Which rigid motion verifies the triangles are congruent by SAS?

Answer:

10

Step-by-step explanation:

Given that:

There are a total of 5 members on a student council.

2 of these members will serve in Spring Formal Committee.

To find:

How many possible spring formal committees can be there ?

Solution:

If the observe this problem closely, we are actually asked nothing but the number of ways to select 2 members out of 5.

This is a simple selection problem in which we have to find the number of ways to select [tex]r[/tex] objects out of [tex]n[/tex].

The number of ways = [tex]_nC_r =\frac {n!}{r!(n-r)!}[/tex]

Here,

[tex]n = 5\\r=2[/tex]

Hence, the required number of ways are:

[tex]_5C_2 =\frac {5!}{2!(5-2)!}\\\Rightarrow \dfrac {5!}{2!3!} = \dfrac {5\times 4\times 3!}{2!3!}\\\Rightarrow \dfrac {5\times 4}{2} = \dfrac{20}{2}\\\Rightarrow \bold{10}[/tex]

So, the number of possible spring formal committees are 10.

Answer:

75%

Step-by-step explanation:

Answer:

6/8

Step-by-step explanation:

An easy way to do this is to draw a giant rectangle. when you do you simply want to stay a line going straight across in the middle. draw 3/4 ontop and 6/8 on the bottom. or another fraction that's close to it. then shade in 3/4 and the same with 6/8. if the shading is the same length, that's how you know it's equivalent

Answer:

90.5

Step-by-step explanation:

T(57)=.18(57)+80.25

T(57)=10.26+80.25

T(57)=90.51   (round to the one descimal place)

your answer would be

T(57)=90.5

The temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Given,

The function T ( x ) = .18 x + 80.25 gives an estimate of the daily high temperature during this period where x is the number of days after April 1, 2015.

We need to evaluate T ( 57 ) (rounded to one decimal place) and then state its physical interpretation.

A function has an input and an output.

Example:

f(x) = x + 5

x = 1

f(1) = 1 + 5 = 6

1 = input

6 = output

Find T(x) at t = 57.

We have,

T(x) = 0.18 x + 80.25

T(57) = 0.18 x 57 + 80.25

T(57) = 10.26 + 80.25

T(57) = 90.51

Rounding to one decimal place.

90.51 = 90.5

T(57) = 90.5

T(57) = 90.5 means that the temperature for 57 days from April 1 2015 is 90.5

Thus the temperature T(57) is 90.5 and it states that the temperature for 57 days from April 1 2015 is 90.5.

Learn more about finding temperature differences at different points of time here:

https://brainly.com/question/17864807?referrer=searchResults

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6x-6

Step-by-step explanation:

add both equations together, then multiply that by 2

2*(2x+3+x-6)

Answer:

6x and -6

Step-by-step explanation:

2x+3 * 2 4x+6

x-6 * 2 = 2x-12

4x+6 + 2x-12 = 6x and -6 inches

Answer:

y=-1x+3

I honestly have no idea how I would explain this. Apologies.

Answer:

[see below]

Step-by-step explanation:

Finding Slope:

m = [tex]\frac{rise}{run}=\frac{0-2}{3-1}=\frac{-2}{2}=-1[/tex]

Using the slope and a point to make a point slope equation:

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

m = -1  (x,y) = (1,2)

Plug values:

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

Convert the equation into slope-intercept:

[tex]y-2=-1(x-1)\\\\y-2=-1x+1\\\\y-2+2=-1x+1+2\\\\y=-1x+3\\\\\boxed{y=-x+3}[/tex]

Hope this helps.

Half of 30 is 15. You can obtain this by dividing it by 2 or multiplying it by 1/2.

Answer:

Option B is correct - The distribution has a region between two data values where no data were observed.

Step-by-step explanation:

To answer this question, i would use a sample histogram to explain the gaps in a histogram.

For example, a histogram has been attached.

The histogram has been plot to show the average height of children of different ages in a particular year.

From the attached image, we can see that all the bars represent average height of different ages.

Now, if one of the bars was to be empty which in this case means that the value there is zero and there is a gap. Since the bar is to represent average height of a particular age, it means that there was no data collected for that age as height cannot be zero!

This same reason applies generally to gaps in histogram which means that no data was collected for that particular bar region.

Thus, Option B is correct - The distribution has a region between two data values where no data were observed.

Multiply from right to left:

Step 1: multiply 6*7 and get 42. Carry the 4 left.

Step 2; multiply 7*7 to get 49. Add the 4 and get 53. Carry the 5 left.

Step 3: multiple 4*7 to get 28. Add 5 and get 33.

Step 4: move the decimal point 2 times to the left.

4.76

*7

_______

33.32

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y + 3 = 7x - 7

y = 7x - 10

Answer:

  y = 3x -7

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -(-4))/(2 -1)(x -1) -4

  y = 3(x -1) -4

  y = 3x -7

Answer:

domain (-inf, +inf)

range [-30, +inf)

y-int = -30

x-int = -10, 3

Step-by-step explanation:

Answer:

$288

Step-by-step explanation:

Answer:

GE = 11 cm.

Step-by-step explanation:

The figure provided is attached below.

The information given is:

CD = 11.5

DE = 5.3

BC = 8

AH = 11

Perimeter = 73.8

BC = FG = EF

HA = GH

AB = GE

The perimeter of any figure is the sum of all its sides.

The perimeter of the figure provided is:

Perimeter = AB + BC + CD + DE + EF + FG + GH + HA

Perimeter = AB + BC + CD + DE + BC + BC + HA + HA

         [tex]73.8=AB+8+11.5+5.3+8+8+11+11[/tex]

         [tex]73.8=AB+62.8[/tex]

         [tex]AB=11[/tex]

The value of side AB is 11 cm.

Then the value of GE is also 11 cm.

Answer:

A) 22812 hotdogs per run

B) 75 runs/yr

C) 4 days in a run

Step-by-step explanation:

We are given;

Production rate;p = 5750 per day

Steady Usage rate;u = 270 per day

Setup cost of hotdog;S = $67

Annual carrying cost (H) = 47 cents = $0.47 per hot dog

No. of Production days; d = 297 days

A) Let's first find the annual demand given by the formula;

Annual demand;D = pd

D = 5750 × 297

D = 1707750 hot dogs/yr

Now, formula for optimal run size is given by;

Q_o = √[(2DS/H) × (p/(p - u))]

Plugging in the relevant values gives;

Q_o = √[(2 × 1707750 × 67/0.47) × (5750/(5650 - 270))]

Q_o =√520375454.7971209

Q_o = 22812 hotdogs per run

B) formula for Number of runs per year is given as;

No. of Runs = D/Q₀

Thus;

no. of runs = 1707750/22812

no. of runs ≈ 75 runs/yr

C) Length of a run is given by the formula;

Length = Q₀/p

Length = 22812/5750

Length ≈ 4 days in a run

Answer: C) Qualitative

The response isn't a numeric value, but rather a name instead. So that's why we have qualitative data here. Specifically, it is nomimal as it deals with names or labels. The data is not ordinal as we cannot sort the labels.

Answer:

The graph is continuous.

Step-by-step explanation:

A continuous graph is depicted with straight smooth lines and not plot points as in a scatter graph.  On the other hand, discrete graphs represent values at specific points along the number line. The most common discrete graphs are those that represent sequences and series. Since, these discrete graphs do not possess a smooth continuous line, they rather have plot points above consecutive integer values, unlike some continuous line graphs.

Answer:

x = 2

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

& is the order of operation.

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

First, add 3x and  subtract 4 from both sides:

-x (+3x) + 4 (-4) = -3x (+3x) + 8 (-4)

-x + 3x = 8 - 4

Simplify. Combine like terms:

3x - x = 8 - 4

2x = 4

Isolate the variable, x. Divide 2 from both sides:

(2x)/2 = (4)/2

x = 4/2

x = 2

x = 2 is your answer.

~

Step-by-step explanation:

this is answer

[tex] - x + 3x = - 4 + 8 \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2x = 2x = 2[/tex]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

We can find the radius using the formula

[tex]radius = \frac{diameter}{2} [/tex]

From the question

diameter = 10.59 cm

So we have

[tex]radius = \frac{10.59}{2} [/tex]

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

Volume of a sphere is given by

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

r = 5.30

The volume of the sphere is

[tex] \frac{4}{3} ( {5.30})^{3} \pi[/tex]

= 623.61451

We have the answer as

Hope this helps you

Answer:

a. (0,0), (2,0), (4,0)

b. (0,0)

Step-by-step explanation:

To find the x-intercept points, you set the equation equal to 0.

0=x³-6x²+8x                                [factor out an x]

0=x(x²-6x+8)                                [factor (x²-6x+8)]

0=x(x-2)(x-4)                               [set each factor equal to 0]

x=0

x-2=0                                           [add both sides by 2]

x=2

x-4=0                                            [add both sides by 4]

x=4

Now, we know our x-intercept points: (0,0), (2,0), (4,0).

To find the y-intercept points, we know that it is located on the y-axis, meaning x=0. We plug in 0 for x, and we will know our y-intercept point.

y=(0)³-6(0)²+8(0)                         [multiply]

y=0

The y-intercept point is (0,0).

Answer:

Hey!

NO IT IS NOT A STATISTICAL QUESTION!

Step-by-step explanation:

This is because you are including ONLY YOU...this wont work as statistics take data from a COLLECTION of people or things!

So a better question will be :

HOW OLD ARE THE PEOPLE IN MY NEIGHBORHOOD?

(averages)

HOPE THIS HELPS!!

Answer:

Step-by-step explanation:

Using the formula for calculating the standard error of the mean to get the standard deviation. The standard error of the mean is expressed as;

SE = S/√n where;

S is the standard deviation

n is the sample size

Given SE = 25 months and n = 1, on substituting this parameters into the formula, we will have;

25 = S/√1

25 = S/1

cross multiply

S = 25*1

S = 25 months

Hence the standard deviation based on the sample is 25 months

Answer:

where is the figure or picture

Answer:

($3.75)n ≤ $20

Step-by-step explanation:

Represent this number by n.  Then the total purchase price can be represented by ($3.75)n ≤ $20, which is appropriate because Cooper can't spend more than $20.

The desired inequality is ($3.75)n ≤ $20.  If a solution is desired, divide both sides by $3/75):

        $20

n ≤ ______ = 5 1/3.

      $3.75

Cooper can purchase up to 5 whole packs of paper and have a bit of money left over.

Answer:

2c + 2 = 16

Hope this helps :)

Answer:

[tex]x<1[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]1+7x+5x<13[/tex]

First, combine like terms:

[tex]1+12x<13[/tex]

Subtract 1 from both sides:

[tex]12x<12[/tex]

Divide both sides by 12:

[tex]x<1[/tex]

And that's our answer :)

Answer:

Step-by-step explanation:

12x + 1 < 13

12x < 12

x < 1

Answer:

The square root of a prime number is always an irrational number, then the product of the square root of a prime number and a nonzero rational number is equivalent to:

"the product of an irrational number and a rational number different than zero...."

We know that the product of an irrational number and a rational number (different than zero) is ALWAYS an irrational number.

Then "When is the product of the square root of a prime number and a nonzero rational number a rational number?"

Never, the product will always be irrational.

Answer: 3 toppings

Step-by-step explanation:

Let x=the number of toppings

12+2.5x=19.5

     2.5x=7.5

           x=3

Hope this helps!! :)

Please let me know if you have any question

Answer:

17. (1.5,9);

18.(-0.3,3.25)

19.(1.06,3.41)

The required midpoints are  Mx(1/2, 9), My (-0.3, 3.25), and  Mz(1 1/5, 3 1/4).

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,

The midpoint between two coordinates (x, y) and (a, b) can be given as M(s, t)
s = x +a /2 ; t = y + b / 2

MIdpoints
For P(3, 5), Q(-2, 13)
s = 3 - 2 / 2 ; t = 5 + 13 /2
s = 1 / 2 ; t = 9
Midpoint  Mx(1/2, 9)

For  P(-2, 2.5), Q(1.4, 4)
s = -2 + 1.4 / 2 ; t = 2.5 + 4 / 2
s = -0.3 ; t = 3.25

Midpoint My (-0.3, 3.25)

For P(4 1/3, 3 1/6), Q (-2 1/5, 3 2/3)

s = (4 1 / 3  - 2 1/5 ) / 2  ; t = (3 1/6 + 3 2/3) / 2
s = 1 1/15        : t = 3 1/4
Midpoints Mz(1 1/5, 3 1/4)

Thus, the required midpoints are  Mx(1/2, 9), My (-0.3, 3.25) and  Mz(1 1/5, 3 1/4).

Learn more about midpoints here:
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