The triangles below are congruent by SSS, so we can say that < E is congruent to ______ by CPCTC.

Answer:

160

Step-by-step explanation:

the answer is -800 ______________________

Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

The expanded form of the series ∑ₙ=₀³(n² + 3) = (0 + 3) + (1 + 3) + (4 + 3) + (9 + 3)

A series is the sum of temrs of a sequence

Given the series ∑ₙ=₀³(n² + 3), we want to find it in expanded form. We proceed as follows.

Since we have  ∑ₙ=₀³(n² + 3), we start from n = 0 to n = 3 in n² + 3.

So, when n = 0,  

n² + 3 = 0 + 3

So, when n = 1,  

n² + 3 = 1² + 3

= 1 + 3

So, when n = 2,  

n² + 3 = 2² + 3

= 4 + 3

So, when n = 3,  

n² + 3 = 3² + 3

= 9 + 3

So, collecting them together, we have that

∑ₙ=₀³(n² + 3) = (0 + 3) + (1 + 3) + (4 + 3) + (9 + 3)

So, the expanded form is  (0 + 3) + (1 + 3) + (4 + 3) + (9 + 3)

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The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

Given is the function as -

f(x) = (x - 3)²

{ 1 } -

The domain of the function f(x) = (x - 3)².

The function has no undefined points. So, we can write the domain as -

Domain → (- ∞ , + ∞)

{ 2 } -

The inverse of the function f(x) = (x - 3)².

We have -

f(x) = (x - 3)²

y = (x - 3)²

x = (y - 3)²

y - 3 = √x

y = 3 + √x

Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

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The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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The length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.

We are given that the coordinate of point P is - 7 and the coordinate of point D is - 1

We need to find the distance between the point P and point D.

The length of PD is the distance between point P and point D which will be calculated as:

PD = | P + D |

Substituting the values, we get that:

PD = | - 7 + - 1 |

PD = | - 6 |

PD = 6 units.

Therefore, the length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.

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Answer:

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Identified as a copy

Event B: Is a copy

Probability of being identified as a copy:

80% of 15%(copy)

100 - 95 = 5% of 100 - 15 = 85%(not a copy). So

\(P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625\)

Probability of being identified as a copy and being a copy.

80% of 15%. So

\(P(A \cap B) = 0.8*0.15 = 0.12\)

What is the probability that it is indeed a sample of copied work?

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385\)

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Answer:

4

Step-by-step explanation:

WA times AX = YA x YZ

8x5=40

because they have to equal each other we just have to divide 40 by 10

40/10=4 so segment YZ=4

Answer:

Through their rings! They've all got rings around them and that's like engagement haha.

Answer:

30b+10v

Step-by-step explanation:

Answer:

A. 4

Step-by-step explanation:

Constant of proportionality (k) = y/x

We can use the coordinates of any point on the line to find k.

Let's use (2, 8)

Constant of proportionality (k) = 8/2

Constant of proportionality (k) = 4

Answer:

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

We know that the equation for the time is:

Find the time at travel in the first day:

Find the time at travel in the second day:

To find the total time add app the two expressions we got above:

There matching choice is C.

The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

No, it is not a proportional relation.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Let x represents the number of guest and y represents the number of pounds of chicken made,

Given that,

The number of pounds of chicken for each guest = 1,

So, the number of pounds for x guests = x,

Also, the number of pounds already made = 8/9

Thus, the total pounds of chicken,

y = x + 8/9

Since, a relation is called proportional if the variables are directly proportional,

That is, the line obtained by the relation passes through the origin,

Since, if x = 0, y = 0,

y = x + 8/9

0 = 0 + 8/9

0 ≠ 8/9

Hence, Line does not pass through the origin.

Thus, Given relation is not proportional.

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Given the side lengths 6, 8 and 12 you have to draw a triangle and then classify it.

First step is to draw the triangle:

I'll name the triangle ABC and the segments will be

AB=6

CA=8

BC=12

Select one of the line segments as a base, for example segment AB

Using point A as the center and with help of a compas, draw an arc with radius 12

Then using point B as the center, draw an arc with radius 8

Where both arcs intersect, is the location of point C. Once this is determined you can draw the triangle.

For the triangle ABC, the red circle has a radius of 8 units and the blue circle has a radius of 12 units.

As you can see, the angle m∠BAC is greater than 90 degrees, this means is an obtuse angle.

Since the larger inner angle is obtuse, you can classify this triangle as an obtuse triangle

The vertex angle of the isosceles triangle is 22°.

What is isosceles triangle?

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.

We know that an isosceles triangle is composed of a vertex angle and two base angles. The base angles are congruent to each other. We also know that the sum of a triangle's angles is 180degrees.

Base angle = 3vertex angle+13.

=> 2base angle + vertex angle = 180°

=> 2(3 vertex angle +13)+vertex angle = 180°

=> 6 vertex angle+26+vertex angle = 180

=> 7 vertex angle = 180-26

=> 7 vertex angle = 154

=> vertex angle = 154/7 = 22°.

Hence the vertex angle of the isosceles triangle is 22°.

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The amount that should be deposited monthly is $286.66.

The monthly deposit is the periodic payment into an investment account that earns interest at a compound rate.

The monthly deposit can be determined using an online finance calculator.

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

FV (Future Value) = $20,000

Results:

Monthly Deposit = $286.66

Sum of all periodic deposits = $17,199.36

Total Interest = $2,800.64

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Answer:

A

Step-by-step explanation:

hope this helps

The figure is a combination of a square and a trapezoid;

Thus, we first look for the area of a square using the formula below;

Answer: The area of the square is 6.25 square inches.

Also, we find the area of the trapezoid using the formula below;

Answer: The area of the trapezoid is 20.1 square inches.

Answer: The area of the figure is 26.35 square inches.

Answer: $970.50

Step-by-step explanation:

32,350 x 0.03=$970.50

Covert 3% into a decimal which you go two times of the decimal to get 0.03%! Hope this helps

$970.5 is state income tax does Mr Williams owe per year.

How much state income tax does Mr Williams owe per year?

We know, x% of y \( = \frac{x}{100} \times y\)

By some examples, we can understand this concept more easily.

Example -1,

\(5\% \: of \: 200 \\ = \frac{5}{100} \times 200 \\ = 5 \times 2 \\ = 10\)

Example-2 ,

\(20\% \: of \: 500 \\ = \frac{20}{100} \times 500 \\ = 20 \times 5 \\ = 100 \)

Example-3,

\(50\% \: of \: 1000 \\ = \frac{50}{100} \times 1000 \\ = 50 \times 10 \\ = 500\)

Here given,Mr Williams earns $32,350 per year.

So,total income in one year of Mr Williams is $32,350 and state income tax rate is 3%.

Here,amount of state income tax = 3% of $32,350

So,amount of state income tax = 3% of $32,350

\( = \frac{3}{100} \times 32,350 \\ = 970.5\)

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Answer:

B

Step-by-step explanation:

-9x + 10x = 1

-y + y = 0

10 - 9 = 1

Answer:

y=-2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-1)/(2-0)

m=-4/2

m=-2

y-y1=m(x-x1)

y-1=-2(x-0)

y=-2(x)+1

y=-2x+1

The resulting value of the division of x²+x-4 by (x+3),

Quotient = x - 2

Remainder = 2

Division:

The process of division means the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Given,

Here we have the expression x²+x-4.

Now, we need to divide by the expression (x + 3).

Here we have to use the long division method in order to solve it.

The following steps are followed to solve this:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

This steps is repeated until no further division.

Thus process will be showed on the attached figure.

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Answer: 289

Step-by-step explanation:

9514 1404 393

Answer:

  n = √75

Step-by-step explanation:

The value of n is the root of the product of the two hypotenuse segments it touches:

  n = √(5·15)

  n = √75

__

Additional comment

Likewise for m:

  m = √(5(5+15)) = √100

  m = 10

Answer:

the answer is n=75

Step-by-step explanation:

:))))

Answer:

First box = 3

Second box = 30

Third box = 7

Fourth box = 2

Fifth box = 7

Sixth box = 1

Step-by-step explanation:

It just simplifying.....