Is there enough information given to prove that the following pairs of triangles are congruent? If so, state the postulate or theorem that supports youranswer. If not, state NONE.Word Bank:HL AA CPCTC AAS SSS None SAS

Given the set of data:

5, 4, 16, 21, 10, 6, 15

Let's create a box-and-whisker plot from the given data.

The box and whisker plot has the following properties:

Let's solve for the following:

• Minimum value or lower extreme:

This is the smallest value in the data set.

Here, the minimum value is 4.

• Maximum value or upper extreme:

This is the greatest number in the data set.

Here, the greatest number is 21.

• Median:

This is the middle value after arranging the data in ascending order(from lowest to greatest).

Arranging in ascending order, we have:

4, 5, 6, 10, 15, 16, 21

The middle number above is = 10

Therefore the median is 10.

• Lower quartile:

The lower quartile is the median of the lower half of the data.

To find the lower quartile, let's list the lower half of data first.

Lower half:

4, 5, 6

The median of the lower half of the data is 5.

Therefore, the lower quartile is 5.

• Upper quartile:

The upper quartile is the median of the upper half of the data set.

Upper half of the data set:

15, 16, 21

The median is 16.

The upper quartile is 16.

Therefore the box and whisker plot created from the given data set is:

Option B is correct.

ANSWER:

B

10 - 2(5+11)

Step 1

first, you need to eliminate the () by making the operation inside, it is an addition

10-2(5+11)

10-2(16)

then,

Step 2

do the operation related to the (), it is multiplication, rember a(b) = a*b = (a)b = (a)*(b), the meaning is the same.

10-2(16)

10-32

Step 3

finally, do the subtraction

Solution

For this case we can assume that x = number of minutes that Ebony waited

Then the correct sequence is given by

Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as 56 minutes. Write the inequality as x >56

EXPLANATION

Let's see the facts:

The area of the rectangle is equal to 42 squared units.

Length = 7 units

The perimeter is given by the following relationship:

But i don't know the width, so i can find it by isolating from the area formula as follows:

Isolating the width:

So, width = 6 units

Finally the perimeter is:

The perimeter is 26 units

For the interest calculation we shall apply the simple interest formula which is;

The initial amount is $21890, the rate is 14% (that is 0.14) and the time is 164/365 of a year.

Therefore, the interest calculated would be;

The interest payable at the end of 164 days is $1,376.90 (rounded to the nearest cent).

Therefore, the amount Juan would pay back is;

Answer:

n=639.48

Step-by-step explanation:

i love my life

Answer: 8.33--

Step-by-step explanation:

73/8.76

The entire unit circle measures 2pi, then, pi corresponds to the half of the unit circle. It is located at the point (-1,0).

The cosine of pi is equal to the x-coordinate, and the sin of pi is equal to the y-coordinate of the point pi.

Since it is located at (-1,0) thus the cos(pi)=-1 and sin(pi)=0.

The functions that are undefined for pi are those which have sin(pi) as denominator, let's check:

From the exercise we can indentify the following

• x, = number of points that the varsity team scored

• y ,= number of points that the faculty team scored

Let's clear y in (1) to be able to replace in (2)

step 1

Find 2A

Multiply by 2 each number of the matrix A

so

2A= 4 6

4 10

step 2

Find out the sum 2A+B

so

2A+B= (4+0) (6+4)

(4-1) (10+6)

2A+B= 4 10

3 16

therefore

the answer is the option A

Given:

The width of rectangle is w = 5x - 4.

The perimeter of rectangle P = 14x + 4.

Explanation:

The formula for the perimeter of rectangle is,

Substitute the expression in formula to determine the length of rectangle.

So length of rectangle is 2x + 6.

Answer: 2x + 6

Given:

10, 11, 12, 13, 14, 15

Find the center of the data.

To find the center of the data,

To find the equation of the line in slope intercept form the first step is to find the slope of the given line:

In this formula, m is the slope of the function, y2 and y1 are the y coordinates of 2 points on the line, and x2 and x1 are the x coordinates of the same 2 points, for example, they can be (-1,3) and (0,1):

The slope of the line is -2.

Now, we can use the y intercept of the graph of g, which is 1.

The slope intercept form of the equation follows the following general structure:

Where m is the slope of the line and b is the y intercept. Use the known values to replace them on the equation. The intercept form of the equation is:

equivalent sets are those that have the same cardinality, that is, the same number of elements

We are given the diameter of the circle = 18 cm

Radius = Diameter /2 = 18 /2 = 9 cm

In first table, where the height of the water is considered, every minute the water rises by 3 cm.

In second table, where possible outcome is considered, for increase in one coin the outcome increases by a factor of two.

The first table, where the height of the water is considered, shows common difference. As it increases equally every minute.

The second table, where possible outcome is considered,shows a common factor as all the values are divisible by 2. So the common factor is 2.

So they can fill 16 containers.

1) If an art Teacher has

9 3/5 gallons

Each container holds

3/5 gallons

2) Firstly, let's turn that mixed number into an improper fraction

9 3/5 = (5 x 9+3) /5 = 48/5

Given that each container holds 3/5, then let's divide

48/5 ÷ 3/5 = 48/5 x 5/3 =16

If we hadn't turned

9 3/5 ÷ 3/5 = 16

3) So they can fill 16 containers.

÷

Answer:

8

Explanation:

Let the number = n

Twice the number decreased by 4:

The phrase 'at least' means the expression above can either be equal to or greater than 12.

Thus, the given statement as inequality is:

We then solve the inequality for n.

The number that is a solution is 8.

In this problem, we have that

the center of the dilation is pointed A ----> because the intersection segments c

so

the scale factor is equal to

scale factor=AB'/AB

substitute given values

scale=2/10

Given:

To find:

the functions that give the above composite function

f(g(x)): substitute x in f(x) with g(x)

This means g(x) will be 15 + 6x which will be substituted into function f(x)

Step 1

Given; Kelly bought a cup of coffee and drank 5/8 of it. Write an addition equation to represent how much coffee is remaining.

Step 2

The addition equation representing how much coffee is remaining is;

Answer;

Answer:

The probability of rain was less than the actual results

Explanation:

Given that it rained on Monday, Tuesday, Thursday, and Friday, the actual probability of rain is 4 out of 7 days.

If the reporter stated that the probability of rain was 3 out of days, we can see that the probability of rain the reporter stated was less than the actual result of 4 out of 7 days

From the starting equation to the first step we can see that the only change was made on the left side of the equation.

We can see that the distributive property of multiplication is being applied to the parenthesis.

So, the "-2"is being distributed to the 5x and the 8.

So, the correct options in step 1 is distribute.

In step 2, we can see that the 6x on the left side are not there anymore and the -10x on the left turned into -16x. That is, we substracted 6x from both sides. Thus, the correct option on Step 2 is substract.

In Step 3, the -16 is not on the left side anymore and the 30 from the right side is in place of the 14. So, we added 16 to both sides in this step, and the correct alternative is add.

Now, on Step 4 we had -16x that turned into x and a denominator of -16 appeared on the right side, so we have divided both sides by -16. The correct alternative on Step 4 is divide.

Answer:

(2, 0), (-2, 0)

Step-by-step explanation:

f(x) = x³ - 2x² - 4x + 8

(x³ - 2x²) (-4x + 8)

x²(x - 2) - 4(x - 2)

(x² - 4) (x - 2)

(x + 2)(x - 2)(x - 2)

(x + 2) (x - 2)²

 x = -2, 2 multiplicity of 2

I hope this helps!

Given:

Simplify the expression

Solve the expression by applying the law of indices

Simplify further

Therefore, the answer is

We have six points that fall in a figure

The original coordinates of this points are:

A: ( -3, 2)

B: ( -3, -4)

D: ( 1, 3)

E: (7, 2)

V: ( 4, 8)

R: ( 3, -2)

To find the new coordinates we must bear in mind that the points must be rotated 90° clockwise.

So, we need to use the next formula to find the new points:

Finally,

The new coordinates of the points are:

A': ( 2, 3)

B': ( -4, 3)

D': ( 3, -1)

E': ( 2, -7)

V': ( 8, -4)

R': ( -2, -3)

Al final del primer mes tenemos:

5000 + 5000*0.05 = 5250

Al final del segundo mes:

5250 + 5250*0.05 = 5512.5

Y al final del tercer mes nos queda:

5512.5 + 5512.5*0.05 = 5788.125

El dinero que habra en la cuent despues de un trimestre es $5788.125

Para calcular en que porcentaje ha subido la cantidad inicial, dividimos la cantidad extra obtenida despues de un trimestre entre la cantidad inicial:

Ha subido en un 15.7625%

so we have to replace y. we get

if x=-3, we get that y is

so the solution is

Calculate the following sum of mixed fractions:

Before adding the fractions, we should express them as improper fractions:

We can add the integers 517+312=829

And now the fractions:

Expand the first fraction to have a denominator 100:

Now we simply join the integer part with the proper fraction:

It's the final answer

Let's elaborate on the sum:

We need to make both denominators equal and then add the numerators easily

For example:

Note the fraction 37/50 does not have the same denominator as 3/100

How can we make them equal?

Multiply by 2

both the 37 and 50

To express the result as decimal, we divide the fraction and add it to the integer: