Prove triangle ABC is congruent to triangle DEF.

Answer:

D. (-1, 3)

Step-by-step explanation:

Substitute the points for x and y, until you find the one that makes the equation true.

A. (-5, 3)

-3x + 4y < 20 <== substitute

-3(-5) + 4(3) < 20

15 + 12 < 20

27 < 20

This statement is false (27 is greater than 20, not less than)

B. (-3, 5)

-3x + 4y < 20

-3(-3) + 4(5) < 20

9 + 20 < 20

29 < 20

This statement is false (29 is greater than 20, not less than)

C. (1, 7)

-3x + 4y < 20

-3(1) + 4(7) < 20

-3 + 28 < 20

25 < 20

This statement is false (25 is greater than 20, not less than)

D. (-1, 3)

-3x + 4y < 20

-3(-1) + 4(3) < 20

3 + 12 < 20

15 < 20

This statement is true (15 is less than 20)

Therefore, the correct answer is D

Hope this helps!

Answer:

[D] (-1,3)

Step-by-step explanation:

To know which ordered pair is in the solution set of -3x+4y < 20 we first need to identify the x-value in the ordered pair and plug it into the equation. When simplify, on the condition the y-value you get is identical as the y-value in the ordered pair, then that ordered pair is a solution to the equation.

Now let's solve:  

To find the solution of the equation is ordered pair substitute the value of x and y co-ordinate to check set of ordered pair is the solution of the given equation.

Given:

-3x + 4y < 20

[A] (-5,3)

-3(-5)+4(3)<20

The left side 27 is not less than the right side 20, which means the statement is false

-3x + 4y < 20

[B] (-3,5)

-3(-3)+4(5)<20

The left side 29 is not less than the right side 20, which means the statement is false

-3x + 4y < 20

[C] (1,7)

-3(1)+4(7)<20

The left side 25 is not less than the right side 20, which means that the given statement is false.

-3x + 4y < 20

[D] (-1,3)

-3(-1)+4(3)<20

The left side 15 is less than the right side 20, which means that the given statement is always true.

Hence, Answer is [D] (-1,3)

[RevyBreeze]

Answer:

  (x, y) = (9, 7)

Step-by-step explanation:

There are numerous ways to find the solution to a system of equations. A quick and easy one is to use a graphing calculator. The attachment shows the solution to be ...

  (x, y) = (9, 7)

__

You can also look for opportunities to do substitution or elimination. Here, the x-coefficients differ by a factor of 2, so it is convenient to subtract twice the first equation from the second. This eliminates the x-variable.

  (-2x -5y) -2(-x -4y) = (-53) -2(-37)

  3y = 21 . . . . . . simplify

  y = 7 . . . . . . . . divide by 3

  -x -4(7) = -37 . . . . . substitute into the first equation

  -x = -9 . . . . . . . . . . . add 28

  x = 9

The solution is (x, y) = (9, 7).

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i        

Let's check one by one

#1

And

Till now it's ok but

But as B$\cap$ C has no elements this expression yields A$\cap$ C

Hence

#2

Solve RHS

But according to first statement second part has no elements so it yields only

And

It denotes to common elements of A and B not all elements of A

Hence

#3

[tex]\\ \rm\Rrightarrow P(A-B)=32[/tex]

[tex]\\ \rm\Rrightarrow 2^{|A-B|}=32[/tex]

[tex]\\ \rm\Rrightarrow 2^{|A-B|}=2^5[/tex]

[tex]\\ \rm\Rrightarrow |A-B|=5[/tex]

[tex]\\ \rm\Rrightarrow A-B=\pm 5[/tex]

As elements can't be negative integer it's only 5.

[tex]\\ \rm\Rrightarrow A\cap B=A-(A-B)=9-5=4\star[/tex]

And

[tex]\\ \rm\Rrightarrow P(B-A)=16[/tex]

[tex]\\ \rm\Rrightarrow 2^{|B-A|}=16[/tex]

[tex]\\ \rm\Rrightarrow 2^{|B-A|}=2^4[/tex]

[tex]\\ \rm\Rrightarrow |B-A|=4[/tex]

[tex]\\ \rm\Rrightarrow B-A=\pm 4[/tex]

Again take it positive 4

[tex]\\ \rm\Rrightarrow B\cap A=B-(B-A)=7-4=3[/tex]

As

[tex]\\ \rm\Rrightarrow A\cap B\neq B\cap A[/tex]

All statements are incorrect

Using the formula for volume and surface area of solids, we have the following:

1. 180 in.³; 258 in.²; $12.9

2. 144 in.³; 184 in.²; $9.2

3. 75 in.³; 228 in.²; $11.4

Volume of a rectangular prism = l × w × h

Surface area of a rectangular prism = 2(wl+hl+hw)

Volume of a square pyramid = 1/3 × a² × h

Surface area of a square pyramid = a² + 2al

Volume of a cylinder = πr²h

Surface area of a cylinder = 2πr( h + r)

1. Volume of the rectangular prism cereal box = 7.5 × 2 × 12 = 180 in.³

Surface area of the rectangular prism cereal box = 2(wl+hl+hw) = 2(2 × 7.5 + 12 × 7.5 + 12 × 2) = 258 in.²

Cost of material for the the rectangular prism cereal box = 258 × 0.05 = $12.9.

2. Volume of the square pyramid cereal box = 1/3 × a² × h = 1/3 × 6² × 12 = 144 in.³

Surface area of the square pyramid cereal box = a² + 2al = 6² + 2(6)(12.3) ≈ 184 in.²

Cost of material for the the square pyramid cereal box = 184 × 0.05 = $9.2.

3. Volume of the cylinder cereal box = πr²h = π(2.5²)(12) = 75 in.³

Surface area of the cylinder cereal box = 2π(2.5)(12 + 2.5) ≈ 228 in.²

Cost of material for the the cylinder cereal box = 228 × 0.05 = $11.4.

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Answer:

y = 2x+7

Step-by-step explanation:

y = mx + c

m = slope

c is the y intercept

so

y = 2x+ 7

Income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses.

Your information is incomplete. Therefore, an overview of a tax will be given. It should be noted that a tax is a compulsory levy that is paid by individuals and businesses.

Also, income tax is the tax that is imposed by the government on the income that is generated by individuals and businesses. This is important to generate revenue for the government.

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Answer:

false

Step-by-step explanation:

false

The total surface area of the remaining solid is 48(4+root3) centimeters square.

We have given that,

Through a regular hexagonal prism whose base edge is 8 cm

Whose height is 12 cm, a hole in the shape of a right prism

Total surface area=2(area of the base)+parameter of base×Height

Height=8cm

Parameter of base=12(2)=24

area of the base=6×root3/4×4^2

We use the given value in the formula

=2×6×root3/4×4^2+24×8

=48root3+192

=48(4+root3)cm^2

Therefore the total surface area of the remaining solid is 48(4+root3)cm^2.

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Question :-

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Radius of the Cylinder is 3 Ft . The Height is given as 5 Ft . And, we have been asked to calculate the Volume of Cylinder .

For calculating the Volume , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi {r}^{2}h \: }} [/tex]

Where ,

Therefore , by Substituting the given values in the above Formula :-

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \pi {r}^{2}h } [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: ({3})^{2} \: \times \: 5 } \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: 9 \: \times \: 5 } \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22\: \times \: 9 \: \times \: 5 }{7}} \\ [/tex]

[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac { \: 990 \: }{7}} \\ [/tex]

[tex] \Longrightarrow \: \: \: \bf { Volume \: _{Cylinder} \: = \: 141.42 } [/tex]

Hence :-

[tex] \underline {\rule {180pt}{4pt}} [/tex]

Answer:

Volume of cylinder is 141.3 ft³ ( Taking value of π as 3.14 )

Step-by-step explanation:

A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume .

We have to , volume of Cylinder .

[tex] \boxed{ \sf{Volume \: of \: Cylinder = \pi r {}^{2} h }}[/tex]

Where ,

[tex] \longrightarrow \: \pi r {}^{2} h[/tex]

Now , substituting values of radius and height :

[tex]\longrightarrow \: 3.14 \times (3) {}^{2} \times 5[/tex]

Now , calculating :

[tex] \longrightarrow 3.14 \times 9 \times5 [/tex]

Firstly , multiplying 9 and 5 :

[tex]\longrightarrow \: 3.14 \times 45[/tex]

Atlast , multiplying 3.14 and 45 :

[tex] \longrightarrow \: \bold{ 141.3}[/tex]

[tex] \red{ \boxed{ \rm{Therefore , \: volume \: of \: cylinder \: is \: 141.3 \: ft {}^{3} }}}[/tex]

Roy bought 35 pounds of pet food.

Addition is one of the four basic operations of arithmetic, The addition of two whole numbers results in the total amount or sum of those values combined.

Addition is the process of finding the total, or sum, by combining two or more numbers.

An example of addition is: 5 + 11 + 3 = 19.

Given that, Roy bought a 25 pound bag and a 10 pound bag of pet food we need to find that how many pounds of pet food did he buy

Since, we are required to find what amount of pet food did Roy bought from the market, here we will simply add both the amounts to get the total amount.

Total food =  25 pound bag + 10 pound bag

= 35 pound bag

Hence, Roy bought 35 pounds of pet food.

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Answer:

5 or 5/8

Step-by-step explanation:

To go from 10/16 to a bottom number/denominator of 8, you have to divide by 2.

Whatever you do to the top, you also do to the bottom, so you would divide 10, the numberator, by 2 to find the missing value.

10/2 is 5.

There is your answer.

Two rigid transformations must be applied:

The solution set can be identified by the fact that domain of quadratic functions is the real domain.

In the field of the Euclidean geometry rigid transformations are transformations applied on geometric loci such that Euclidean distances within the latter are conserved and herein we must determine what rigid transformations we should apply on f(x) to obtain g(x).

After a careful examination, we conclude that following two rigid transformations must be applied:

The solution set represents the set of x-values such that the function exists. As both functions are quadratic equations, then their solutions are described the entire real domain.

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Answer:

65

Step-by-step explanation:

Answer:

2(8-d)

Step-by-step explanation:

Because it says 2 times the difference this means the difference will be multiplied by 2. It also says difference which means that 8 and d must be subtracting

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

Answer:

I'm talking about the boxes:

1st-false, there are 7/19, which is not more

2nd-true, there are 12/19 which is the most

3rd-true, 12/20 of the women like dancing

4th-false, 7/20 like dancing

5th-true, 13/20 don't like dancing

Answer: Below

Step-by-step explanation:

Volume is based off of the formula (base × height/depth), with base being (width × length).

We know the three dimensions of the taller box, so:

7.75 × 2 × 12 = 186

The smaller box is 20% shorter. 12 × 0.8 gives us the 0% height, which is 9.6.

7.75 × 2 × 9.6 = 148.8

Since the problem is asking for the difference of the two volumes we do:

186 - 146.8 = 39.2

Our answer is 39.2

Answer:

The womans age is 25

mothers age is 50

Step-by-step explanation:

add those up and you get 75

Answer:

The woman is 25, and her mother is 50.

Step-by-step explanation:

The woman is half the mother's age.

That means the mother is twice the woman's age.

Let the woman's age be x

The mother's age is 2x.

The sum of the ages is 75.

x + 2x = 75

3x = 75

x = 25

2x = 2(25) = 50

Answer: The woman is 25, and her mother is 50.

Answer:

its 3.4 m

Step-by-step explanation:

i had the same test

Answer:

2.8

Step-by-step explanation:

r=(3V4π)⅓=

(3·91.94·π)⅓≈2.79947

I tried other answer, got it wrong, this one is right.

Answer:

D, assuming that the function continues past the line shown

Step-by-step explanation:

There is no reason that the X is ending on either side. There should be arrows on both ends of the graphed function though.

Answer:

1/3=2/6  d is 2/6

Step-by-step explanation:

Step-by-step explanation:

draw a number line and plot on 7 and make an arrow at the other end of the line

Answer: See attached

Step-by-step explanation:

y > -x + 4

   [] The line will be dashed as this is only greater than, not greater than an equal to like ≥

   [] We will shade above the line because the values are greater than

   [] The line will have a slope of negative one

   [] The line will have a y-intercept of 4

    If you need more than the graph and the details above please let me know.

Answer:

Equation: 1=1

Length of the road after 16 days: 16 miles (if not adding to 53. if adding to 53, the answer is 69)

Explanation:
If they add one mile of road every day, its 1(mile) = 1(day.
Since its one mile every day, 16 days is 16 miles. Adding 53 + 16 = 69