More than twenty people came to a sticker exchange. Every person brought the same number of stickers. Every person brought more than one sticker. In all, there were 141 stickers at the exchange. How many people came to the exchange?

Medians bisect eachother at centroid in ratio 2:1

SU is perpendicular bisector

UY=UZ

So

Apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow VY^2=XS^2-VS^2=80^2-48^2=6400-2304=4096\implies VY=64[/tex]

Answer:

XS = 80

YZ= 132

VY = 64

Step-by-step explanation:

Firstly, SU is a perpendicular bisector

so, UV= UZ and YZ = 2(66) = 132

Each median bisect each other at centre with the ratio 2 : 1

therefore ZS = 80 = XS

now , by using P.G.T

VY² = XS²-VS²

=> 80²-48²

=> 6400-2304

=> 4096

=> √4096

=> 64

VY = 64

Answer:

28.317 litres

62.8 litres

Answer:

infinite

Step-by-step explanation:

Answer:

angle xdq= 90-49= 41

angle uxd= 180-41= 139

Step-by-step explanation:

A right angle equals 90 degrees.

90-49 = angle xdq = 41 degrees

49 + 90 + x = 180

angle x = 41

180-41 = angl uxd = 139

Answer:

x² + x - 12 = 0

Step-by-step explanation:

If x = -4 and x = 3 are solutions to a quadratic equation, then

(x + 4)(x - 3) = 0

Expand the brackets:  x² - 3x + 4x - 12 = 0

Combine like terms:  x² + x - 12 = 0

Answer:

147$

Step-by-step explanation:

105/5 = x/7

x = 105*7/5 = 147

Answer:

I'm certainly late, but it took me a while to figure this one out so I want to leave an answer.

A=-5 B=2 C=19 D=-2

Step-by-step explanation:

I looked back at the video and actually tried to pay attention and the way to figure these problems out is set up all of the degrees of x in an equation. So, take all of the coefficients that are attached to an x^3, and set them up equal to each other. This makes -5=A, which is the first answer. Repeat for x^2 and you have B=2. For x, it becomes 9=2A+C. A is equal to -5 (from the x^3), so you can substitute and get c=19. Repeat for the x^0 term (the constants), and you get 2=2B+D. Plug in the value for B, 2, and get 2=4+D, which then becomes D=-2. That's how you get the answer and I hope this helps somebody.

The values are A=-5, B=2, C=19 and D=-2

Partial fractions are the fractions used for the decomposition of a rational expression. When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction. Hence, basically, it is the reverse of the addition of rational expressions.

Given:(-5x³+2x²+9x+2) / x²+2 =(Ax + B)/x²+2 + (Cx + d)/x²+2 .......(1)

First, we have to perform the long division as follows

The long division gives

(-5x³+2x²+9x+2 )/ x²+2= ( -5x+2)+ (19x-2)/ x²+2

Now, we have to find the partial fraction for  (19x-2)/ x²+2

But, as denominator cannot be factored, So no partial fraction can be calculated.

Thus, (-5x³+2x²+9x+2 )/ x²+2=  ( -5x+2)+ (19x-2)/ x²+2

Comparing it with equation (1), we get

Hence, A=-5, B=2, C=19 and D= -2

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Step-by-step explanation:

We are given that ∠ABC≅∠DEC and ∠GFE≅∠DCE

By Vertical Angles: ∠DEC≅∠GEF and ∠DCE≅∠ACB

By Substitution: ∠ABC≅∠GEF and ∠GFE≅∠ACB

By Angle-Angle Similarity: ΔABC~ΔGEF

Hope this helps! Sorry if I didn't explain well :(

Answer:

ca and diameter

Step-by-step explanation:

Answer:

In the image

Hope this helps!

Step-by-step explanation:

1. AC

2. the diameter

Answer:

1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).

2) First term of the sequence = -9

3) sequence generator = + 4

Step-by-step explanation:

1) The sequence is arithmetic as the same value is added each time (there is a common difference between terms).

2) First term of the sequence = -9

3) sequence generator = + 4

Answer:

Step-by-step explanation:                            

Multiplying both sides of this equation by 2 eliminates the fraction:

                 2v = lbh

and dividing both sides by lb isolates (solves for) h:

                            2v

                   h = ---------

                             lb

Answer:

4

Step-by-step explanation:

{sec(θ) - tan(θ) = 1/4, sec(θ) + tan(θ)} = tan(θ) + sec(θ) = 4

use subsitution

I HOPE THIS HELPSSSSSS

GOOD LUCKKKKKK :)

Answer:

56 meters

none of these

Step-by-step explanation:

4*2=8

8*6=48

48+8=56

Answer:

32

Step-by-step explanation:

you add all the sides and to find the missing side you add 4+4 because it is the opposite and the other 8-6 to get 2 so 4+8+8+6+4+2=32

Answer:

[tex]5\sqrt{185}t[/tex]

Step-by-step explanation:

after time t (hr), the distance between A and starting point is 40t

the distance between B and starting point is 55t

These two distances are perpendicular to each other, so

the distance between A and B is

[tex]\sqrt{(40t)^2+(55t)^2}=\sqrt{4625t^2}=5\sqrt{185}t[/tex]

Answer:

Step-by-step explanation:

equation is:

8.2x=0.2x+0.4

if x is time

8.2x-0.2x=0.4

8x=0.4

x=0.05 hours from when Karen starts and 0.45 hours fromt the time tevin started.

Answer:6%

Step-by-step explanation:

This is pretty much asking what the percentage is!

Answer:

A is 3/y, B is 4y

Step-by-step explanation:

Answer:

C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Step-by-step explanation:

by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Answer:

You carry the 1 bring the 2 then divide by 3 multiply by 4 times the 2nd power then gimme those points.

Step-by-step explanation:

i have no vlue

Multiply each term of 82 by each broken term of 34, i.e.

[tex] \tt \multimap \: 80 \times (30 + 4) + 2 \times (30 + 4)[/tex]

[tex] \tt \nrightarrow \: 80 \times 34 + 2 \times 34[/tex]

[tex] \tt \Rrightarrow \: 2720 + 68[/tex]

[tex] \tt \rightharpoonup \: 2788[/tex]

Multiply each term of 69 by each broken term of 12, i.e.

[tex] \sf \multimap \: 70 \times (10 + 2) - 1(10 + 2)[/tex]

[tex] \sf \nrightarrow \: 70 \times 12 - 1 \times 12[/tex]

[tex] \sf \Rrightarrow \: 840 - 12[/tex]

[tex] \sf \rightharpoondown \: 828[/tex]

Answer:

y ≥ - 0.8

Step-by-step explanation:

[tex]\sqrt{25y^2 +40y+16}[/tex] = 5y + 4

[tex]\sqrt{(5y+4)^2}[/tex] = 5y + 4

5y + 4 = 5y + 4 and 5y + 4 ≥ 0 ⇒ y ≥ - 0.8

y ∈ [ - 0.8 , ∞ )

- ( 5y + 4 ) = 5y + 4

10y = - 8

y = - 0.8

The answer is y ≥ - 0.8

Step-by-step explanation:

we know that sum of all angles of a triangle is 180°

so, angle N + angle O + angle M = 180°

=> (-5b+16)+(-b+8)+(-9b-9) = 180°

=> -5b+16-b+8-9b-9 = 180°

=> -15b+15 = 180°

=> -15b = 180-15

=> -15b = 165

=> b = -165/15

=> b = -11

angle N => -5(-11)+16

=> 55+16 => 71

angle O => -(-11)+8

=> 11+8 => 19

angle M => -9(-11)-9

=> 99-9

=> 90

The Bernoulli counting process depicts that the value of X6 will be 0.

The value of X6 will be:

= N6 - N5

= 3 - 3

= 0

Also, the value of S3 will be:

X1 = 1 - 0 = 1

X2 = 1 - 1 = 0

X3 = 1 - 1 = 0

Therefore, S3 will be:

= X1 + X2 + X3

= 1 + 0 + 0

= 1

In conclusion, the value of S3 is 1.

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x^3 + y^3 + z^3

Cannot be fully factored because it is already in it's most simplistic form.

But, I can halfway factor it, which is

(x+y+z)^3 - 3( yx^2 + zx^2 + xz^2 + yz^2 + xy^2 + zy^2 + 2xyz )

Tammy must give Qiulian 800 cards, so that they have the same number of card.

Given the following data:

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

Qiulian and Tammy have 2400 cards:

[tex]Q+T=2400[/tex]    .....equation 1.

Tammy has twice as many cards as Qiulian:

[tex]T=2Q[/tex]   .....equation 2.

To determine the amount of card that Tammy must give Qiulian so that they have the same number of card:

Substituting eqn. 2 into eqn. 1, we have:

[tex]Q+2Q=2400\\\\3Q=2400\\\\Q=\frac{2400}{3}[/tex]

Q = 800 cards.

For Tammy:

[tex]T =2Q\\\\T=2\times 800[/tex]

T = 1600 cards.

Therefore, Tammy must give Qiulian 800 cards, so that they have the same number of card.

Read more on word problems here: brainly.com/question/13170908

Answer:

x=56

Step-by-step explanation:

Hope this helps!

Answer:

x = 12.05

using sine rule:

[tex]\boxed{sin(a) = \frac{opposite}{hypotenuse} }[/tex]

Here given the angle is 35° and hypotenuse is 21.

To find x:

→ sin(35) = [tex]\frac{x}{21}[/tex]

→ x = 21 * sin(35)

→ x = 12.04510516

→ x = 12.05 ................rounded to nearest tenth.

Answer:

It might be 96. I don't know

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of 4 generated is 7 and number of 7 generated is 5.

Total of 7 + 5 = 12 outcomes out of 50:

The experimental probability of the computer generating a 4 or a 7 is D. 24%.

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]

where P_e(E) is denoting the experimental probability of occurrence of E.

A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.

Outcome 1 2 3 4 5 6 7 8

Number of times outcome occurred

5 8 9 7 4 6 5 6

The Total of 7 + 5 = 12 outcomes out of 50:

The experimental probability of the computer generating a 4 or a 7

P(4 or 7) = 12/50

= 24/100

= 24%

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The answer to the problem(i did this question before) B

The solution to the question by reading the graph is:

When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours.  

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

here, we have,

Mr. Chen is parking in a lot downtown. The graph shows the relationship

between the time and the total cost of parking .

now, we have to find the function for an input of 10 Cost of Parking in Lot 20.

Hence, The solution to the question by reading the graph is:

When x(Time of parking) is 6 hours, y(Cost of Parking) is 12 hours.  

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