Which postulate proves the two triangles congruent?
A. SSS
B. SAS
C. ASA
D. AAS

The location on the number line to plot the sum of the given number is shown in the image attached below.

In Mathematics, a number line simply means a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.

Note: Each interval on this number line represents 1/10.

Next, we would add the given numbers together as follows:

Number = −1 3/10 + 2/5

Number = −13/10 + 2/5

Number = (-13 + 4)/10

Number = -9/10 or -0.9.

Therefore, the sum would be located between -4/5 and -1.

Read more on number line here: brainly.com/question/17325155

#SPJ1

Domain are the inputs of the function. They are the x values of the function

The function gives a parabola. This means the values of x will be from negative infinty to positve infinity

Plotting the graph:

Range are the outputs of the function. They are the y values of the function

From the graph, we see tip of the parabola starts at y = -50 and extends upwards

The y value will be from -50 to positive infinity

ANSWER:

78.5 ft

STEP-BY-STEP EXPLANATION:

One trip equals the circumference of the circle.

The circumference of a circle is calculated by means of the following formula:

Therefore, we substitute and calculate the distance the pony would walk for a trip:

That is, the number of feet the pony walks is 78.5

The cost of the jam Elmo uses to make the sandwiches =$1.65

What is the cost of the jam Elmo uses to make the sandwiches?

B globs of Peanut butter at 4 cents = 4B

J blobs of Jam at 5 cents = 5J

The number of sandwiches is given by the linear equation,

N(4B + 5J ) =$ 2.53

N(4B + 5J ) = 253 cents    ---(1)

The factors of 253 = 1, 11, 23, 253.

Since N > 1 , N is 11 or 23

Considering N = 11

11(4B + 5J ) = 253

4B + 5J  = 23   ---(2)

The possible values of B and J to satisfy the linear equation:

B = 2 and J = 3

Substituting B and J in (2)

4B + 5J  = 23

4 (2) + 5(3) = 23

8 + 15 = 23

23 = 23

The linear equation is verified.

The cost of jam Elmo uses to make the sandwiches =N( 5J)

                                                                                       =11 (5*3)

                                                                                       = 11 *15

                                                                                        = 165 cents or $1.65

The complete question is:

elmo makes N sandwiches for a fundraiser. for each sandwich he uses B globs of peanut butter at 4 cents per glob and J blobs of jam at 5 cents per blob. the cost of the peanut butter and jam to make all the sandwiches is $2.53. assume that B, J, and N are positive integers with N>1. what is the cost of the jam elmo uses to make the sandwiches?

What is a linear equation?

To learn more about linear equations, refer:

https://brainly.com/question/26310043

#SPJ4

Given data:

The given amount of equipment purchased by the Sandra is A=$1,200.

Answer: x=37/3

Step-by-step explanation:

8x-11+5x+2x+6=180 ==> three angles of a triangle add up to 180 degrees

8x+5x+2x-11+6=180

13x+2x-5=180

15x-5=180

15x=185

x=185/15

x=37/3

In a composite transformation as given you make first the transformation in the right and then the transformation in the left.

For the given point: (-7, 3)

1. Rotation 180°

2. Reflection over x-axis:

Answer:

mA = 69 degrees

Step-by-step explanation:

A complementary angle has a measure of 90 degrees.

(2x + 27) + (2x - 21) = 90

Simplify

4x + 6 = 90

-6

4x = 84

/4

x = 21

mA: 2(21) + 27 = 69

Answer:

A = 69°

Step-by-step explanation:

Complementary angles sum 90°

A + B = 90°

(2x + 27) + (2x-21) = 90°

4x + 27 - 21 = 90°

4x + 6 = 90°

4x = 90 - 6

4x = 84°

x = 84°/4

x = 21

Then A:

A = 2x + 27

A = 2*21  +  27

A = 42 + 27

A = 69°

B = 2x - 21

B = 2(21)  + 27

B = 42 - 21

B = 21°

Check:

69 + 21 = 90

The equation that represent the relationship model that will reach $0 in the same number of days as the scenario gave is: y = -2x + 12

To solve this problem, we have to state the equation using the information of the problem.

Information about the problem:

Writing the equation according to the information gave, we have:

y = -2x + 12

Where:

So that (y) equals zero, the number of days (x) should be = 6

y = -2x + 12

0 = -2*6 + 12

0 = -12 + 12

0 = 0

The "y" variable is the dependent variable, because it will change according to the number of days passed (x).

The "x" variable is the independent variable, because it doesn't depend on any other value, just the number of days passed.

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

#SPJ4

we have the function

Part A

For t=0

substitute

Part B

For t=5 years -------> Convert to months

t=60 months

substitute

Part C

Determine horizontal asymptote

The horizontal asymptote is given by the ratio of

P(t)=2,400 ---------> horizontal asymptote

that means

as the value of time t increases ------> the value of the population tends to 2,400 insects

the population cannot be greater than 2400 insects

The range for the function P(t) is the interval [20, 2400)

All real numbers greater than or equal to 20 insects and less than 2400 insects

Part D

Using a graphing tool

Answer: a b C D

Step-by-step explanation:

Reason:

The diagram describes values between -1 and 3. We exclude -1 because of the open hole. We include 3 because of the closed endpoint.

The radius of the cylinder is decreasing at the rate of 0.22 cm per second.

One of the most important and fundamental curvilinear of a geometric shapes, a right circular cylinder has historically been a three-dimensional solid.

Volume of a right circular cylinder = π r² h

Now we differentiate w.r.t to get :

[tex]\frac{dV}{dT} =2 \pi r h\frac{dr}{dt} + \pi r^2\frac{dh}{dt}[/tex]

Taking the values we get :

[tex]-34.3 = 154 \frac{dr}{dt}[/tex]

[tex]\frac{dr}{dt} = -0.22[/tex]

Hence the radius is decreasing at the rate of -0.22 cm per second.

To learn more about cylinder visit:

https://brainly.com/question/16134180

#SPJ4

Yes, the number of scoops proportional.

Define Proportional

A linear relationship between two amounts or variables is indicated by proportionality. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.

Hence, It is proportional. This is because as the number of people increases, the number of scoops also increase.

To read more about the  Proportional.

https://brainly.com/question/19994681

#SPJ13

Each midpoint's coordinate is given by the mean of the respective coordinates of the two endpoints of the segment. Then, if we say M is the midpoint of that segment, we have:

Mx = (-4 + 4)/2 = 0/2 = 0

My = [6 + (-2)]/2 = (6 - 2)/2 = 4/2 = 2

Therefore, writing those coordinates as an ordered pair, we have:

M = (0, 2)

Answer:

A. (1/2) bucket

Step-by-step explanation:

    6           11

4 ------ - 3 ------- = ?

    14          12

14 × 4 = 56

56 + 6 = 62

12 × -3 = -36

-36 - 11 = -47

 62       47

------- - -------

  14        12

 62(12)        47(14)

-------    -     -------

  14(12)         12(14)

744     658       86

------- - ------- = --------

 168     168       168

 86 ÷ 2

-------

168 ÷ 2

43

----- = 0.511

84

0.511 ≈ (1/2)

I hope this helps!

Answer:

1/2 bucket

Step-by-step explanation:

Scatter plot with x axis labeled variable x and y axis labeled variable y. Points go from lower left to upper right.

The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.

A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.

g( x ) = −23( x - 4 )2 + 3

g( -5 ) = −23( -5 - 4 )2 + 3

g( -5 ) = −23( -9 )2 + 3

g( -5 ) = −23( -9 × 2) + 3

g( -5 ) = −23( -18) + 3

g( -5 ) = ( -23 × -18) + 3

g( -5 ) = ( 414 ) + 3

g( -5 ) = 414 + 3

g( -5 ) = 417

Therefore, the output value of g( -5 ) is 417.

Learn more about functions here: brainly.com/question/2541698

#SPJ1

Use 1-Prop Z Int to create a 95% confidence interval.

Z test should be employed because there is only one set of samples collected and the sample size is huge.

An observed percentage is compared to a theoretical one using a one proportion z-test. The test statistic is determined as follows:

z = (p-p0) / √(p0(1-p0)/n)

where:

p = observed sample proportion

p0 = hypothesized population proportion

n = sample size

You can reject the null hypothesis if the p-value associated with the test statistic z is less than your selected level of significance (popular choices are 0.10, 0.05, and 0.01).

To learn more about  null hypothesis click here:

brainly.com/question/28920252

#SPJ4

The equation is, 4x - y = -5

The equation is, x + 2y = 6

The equation is, [tex][tex]y = -\frac{3}{4}x + \frac{29}{4}[/tex][/tex]

The equation is, y = -2x + 5

What is standard form of equation of line?

When A and B are not both zero, a line has the usual form Ax + By = C. The standard form of equation with slope and the point is,[tex][tex]y - y_{1} = m(x - x_1)[/tex][/tex] ...(1)

1. Given:[tex][tex]x_1 = -3, y_1 = -7, m = 4[/tex][/tex]

Plug these values in the above equation,

[tex][tex]y - (-7) = 4(x - (-3)\\ y + 7 = 4(x + 3)\\\\y + 7 = 4x + 12\\y = 4x + 5\\\\4x - y = -5[/tex][/tex]

This is the equation in standard form of line.

2. Given:

[tex][tex]x_1 = 10, y_1 = -2, m = -\frac{1}{2}[/tex][/tex]

Plug these values in the equation (1),

[tex][tex]y - (-2) = -\frac{1}{2} (x - 10)\\y + 2 = -\frac{1}{2} x + 5\\[/tex][/tex]

Multiply both sides by 2.2y + 4 = -x + 10x + 2y = 6

This is the equation in standard form of line.

3. Given:

[tex][tex]x_1 = -1, y_1 = 8, m = -\frac{3}{4}[/tex][/tex]

Plug these values in the equation (1),[tex][tex]y - 8 = -\frac{3}{4}(x - (-1))\\ y -8 = -\frac{3}{4}(x + 1)\\ y - 8 = -\frac{3}{4}x - \frac{3}{4}[/tex][tex]y = -\frac{3}{4}x -\frac{3}{4} + 8\\ y = -\frac{3}{4}x + \frac{29}{4} \\[/tex][/tex]

This is the equation in point slope form.

4. Given:[tex][tex](x_1, y_1) = (-3, 11), (x_2, y_2) = (6, -7)[/tex][/tex]

First to find the slope from the given two points.

[tex][tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-7-11}{6-(-3)}\\ m = \frac{-18}{9\\}\\ m = -2[/tex][/tex]

Now plug m = -2 and one of the given point in the equation (1), we ge[tex]t[tex]y - 11 = -2(x - (-3))\\y - 11 = -2(x + 3)\\y - 11 = -2x - 6\\y = -2x + 5[/tex][/tex]

This is the equation in slope intercept form.

To know more about the standard form of equation of line

https://brainly.com/question/26238391

#SPJ13

To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)

This is:

The exponential expression equivalent to 8^3 that has a base of 2 is 2^9.

What is exponential expression?

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.

Applying the laws of indices,

The expression 8^3 can be written as,

8 x 8 x 8 = (2^3) x (2^3) x (2^3)

               = 2^(3+3+3)             ...{If a^m x a^n then a^(m+n) }

8 x 8 x 8 = 2^9    

Therefore, the exponential expression equivalent to 8^3 that has a base of 2 is 2^9.    

To know more about the exponential expressions, click on the link

https://brainly.com/question/28200743

#SPJ13

Answer:

Domain: (−∞,∞),{x | x ∈ R}

Range: [0,∞),{y|y≥0}

Step-by-step explanation:

We will have the following:

So, the volume is 486 ft^3.

The expression that represents the output value when the input is n is -4 - 2n

From the question, the input parameters are given as

Input 1,2,3,4,n

Similarly, the output parameters are given as

output: -6,-8,-10,-12

So, we have the following table of values

1,2,3,4,n

-6,-8,-10,-12

From the above table of values, we have the following parameters

The output value for the input n is then calculated as

Tn = a + (n - 1) * d

So, we have

Tn = -6 + (n - 1) * -2

Open brackets

Tn = -6 - 2n + 2

Evaluate the like terms

Tn = -4 - 2n

Hence, the output value for the input n is -4 - 2n

Read more about arithmetic sequence at

https://brainly.com/question/7882626

#SPJ1

The parent function of the graph is

The function of the grapg will be

at x equals infinity y equals 1

Therefore

Therefore the function will now be

from the graph

x = 2 when y = 2

Therefore,

Therefore, the function is

Answer:

Step-by-step explanation:

40.833 recurring and 9.166 recurring

or 40 5/6 and 9 1/6

Call the small number 's'

Call the big number 'b'

The word problem says:

B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B

So, 5S-5=B=50-S

Therefore 6S=55 and the rest history!

Answer:

Step-by-step explanation:

In linear equation, 3 number of cups will be needed to marinade 4 pounds of chicken for grill.

What are a definition and an example of a linear equation?

Here we have the data from the question:-

Marcy will use 6 fluid ounces of lemon-garlic marinade for every pound of chicken.

Marcy plans to grill 4 pounds of chicken.

So total marinade required will be:-

Total marinade  =6x4=24 ounces

Now we know that the conversion:-

1 fluid Ounce = 0.125 Cup

24 fluid ounce =0.125 Cup

Hence 3 number of cups will be needed to marinade 4 pounds of chicken for grill.

Learn more about linear equation

brainly.com/question/11897796

#SPJ10

Answer:

B. Undefined

Step-by-step explanation:

x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.

Given

Points (4,2) and (2,1)

Find

Slope of the line

Explanation

Slope of line is given by

so ,

Final Answer

Hence , the slope of line is m = 1/2