Which method listed below would NOT be used to prove that two triangles are congruent?.
A. Prove that two sides and an included angle of one triangle are congruent to two sides and an included angle of the other triangle.

B. Prove that two angles and an included side of one triangle are congruent to two angles and an included side of the other triangle.

C. Prove all three sets of corresponding sides congruent.

D. Prove all three sets of corresponding angles congruent.

Answer:

450

Step-by-step explanation:

The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons

[tex]=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495[/tex]

The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together

[tex]= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45[/tex]

So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups [tex]= 495-45=450[/tex].

Answer:

10

Step-by-step explanation:

since everything is doubled

we just do 5 multiplyed by 2

Answer: B or -I/2

Step-by-step explanation: I did this question

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

Corresponding segments are proportional.

  2x/12 = (x+4)/9

  18x = 12(x +4) . . . . . multiply by 9·12

  6x = 48 . . . . . . . . . . subtract 12x

  x = 8  . . . . . . . . . . . . divide by 6

Answer:

I think its 502.65 km 2

Step-by-step explanation:

(This is what I think, I might be wrong)

Answer:

502.655km

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$1.60

$2.88

Step-by-step explanation:

To find the selling price of the distributor and the retailer, we first need to find how much the distributor sells each pack of cards.

To find the selling price we use the formula.

Selling Price = Cost + Markup

Cost = $0.80

Markup rate = 100% or 1

Selling Price = 0.80 + (0.80*1)

Selling Price = $1.60

So the distributor sells each pack of cards at $1.60 to the retailer.

Now to find the selling of the retailer, we need to use the selling price of the distributor.

Cost = $1.60

Markup rate = 80% or 0.80

Selling price =  1.60 + (1.60 * 0.80)

Selling price = $2.88

So the retailer sells each pack of cards at $2.88 to the customers.

Answer:

A = $1.60

B = $2.88

Step-by-step explanation:

I did the work on brainly and got it right

Hope this helps :D

Answer:

Step-by-step explanation:

Answer:

just one.. so A

Step-by-step explanation:

Answer:

top left: 1/3

top right: 16

bottom left: 1/3

bottom right: 15

Step-by-step explanation:

Answer:

4/12

Step-by-step explanation:

Answer:

its 2

Step-by-step explanation:

Answer:

The values of x and y that will minimize the cost is 15 ft and 5 ft respectively and the minimum cost will 3,375

Step-by-step explanation:

With a 1125 ft^3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top lush with the ground to catch runoff water, x is the length, y is the height;

x^2*y = 1125

y = 1125/x^2 ----(1)

The total cost of c = 5(x^2 + 4xy) + 10xy

Then,

c = 5(x^2 + 4x*(1125/x^2)} + 10x*(1125/x^2)

c = 5x^2 + 22,500/x + 11,250/x

c = 5x^2 + 33,750/x

To minimize the cost of c, find the derivatives of c; c'

c' = 10x - 33,750/x^2

c' = (10x^3 - 33,750)/x^2

c'(x) = 0; 10x^3 = 33,750

x = ³√33,750 = 15

x = 15; y = 1125/x^2

y = 1125/15^2 = 5

(x,y) = (15,5)

c = 5x^2 + 33,750/x

c = 5*15^2 + 33,750/15 = 3,375

The values of x and y that will minimize it is 15 ft and 5 ft respectively and the minimum cost will 3,375

The values of x and y that will minimize the cost is 15ft and 5ft. The minimum cost is 3,375

We have volume of a rectangular tank = 1125 ft^3

Side of a rectangular tank = x ft and

Length of a rectangular tank =y ft  

So, [tex]x^2y = 1125[/tex]

[tex]y = \frac{1125}{x^2} ...(1)[/tex]

The total cost of rectangular tank (c) = [tex]5(x^2 + 4xy) + 10xy[/tex]

 [tex]c = 5(x^2 + 4x(\frac{1125}{x^2} ) )+ 10x(\frac{1125}{x^2} )\\c = 5x^2 +\frac{22,500}{x} + \frac{11250}{x} \\c = 5x^2 + \frac{33750}{x}[/tex]

Differentiating it w.r.t x, we get

[tex]c' = 10x - 33,750/x^2\\c' =\frac{10x^{3}-33750 }{x^{2} } \\c'(x) = 0\\10x^3 = 33,750\\x = \sqrt[3]{33,750} \\ = 15\\x = 15; y = \frac{1125}{x^2} \\y = \frac{1125}{15^{2} } \\= 5\\(x,y) = (15,5)\\c = 5x^2 + \frac{33750}{x} \\c = 5(15)^2 + 33,750/15 \\= 3,375[/tex]

The values of x and y that will minimize the cost is 15 ft and 5 ft and the the minimum cost is 3,375.

Learn more:https://brainly.com/question/6995312

Answer:

c

Step-by-step explanation:

because the question already told that a table has four chairs. So, we need the number of tables in the cafe to calculate number of chairs

Answer:

7/40

Step-by-step explanation:

7 balls are green-->numerator

7 balls out of 40( in total) are green.

7/40

This means that out of every 40 balls picked, 7 of them should be green.

Answer:

Fraction- 33/4

Decimal- 8.25000

Step-by-step explanation:

Hope this helps!

Brain-List?

Given that,

An expression [tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]

To find,

The value of above expression.

Solution,

We have,

[tex]\dfrac{1}{4}-\dfrac{3}{5}[/tex]

The LCM of 4 and 5 is 20.

[tex]\dfrac{1}{4}-\dfrac{3}{5}=\dfrac{(5)-4(3)}{20}\\\\=\dfrac{5-12}{20}\\\\=\dfrac{-7}{20}[/tex]

So, the required answer is [tex]\dfrac{-7}{20}[/tex].

Answer: y = -2|x| + 1

Step-by-step explanation: it is an absolute value function, y = |x|, moved up one. then we see that it has been flipped. it has also been vertically stretched by a factor of 2.

Answer:

2%

Step-by-step explanation:

Chloe's simple interest for 1 year is $4. You can get this by subtracting the amount she invested from the total amount she got after one year.

Now that we know the simple interest, we can now get the simple interest rate or simple percent interest per year by dividing $4 by $200.

Let's change 0.02 into a percentage.

This means that every year, her investment will earn a 2% simple interest.

Answer:

2%

Step-by-step explanation:

Answer:

I would go with c

Step-by-step explanation:

if it is incorrect sorry

Answer:

Between -2 and 1 is -0.5 and 0.5

Below -2 is -4.5 and -2.5

Above 1 is 4 and 1.5

Step-by-step explanation:

Can i have brainliest?

Answer:

Below -2: -4.5 & -2.5

Between -2 & 1 : -0.5 & 0.5

Above 1: 4 & 1.5

Step-by-step explanation:

Hopefully that helps you guys!!!

Answer:

I my knowledge

option D y=6x

Step-by-step explanation:

and I am 100% sure you

Answer:

y=6x

Step-by-step explanation:

Answer:

More than 6.21 times

Step-by-step explanation:

The common ratio [tex]r=\dfrac{4}{5}[/tex]

Distance of first bounce

[tex]a_1=4\times \dfrac{4}{5}=\dfrac{16}{5}[/tex]

Second bounce

[tex]a_2=ar^{n-1}=\dfrac{16}{5}(\dfrac{4}{5})^{2-1}\\\Rightarrow a_2=\dfrac{16}{5}(\dfrac{4}{5})[/tex]

n bounce

[tex]a_n=ar^{n-1}\\\Rightarrow a_n=\dfrac{16}{5}(\dfrac{4}{5})^{n-1}[/tex]

Now the nth bounce will be less than 1 feet

[tex]\dfrac{16}{5}(\dfrac{4}{5})^{n-1}<1\\\Rightarrow (\dfrac{4}{5})^{n-1}<\dfrac{5}{16}[/tex]

Applying logarithms on both sides we get

[tex](n-1)\ln \dfrac{4}{5}<\ln\dfrac{5}{16}\\\Rightarrow n>\dfrac{\ln\dfrac{5}{16}}{\ln \dfrac{4}{5}}+1[/tex]

The inequality changes as both [tex]\ln\dfrac{5}{16}[/tex] and [tex]\ln \dfrac{4}{5}[/tex] are negative numbers.

So,

[tex]n>6.21[/tex]

Hence, the number of bounces is more than 6.21 times.

Answer:

1,4

Step-by-step explanation:

0,4 1,3 has to be farther

Answer:

(4,0)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

9x-6=3x+12

6x=18 |:6

x=3

Answer:

[tex]y +2 =-6(x - 1)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,-2)[/tex]

[tex]m=-6[/tex]

Required

Determine the point slope equation

This can be determined using the following formula:

[tex]y - y_1 =m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (1,-2)[/tex]

[tex]m=-6[/tex]

So, we have:

[tex]y - (-2) =-6(x - 1)[/tex]

This gives:

[tex]y +2 =-6(x - 1)[/tex]

Hence, the point slope form is [tex]y +2 =-6(x - 1)[/tex]