Determine if the triangles are congruent. If so, identify the theorem or postulate that proves them congruent.

A) SSS
B) not enough info
C) SAS
D) SSA

Answer:

$10 each week

Step-by-step explanation:

The boxes sum is equal to 40.

(x-2)+(x-2)+(x-2)+(x-2)+(x-2) = 40

5x-10 = 40

5x=50

x =50/5

x=10

Answer:

Step-by-step explanation:

[tex](x-2)+(x-2)+(x-2)+(x-2)+(x-2) = 40\\5x - 10 = 40\\5x = 50\\x =10[/tex]

Answer:

y=1

Step-by-step explanation:

you can use those points to find the slope

use the equation [tex]\frac{y_{1} - y_{2}}{x_{1}-x_{2}}[/tex] then plug in the numbers

so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.

so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then

you get y=0*x+1

then 0*x is just zero and it goes away so the equation for this line is y=1

Hope this helps! :)

The equation of the line that passes through the points (-8, 1) and (7, 1) will be y = 1.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The two points are given below.

(-8, 1) and (7, 1)

Then the equation of the line that passes through the points (-8, 1) and (7, 1) will be given as,

(y - 1) = [(1 - 1) / (7 + 8)](x - 7)

y - 1 = 0

y = 1

The equation of the line that passes through the points (-8, 1) and (7, 1) will be y = 1.

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The area of the garden is the amount of space on the garden.

The dimensions of the garden is given as:

15 meters by 20 meters

Let the width of the pedestrian pathway be x.

So, the area of the total garden is:

[tex]Area=(x + 15)(x + 20)[/tex]

In (a), we have:

[tex]Area=(x + 15)(x + 20)[/tex]

The total area is given as: 336.

So, we have:

[tex](x + 15)(x + 20) = 336[/tex]

Expand

[tex]x^2 + 35x + 300 = 336[/tex]

Collect like terms

[tex]x^2 + 35x + 300 - 336 = 0[/tex]

Evaluate

[tex]x^2 + 35x - 36 = 0[/tex]

Expand

[tex]x^2 + 36x -x - 36 = 0[/tex]

Factorize

[tex]x(x + 36) -1(x +36) = 0[/tex]

Factor out x + 36

[tex](x + 36)(x -1) = 0[/tex]

Solve for x

x = -36 or x =1

The width cannot be negative.

Hence, the width of the pathway is 1 meter

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Answer:

5/12

Step-by-step explanation:

1 hour = 60 minutes

[tex]\dfrac{25}{60}=\dfrac{5*5}{5*12}=\dfrac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

Data;

The fraction of an hour that is equivalent to 25 minutes would be the ratio between 25 minutes to 60 minutes which is one hour.

[tex]\frac{25}{60} = \frac{5}{12}[/tex]

The fraction of an hour that is equivalent to 25 minutes is 5/12

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Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{4+3}{-1}=\dfrac{-7}{1}=-7[/tex]

Equation in slope intercept form

[tex]\\ \rm\rightarrowtail y-4=-7(x)[/tex]

[tex]\\ \rm\rightarrowtail y=-7x+4[/tex]

Answer:

[tex]y=-7x+4[/tex]

Step-by-step explanation:

Formulae

Slope-intercept form of a linear function: [tex]y = mx + b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Point-slope form of a linear function:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex]  is a point on the line)

Slope formula

[tex]\textsf{slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points on the line)

Solution

Choose 2 points on the line:

Find the slope using the slope formula:

[tex]\implies \textsf{slope}=\dfrac{-3-4}{1-0}=-7[/tex]

Substitute found value for [tex]m[/tex] and point (0, 4) into the point-slope formula:

[tex]\implies y-4=-7(x-0)[/tex]

[tex]\implies y=-7x+4[/tex]

The sample space for this action of selecting crispy crust (C) or deep crust (D) by two persons are (C, C)(C, D)(D, C)(D, D).

A sample is the collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.

At a pizza shop, customers can select either crispy crust (C) or deep crust (D).

Suppose that two customers place an order and select their crust.

The number of samples will be

Sample size = 2 × 2

Sample size = 4

The combination of the sample will be

Sample = (C, C)(C, D)(D, C)(D, D)

The sample space for this action of selecting crispy crust (C) or deep crust (D) by two persons are (C, C)(C, D)(D, C)(D, D).

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Answer: cc cd dc dd

Step-by-step explanation: did it

Answer:

-2.5 per hour

Step-by-step explanation:

its going down 5 every 2 hours so just divide both by 2 and you got it

The equation illustrates the given information is 5x+4y=200

Cement= a bag x kg

Gravel =a bag of y kg

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

and the total is 200kg

Therefore we get the equation is

5x+4y=200

Therefore the equation illustrates the given information is 5x+4y=200.

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Answer:

step 2 ...they didn't expand the brackets two times

Answer:

the answer is 660 because I used a calculator

Step-by-step explanation:

calculations

Answer:

[tex]\mathrm{Minimum}\:\left(0,\:-4\right)[/tex]

Step-by-step explanation:

[tex]y=\left(x-2\right)\left(x+2\right)[/tex]

[tex]Parabola\:equation\:in\:vertex\:form:[/tex] [tex]y=a\left(x-h\right)^2+k\:\mathrm{\:is\:the\:equation\:in\:vertex\:form\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}[/tex] [tex](h,k)[/tex]

Rewrite y=(x-2)(x+2) in vertex form:

[tex]y=\left(x-0\right)^2-4[/tex]

[tex]\mathrm{The\:parabola\:params\:are:}[/tex]

[tex]a=1,\:h=0,\:k=-4[/tex]

[tex]\mathrm{Therefore\:the\:parabola\:vertex\:is}[/tex]

[tex]\left(h,\:k\right)=\left(0,\:-4\right)[/tex]

[tex]\mathrm{If}\:a < 0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}[/tex]

[tex]\mathrm{If}\:a > 0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}[/tex]

[tex]a=1[/tex]

[tex]\mathrm{Minimum}\:\left(0,\:-4\right)[/tex]

a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares

Answer:

In order for the appropriate answer to be given, you need to include the original measurements as well.

Answer:

[tex]=2.73738[/tex]

Step-by-step explanation:

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000[/tex]

[tex]\frac{5316}{1942}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]\begin{matrix}1942\overline{|\smallspace5316}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2.\:\:\:\:\:\:\:\:\:\:\:\\ 1942\overline{|\smallspace5316.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace8\emptyspace8\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace4\emptyspace3\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]=2.73738[/tex]

Hence, the correct answer is 2.73738

Answer:

2.7 / 2 Remainder 7, view equation below

Step-by-step explanation:

a way to finish this with the same answer:

flip 0.073 around, remove the 0's, and put it next to your 2.7 :)

hope it helps!

let me know!

Answer:

a 280

b 2280

Step-by-step explanation:

a Interest = 2000 * 3.5 * 4

------------------------ = 280

100

b 2000 + 280 = 2280

Answer:

C*C*C*C*C

Step-by-step explanation:

C^5 is C times itself 5 times hence C*C*C*C*C. Hope this helps.

Answer:

16 units

Step-by-step explanation:

A/B = 5/4 = 20/p

5/4 = 20/p

5p = 4 × 20

p = 4 × 4

p = 16

Answer: 16 units

Answer: p(-4= -255

Step-by-step explanation:

p(x)=3x3-2x2+6x-4 The remainder theorem states that when we divide a polynoical          hope this helps

Put -3

[tex]\\ \rm\longmapsto -2(-3)^4+6(-3)^2+3+1[/tex]

[tex]\\ \rm\longmapsto -2(81)+6(9)+4[/tex]

[tex]\\ \rm\longmapsto -162+58[/tex]

[tex]\\ \rm\longmapsto -104[/tex]

Answer:

-600

Step-by-step explanation:

4 x 10 x 3 x 5 x -1

40 x 15 x -1

600 x -1 = -600

Answer:

the sample is biased

Step-by-step explanation:

Answer:

x=71 degrees

Step-by-step explanation:

it is a isosceles triangle so the blank angle is also x

angles of a triangle add up to 180

180=38+2x

2x=142

x=71

Answer:

There are 720 different ways.

Step-by-step explanation:

6! = 720

(1*2*3*4*5*6)

The number of unique ways to arrange the questions will be 36.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Karla who is creating a survey with 6 questions. She suspects that the order of the questions may influence the responses, so she wants to create multiple versions of the survey with the same 6 questions in different orders.

Assume that the she has to arrange the [x] questions. Then the number of unique ways are there to arrange the questions will be x². For [x] = 6, we can write the number of ways to be (6 x 6) = 36.

Therefore, the number of unique ways to arrange the questions will be 36.

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Answer:

89 boxes

Step-by-step explanation:

1610/18= 89.4444444444

Then you round down since only 89 full boxes can be made.

Answer:

How old r u I might b able to help im in 8th grade tho

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

First, we need to firgure out what 1/4 of 18 is (4.5). Then, multiply 4.5*22 to see the gallons left by the average traveled each gallon (99). Clearly, 99 is not equal to or greater than 110.

The factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).

We have the expression:

7x³y+ 14x²y³-7x²y²

A factor is a number that divides another number completely.

Let us take '7x²y' as common in the above expression

7x²y( x + 2y²- y)

7. x.x.y ( x + 2y² - y)

Further, we cannot make any factor.

Therefore, the factors of the given expression will be 7,x, x, y, and ( x + 2y²- y).

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