman selects marbles at random without looking at them. Assume that the woman does not replace the marbles after drawing them. How many marbles must she select to be sure of having at least three marbles of the same color

Answer:

ST = 17 and WY = 32

Step-by-step explanation:

3

SV is a perpendicular bisector and divides Δ RST into 2 congruent triangles with

ST = SR , that is

7x - 4 = 3x + 8 ( subtract 3x from both sides )

4x - 4 = 8 ( add 4 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Then

ST = 7x - 4 = 7(3) - 4 = 21 - 4 = 17

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4

Δ WXY and Δ WXZ are congruent ( both have 3 congruent angles ), then

WZ = WY , that is

9x - 13 = 6x + 2 ( subtract 6x from both sides )

3x - 13 = 2 ( add 13 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

WY = 6x + 2 = 6(5) + 2 = 30 + 2 = 32

I saw that this is from 2 weeks ago so it's probaly too late to answer... if you ever have trouble multiplying exponents use symbolab it's an online calculator that's really good (i use it on all my math exams :)

Answer:

one side length has to be equal in both triangles.

Answer:

To prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent. You could then use ASA or AAS congruence theorems or rigid transformations to prove congruence.

Step-by-step explanation:

[tex]\rightarrow\sf \sqrt{27} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{9(3)} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{ {3}^{2} } \times 3 + 7 \sqrt{5} : \sqrt{2} \\ \rightarrow \large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]

[tex]\large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}[/tex]

[tex]\color{red}{==========================}[/tex]

✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ

✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ

ꕥᴀʀᴀꕥ

Answer:

An=10^n + 1 is the expression for the nth term.

Next three terms:

100001

1000001

10000001

Step-by-step explanation:

The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...

So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.

Now let's find the formula:

A1=11=10+1

A2=101=100+1

A3=1001=1000+1

Notice we have increasing powers of 10 and then just adding 1.

A1=10^1 +1

A2=10^2 +1

A3=10^3 +1

....

An=10^n +1

Answer:

y(x)=2x^3-6x^2+ax+b, a and b are constants

Step-by-step explanation:

d2y/dx2=12x-12, integrating both sides we get

dy/dx=6x^2-12x+a, where a is the integration constant.

Again integrating both sides, we get

y(x)=2x^3-6x^2+ax+b, where b is the integration constant

Answer:

31 degrees

Step-by-step explanation:

the side with the length of 29 can be seen as the radius of a circle.

and the sin value of an angle is the distance of a point on that circle from the x-axis. as the standard sin function is for the standard circle with radius 1, we need to multiply this by the actual radius.

15 = sin(?)×29

sin(?) = 15/29 = 0.5172...

? = 31.14... degrees ≈ 31 degrees

Answer:

3.8; 4

Step-by-step explanation:

In this exercise, you're are required to find the missing values by performing some arithmetic calculations.

For the first part;

Let the missing value be X

Translating the word problem into an algebraic expression, we have;

[tex] X = 2000 * 1.9 * 10^{-6} [/tex]

[tex] X = 3.8 * 10^{-3} [/tex]

For the second part;

Let the missing value be Y.

[tex] 3.8 * 10^{-3} = Y * 9.5 * 10^{-4} [/tex]

[tex] X = \frac {3.8 * 10^{-3}}{9.5 * 10^{-4}} [/tex]

[tex] X = 4 [/tex]

Therefore, the complete sentence would be written as follows;

[tex] 3.8 * 10^{-3} [/tex] is 2000 times greater than [tex] 1.9 * 10^{-6} [/tex]. It is also 4 times greater than [tex] 9.5 * 10^{-4} [/tex]

Answer:

45°

Step-by-step explanation:

80 + 55=135

Every type of triangle has 180 degrees.

180-135=45 degrees.

Answer:

35

hope it help

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Step-by-step explanation:

[tex]247 \div 7 \\ = 37[/tex]

Answer

Conditions for similar polygons. We say two figures are similar if they have the same shape, but not necessarily the same size. If they also have the same size, we say they are congruent. ... If two figures are similar, then they are also congruent.

Answer:

sry, i am doing this for points

Answer:

Positive

Step-by-step explanation:

It gose upwards

Answer:

Length of Sarah rope    = 6 m

Length of Amanda's rope  = 4 m

Length of Mary's rope  = 7 m

Step-by-step explanation:

Let the length of Sarah rope = x

Length of Amanda's rope= x - 2

Length of Mary's rope = (x - 2 ) + 3 = x - 2 + 3 = x + 1

Length of rope = 17 m

x + x - 2 + x + 1 = 17

Combine like terms

x + x + x - 2 + 1 = 17

       3x  - 1 = 17

Add 1 to both sides

3x = 17 + 1

3x = 18

Divide both sides by 3

x = 18/3

x = 6

Length of Sarah rope = x  = 6 m

Length of Amanda's rope= x - 2 = 6 - 2 = 4 m

Length of Mary's rope =   x + 1 = 6 + 1 = 7 m

Answer:

x = 7

Step-by-step explanation:

since we know y = 4, we can plug this into the equation to find x

8x - 2y = 48

8x - 2(4) = 48

8x - 8 = 48

8x = 56

x = 7

Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y=4

8x - 2(4) = 48

8x - 8 = 48

Add 8 to each side

8x -8+8 = 48+8

8x = 56

Divide each side by 8

8x/8 = 56/8

x = 7

Answer:

Step-by-step explanation:

We have to assume that ABCD is a parallelogram. If it isn't, leave a note.

Secondly we have to assume that the angles are consecutive. In a parallelogram, consecutive angles are supplementary.

<A + <B = 180

2x + 5 + 3x - 15 = 180

5x - 10 = 180                    Add 10 to both sides

5x = 190                         Divide by 5

x = 190/5

x = 38

A = 2x + 5

A = 2*38 + 5

A = 81

B = 3x - 15

B = 3*38 - 15

B = 99

Answer:

the answer is 216 m²

Step-by-step explanation:

3 time 6 equals 18

18 times 2 is 36

3 times 10 is 30

30 times 2 is 60

6 times 10 is 60

60 times 2 is 120

120+60+36=216

QUESTION:- PROVE THE IDENTITY

INDENTITY->

[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } = 2 \cosec^{2} (A) [/tex]

ANSWER:-

[tex] \frac{1}{1 - \cos(A) } + \frac{1}{1 +\cos(A) } \\ \\ \\ \frac{(1 + \cos(A)) + (1 - \cos(A))}{(1 - \cos(A))(1 - \cos(A))} \\ \\\\ \frac{2}{ {1}^{2} - \cos^{2} (A) } = \frac{2}{ \sin^{2} (A) } \\\\\\ 2 \cosec^{2} (A) = 2 \cosec^{2} (A) \\ \\ \\ LHS=RHS \\ \\ HENCE \: \: \: PROVED[/tex]

Step-by-step explanation:

1.cross multiply

2.solve the numerator and

multiply the denominator

3.the denominator comes in the formula

4.convert it and your answer is there

Answer:

The answer is "A point on the parabola  and Focus".

Step-by-step explanation:

[tex]= \sqrt{(x - x)^2 + (y- (-p))^2} = \sqrt{(x-0)^2+ (y-p)^2} \\\\= \sqrt{(0)^2 + (y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= \sqrt{(y+p))^2} = \sqrt{(x)^2+ (y-p)^2} \\\\= (y+p) = (x)+ (y-p) \\\\= y+p = x+ y-p \\\\=2p=x\\\\=x=2p[/tex]

Whenever the focus and also the guideline are utilized in determining the parabolic formula, two distances have indeed been equal.

The distance from the direction, as well as a parabolic point, was equal to the distance from the center to a parabolic point.

Answer:

The distance between the directrix and a point on the parabola is set equal to the distance between the focus and the same point on the parabola.

Step-by-step explanation:

Hope this helps! :)

The minimum requirements needed to be a parallelogram is found in Option A quadrilateral, thus Option A is our correct answer.

There are four quadrilaterals given in the option.

We need to check which quadrilateral has the minimum requirements.

The construct a Parallelogram we need:

- The measure of any two non-parallel sides.

- The measure of an angle.

In a Parallelogram, opposite sides are equal and parallel and the opposite angles are equal.

Checking the options given.

Option A:

- Two parallel and equal sides.

- Equal opposite angles.

It meets the minimum requirement to be a parallelogram.

Option B:

The quadrilateral has only two parallel and equal sides.

It does not meet the minimum requirements to be a parallelogram.

Option C:

The quadrilateral has only one parallel and equal side.

It does not meet the minimum requirements to be a parallelogram.

Option D:

It has no parallel and equal sides.

It has equal opposite angles and diagonal bisecting.

But it does not meet the minimum requirements to be a parallelogram.

We see that the minimum requirements needed to be a parallelogram is found in option A,

Hence Option A is our correct answer.

Learn more about parallelogram here:

https://brainly.com/question/26809733

#SPJ2

I don't answer the grammar but if you asked how many kids in total (not counting duplicate people that signed up for both) then 1073 student registered for the courses

Answer:

The correct answer is 6x^2 + 3x - 18

Answer:

#1 is f.

#2 is d.

#3 is a.

#4 is b.

#5 is c.

#6 is g.

#7 is e.

Step-by-step explanation:

The digit "9" is in the ten's place because it is two numbers/spaces left from the decimal. If you make all the other digits "0", you'll be left with a value of 90.

The digit "1" is in the one's place because it is one number/space left from the decimal. Applying the same concept of making all the other digits "0", you'll be left with a value of 1.

The type of digits to the right of the decimal, starting from left to right, are the tenths place, hundredths place, thousandths place, ten-thousandths place, and millionths. Remember and know those digit types based on their position away from the decimal. The value will be there for you to see afterward.

Answer:

8 x^-2

Step-by-step explanation:

2 sqrt(x) * 4x ^ -5/2

Rewriting

2 x^1/2  * 4x ^ -5/2

2*4 = 8

x^1/2 * x^ -5/2  

We know a^b * a^c = a^(b+c)

x^ 1/2 * x^ -5/2 = x^ (1/2 -5/2 ) = x^ (-4/2) = x^-2

8 x^-2

Answer

Mrs. Click's Garden is 6/5 or 1 1/5 square meters.

Explanation

Mrs. Click's has a rectangular garden. To find the area of a rectangle, you multiply the width by the length. To find the area of Mrs. Click's Garden, you multiply 4/5 by 3/2.

To multiply fractions, you multiply the numerator by the denominator.

4×3 is 12 and 5×2 is 10. You get the fraction 12/10, which can be simplified to 6/5, or 1 1/5.

Answer:

x = -5/2

Step-by-step explanation:

12x+4=20x+24

-8x + 4 = 24

-8x = 20

x = -5/2

Answer:

All real numbers is its answer