Which of the following theorems verifies that DEF = XYZ?

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Work Shown:

S = sum of all interior angles of a polygon

S = 180(n-2)

2700 = 180(n-2)

180(n-2) = 2700

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

There are 17 sides to this polygon.

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Extra info (optional section):

We call this a 17-gon. Simply start with "n-gon" and replace n with 17.

You could also call it a heptadecagon

hepta = 7

deca = 10

so heptadeca means 17. Personally, I prefer 17-gon as the better name since it's easier to remember.

Answer:

c

Step-by-step explanation:

There are three types of variations.

1. Direct

2. Inverse

3. Joint

There is positive proportionality is two variables are positively related to each other.

The equation for direct proportionality =

y = bx

where y = dependent variable

b = constant

x = independent variable

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

 where b = constant of proportionality

Joint variation occurs when the dependent variables value is determined by two or more values

For example, the volume of a cylinder is dependent on the value of the radius and height

Answer:

Option C

Step-by-step explanation:

Positive coterminal angle of 130° is

(130+360)°

= 490°

Answered by GAUTHMATH

Answer:

An angle measuring 490

Step-by-step explanation:

it was right

Answer:  [tex]19x+11y \ge 4500[/tex]

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Explanation:

x = number of adults

y = number of students

The expression 19x represents the money from all the adults while 11y represents the money from all the students (since we get $19 per adult and $11 per student).

In total, the money collected is 19x+11y dollars.

We want this total to be $4500 or larger.

So that's how we get the final answer of [tex]19x+11y \ge 4500[/tex]

Answer: Bottom left corner

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Explanation:

There are only four possible outcomes here

Based on this so far, the answer is either the table in the bottom left corner or in the top right corner. It's not possible for X = 4 since we only flipped 3 coins.

The probability of case A happening is 1/8 since we have 1 scenario that's all tails (TTT) out of 8 items in the sample space. Similarly, the probability for case D is the same probability. We only have one HHH out of 8 total items.

The probabilities of cases B and C are the same. Both are 3/8. Note that for case B, we have HTT, THT, TTH which is three occurrences in which we get exactly 1 head. So that explains the 3/8.

Given:

The graphs of the function f(x) and g(x).

To find:

The correct statement for the given graph.

Solution:

From the given graph it is clear that, the function f(x) passes through the points (0,4) and (2,0). So,

[tex]f(0)=4[/tex]

[tex]f(2)=0[/tex]

[tex]f(-2)\neq 0[/tex]

The graph of the function g(x) passes through the point (-2,0). So,

[tex]g(-2)=0[/tex]

Since [tex]f(2)=0[/tex] and [tex]g(-2)=0[/tex], therefore the correct option is C.

The graphs of the given functions, f(x), and g(x), bounces off the x-axis.

Correct response:

The true statement regarding the graphed function is the option;

The properties of the graph of f(x) and g(x) are;

When x = 0, the value of f(x) is; f(0) = 4

Therefore;

f(0) = 4

When x = 2, the value of f(x), which is the point on the graph corresponding to a x-value of 2 is; [tex]\underline{f(2) = 0}[/tex]

When x = 0, g(x) value is g(0) = 4

When x = -2, g(x) is; g(-2) = 0

The correct option is therefore;

Learn more about functions here:

https://brainly.com/question/4179708

Answer:

The answer to this question is dilating the figure by a scale factor of one half.

Answer:

That is Arithmetic

Step-by-step explanation:

Arithmetic Sequence is described as a list of numbers, in which each new term differs from a preceding term by a constant quantity. Which is -5 in this case.

Hope this helps

Answer:

2cm

Step-by-step explanation:

vbjufdxcvhjjkknvxzdhjkbcxdf

Let's focus on f(x) = |x| for now.

Recall that the absolute value of any number is never negative.

Some examples: |-7| = 7 and |5| = 5

So as x gets bigger in the positive direction, so does y. That explains the notation [tex]x \to \infty, \ f(x) \to \infty[/tex]. Informally, we can say "the graph rises to the right".

Similarly, we have [tex]x \to -\infty, \ f(x) \to \infty[/tex] which means it "rises to the left". Both endpoints rise to positive infinity. The left side of the graph goes up forever because again the result of any absolute value function is never negative. So if we plug in say negative a million, then the result is positive a million. In a sense, the V shape absolute value function is almost like a parabola. Both have the exact same end behavior on both sides.

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Now let's move onto g(x) = 2x^2+4

The only thing that matters when determining the end behavior is the leading term. The leading term here is 2x^2

The even exponent means the endpoints either A) go up together or B) go down together. We go with case A because the leading coefficient is positive. Like I mentioned earlier, this parabola mimics the V shaped absolute value graph in terms of the end behaviors being the same.

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Lastly, let's focus on h(y) = 3y^4-2

I'm not sure why your teacher is using y when the others were using x. I'll just swap y for x to get h(x) = 3x^4-2

Like the g(x) function, the largest exponent is even, so the left and right end behaviors go in the same direction. The positive leading coefficient means we have the endpoints going upward toward positive infinity.

Answer:

no additional information will help because the triangles are not similar

Step-by-step explanation:

Similar triangles have 3 pairs of congruent, corresponding angles.

Let's look at triangle ABC. Two angle measures are given: 51 deg and 63 deg.

180 - 51 - 63 - 66

The measure of the thrid angle is 66 deg.

One anlgle measure of triangle JKL is given. It is 66 deg.

Since <J is not congruent to any angle of triangler ABC, the triangles are not similar.

Answer: no additional information will help because the triangles are not similar

Answer:

p=2

q=9

Step-by-step explanation:

4p+5q=53

6p+5q =57

Answer:

20 minutes

Step-by-step explanation:

20 minutes after 3:15 is 3:35, then 5 more minutes is 3:40. Therefore Sten has 20 minutes left until 4pm.

answer:

2/3÷5/4 is equal to 8/15

Answer:

1/2

Step-by-step explanation:

This line is going up towards the right- that makes it positive. It is increasing. So it can't be negative or going "down"

The question wants to see if you know the direction of the line.

Answer:

Step-by-step explanation:

[tex]hope \: \: it \: \: helps} \beta \alpha \infty [/tex]

The length of B'C' is 0 units.

It is the movement of the shape in left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

The length of AD = 5 units.

Since the rectangle translates down by 4 units,

The length of A'D' =5 units.

The width of the original rectangle is AB, which is 3 units.

Since the rectangle translates to the right by 2 units,

The width of the new rectangle = 3 units.

Now,

The length of B'C' is the same as the length of AD', which is 5 units.

Subtracting 5 units from 5 units gives us a length of 0 units.

Thus,

The length of B'C' is 0 units.

Learn more about translation here:

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#SPJ7

Answer:

f(5) = 75

Step-by-step explanation:

The function is f(x) = 2x^2 + x(100 - 15x).

Evaluate this function at x = 5:  replace each instance of x with 5:

f(5) = 2(5)^2 + 5(100 - 15·5)

Order of operations rules require evaluating the expression enclosed in parentheses first.  We get:

f(5) = 2(5)^2 + 5(100 - 15·5)

      = 50       + (100 - 75), so that:

f(5) = 50 + 25 = 75

f(5) = 75

Answer:

175?

Step-by-step explanation:

Answer:

x = 21, y = 40

Step-by-step explanation:

The angle above (7x - 13) is (2x + 4 ) ← alternate angle

(7x - 13) and (2x + 4) are adjacent angles and sum to 180° , then

7x - 13 + 2x + 4 = 180

9x - 9 = 180 ( add 9 to both sides )

9x = 189 ( divide both sides by 9 )

x = 21

Then

2x + 4 = 2(21) + 4 = 42 + 4 = 46

(2x + 4) and (3y + 14) are adjacent angles and sum to 180° , so

46 + 3y + 14 = 180

60 + 3y = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40

Answer:

0.16

Step-by-step explanation:

As it is stated that the card having the label of a dog has a probability of 0.4. Hence, the probability that they both choose a card labeled dog is 0.16.

Answer:

(a) The sample variance is 16.51

(a) The sample standard deviation is 4.06

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Class} & {Frequency} & 8.26 - 10.00 & 20 &10.01-11.75 & 38 &11.76 - 13.50& 36 & 13.51-15.25 &25&15.26-17.00 &27 &\ \end{array}[/tex]

Solving (a); The sample variance.

First, calculate the class midpoints.

This is the mean of the intervals.

i.e.

[tex]x_1 = \frac{8.26+10.00}{2} = \frac{18.26}{2} = 9.13[/tex]

[tex]x_2 = \frac{10.01+11.75}{2} = \frac{21.76}{2} = 10.88[/tex]

[tex]x_3 = \frac{11.76+13.50}{2} = \frac{25.26}{2} = 12.63[/tex]

[tex]x_4 = \frac{13.51+15.25}{2} = \frac{28.76}{2} = 14.38[/tex]

[tex]x_5 = \frac{15.26+17.00}{2} = \frac{32.26}{2} = 16.13[/tex]

So, the table becomes:

[tex]\begin{array}{ccc}{Class} & {Frequency} & {x} & 8.26 - 10.00 & 20&9.13 &10.01-11.75 & 38 &10.88&11.76 - 13.50& 36 &12.63& 13.51-15.25 &25&14.38&15.26-17.00 &27 &16.13\ \end{array}[/tex]

Next, calculate the mean

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{20*9.13 + 38 * 10.88+36*12.63+25*14.38+27*16.13}{20+38+36+25+27}[/tex]

[tex]\bar x = \frac{1845.73}{146}[/tex]

[tex]\bar x = 12.64[/tex]

Next, the sample variance is:

[tex]\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f - 1}[/tex]

So, we have:

[tex]\sigma^2 = \frac{20*(9.13-12.63)^2 + 38 * (10.88-12.63)^2 +...........+27 * (16.13 -12.63)^2}{20+38+36+25+27-1}[/tex]

[tex]\sigma^2 = \frac{2393.6875}{145}[/tex]

[tex]\sigma^2 = 16.51[/tex]

The sample standard deviation is:

[tex]\sigma = \sqrt{\sigma^2}[/tex]

[tex]\sigma = \sqrt{16.51}[/tex]

[tex]\sigma = 4.06[/tex]

Answer:

here is your answer

Step-by-step explanation:

here is your answer

30,816 books would go into 1,284 containers which would weigh 15,408kg with all the books in them or 2,568kg with the books not in them.

Answer:

C. L LAM = L LBM

Step-by-step explanation:

__________

Answer:

i) 0.63

ii) 0.37

iii) 0.37

iv) 0.77

v) 0.51

Step-by-step explanation:

Total resistance value = 108

A = high shock resistance

B = high scratch resistance

when a disk is selected at random

i) P(A) = P ( high shock resistance )

          = ( 55 + 13 ) / 108

          = 68/108 =  17/27   = 0.63

ii) P( B ) = P ( high scratch resistance )

            = ( 10 + 30 ) / 108

            = 40 / 108 = 10/27  = 0.37

iii) P(A') = 1 - P(A)

            = 1 - 17/27 = 10/27  = 0.37

iv) P( A U B ) = P(A) + P(B) - P( A n B )

                    = 0.63 + 0.37 - 0.233

                    = 0.766 ≈ 0.77

v) P( A' U B ) = P(A') + P(B) - P(A n B )

                     = 0.37 + 0.37 - 0.233

                     = 0.507 ≈ 0.51

Answer:

x= 83

first take vertical opposite angle then take corresponding angles then you're done

Answer:

x value is 83 degree

because they both are alternate exterior angle

Answer:

Answer a h bro ok bye bro good luck

Answer:

Volume = h * w * l (height, width, length)

Volume = 4* 6 * 3

Volume = 72 cube meters

Surface area is finding the are of every 2D plane on the solid.

2(w * h) + 2(l*h) + 2(w * l)

Surface are = 108 square meters

Answer:

Are you talking about the are of a 3d cube? then it would be 156.06 because you take the length times width to get the area of one side then multiply it by 6 to gets all the sides.

Answer:

The answers for edge 2021 is

Step-by-step explanation:

16 and 10