How do you prove triangles are congruent using ASA?

The square plot of land has a larger area when x is 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:

A = [tex](6x³)^2 = 36x^6[/tex]square feet

To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:

A = (3x⁵)(7x²) = 21x⁷ square feet

To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:

Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet

Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet

Therefore, the square plot of land has a larger area when x is 3.

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Answer:

A

Step-by-step explanation: add 15+12+7

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The band director can create a trio in 1,260 different ways.

Hence, option C is correct.

Use the concept of permutations,

The formula for permutations is,

⇒  [tex]^{n}P_{r}[/tex] = n! / (n - r)!

Where n is the total number of items and r is the number of items we are selecting.

So in this case, we have,

⇒  n = 15 clarinet players

⇒ n = 12 flute players

⇒ n = 7 saxophone players

⇒ r = 1 clarinet player,

1 flute player, and 1 saxophone player

To find the number of ways we can create a trio with one player from each instrument, we need to calculate,

⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])

⇒  ([tex]^{15}P_{1}[/tex])   = 15! / (15 - 1)!

                = 15! / 14!

                = 15  

This represents the number of ways we can choose one clarinet player out of 15.  

([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!

           = 12! / 11!

           = 12  

This represents the number of ways we can choose one flute player out of 12.

[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!

     = 7! / 6!

     = 7

This represents the number of ways we can choose one saxophone player out of 7.

So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,

⇒ 15 x 12 x 7 = 1,260

Therefore,

The band director can create a trio in 1,260 different ways.

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Answer:

23+32−5+12 is the equaequation simplified

Step-by-step explanation:

Step-by-step explanation:

see attached. hope it's helps

Answer:

10 is the number

Step-by-step explanation:

Given:

The given arithmetic sequence is:

[tex]-3,-1,1,3,...[/tex]

To find:

The recursive formula of the given arithmetic sequence.

Solution:

We have,

[tex]-3,-1,1,3,...[/tex]

Here, the first term is -3. So, [tex]b(1)=-3[/tex].

The common difference is:

[tex]d=-1-(-3)[/tex]

[tex]d=-1+3[/tex]

[tex]d=2[/tex]

The recursive formula of an arithmetic sequence is:

[tex]b(n)=b(n-1)+d[/tex]

Where, d is the common difference.

Putting [tex]d=2[/tex], we get

[tex]b(n)=b(n-1)+2[/tex]

Therefore, the recursive formula of the given arithmetic sequence is [tex]b(n)=b(n-1)+2[/tex], where [tex]b(1)=-3[/tex].

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Answer:

Step-by-step explanation:

10/10 cause everyone is

Answer:

AA by isaiah rashad

Step-by-step explanation:

good song

Answer:

43.6

Step-by-step explanation:

Step-by-step explanation:

1 microsecond is equal to 1000 nanoseconds.

Knowing this, we can multiply 96*1000 to get 96,000.

Then just add the additional 318 nanoseconds.

96,000+318=96,318 nanoseconds.

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

Answer:

A: Explanation: The surface area of a 3-D object is the sum of all the areas of all the 2-D surfaces of the object; so, its unit is the same as that of area. The SI unit of area is square metre (m2)

Answer:

74

Step-by-step explanation:

Answer:

do length x with for both shapes then add together

Step-by-step explanation:

hope this helps

Answer:

369.03

Step-by-step explanation:

The figure is a pyramid with a rectangular base

The formula is A+1/2ps

A=130 (Area of the base)

p=46 (perimeter of the base)

s=15 (slant height)

Answer: 14

Step-by-step explanation:

1. Harry has 25/25 sweets

2. Nadia takes 11/25 sweets

3. Your left with 14/25

Answer:

D

Step-by-step explanation:

If a shape is rotated 180* clockwise around the origin, then it is basically being flipped around which means that the current coordinates would be the opposite of what they currently are. So (3,4) would be (-3, -4).

I think that is the right answer but I'm not 100% sure sorry!

Answer:

100cm

Step-by-step explanation:

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5

Perimeter of the polygon = 24 + 26 + 26 + 24

Perimeter of the polygon = 50 + 50

Perimeter of the polygon = 100cm

Hence the Perimeter of the polygon is 100cm

Answer:

100 cm

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Answer:

26.85 in

Step-by-step explanation:

5+7+7 = 19

C 2πr/2 = 7.85

19+7.85 = 26.85

Answer:

4.5 cubic feet

Step-by-step explanation:

Volume is calculated by length ⋅ width ⋅ height.

In this situation, we need to find the volume of the box and subtract the volume of the present from the volume of the box.

2 1/2 ⋅ 2 ⋅ 1 1/2 = 7 1/2 cubic feet

Now that we have the volume of the box, we can subtract the volume of the present from it.

7 1/2-3 = 4.5 cubic feet  

Answer:

one solution, x=2

Step-by-step explanation:

brainliest?

Answer:

rhymy

Step-by-step explanation:

Answer:

ok so first ur gonna do 4x3=12 then

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

x^2+4x+4 = 0

(x+2)(x+2) = 0

x+2=0

x=-2

Answer:

`15

Step-by-step explanation: i think