State whether each sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
An included side is the side located between two consecutive angles of a polygon.

The expression that shows how to rewrite 4 − 5 using the additive inverse is (a)

The expression is given as

4 - 5

The law of additive inverse states that

x + (-x) = 0

This means that x and -x are additive inverses

Using the above as an illustration,

4 - 5 can be rewritten as 4 + (-5)

And the above implies that the number line moves 4 points to the right and 5 points to the left

Hence, the expression that shows how to rewrite 4 − 5 using the additive inverse is (a)

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Answer:

27273763hebvrhejwj27222

Samir walked 2 times as many hours as Rex walked.​

A ratio can be defined as the comparison of two or more numbers on the basis of  their sizes in relation to each other.

It also indicates how many times one number contains another.

Given that;

To determine the ratio, we have to divide Samir's walking hours by Rex's working hours

= 10/ 3 ÷ 5/ 3

Take the inverse of the divisor and multiply

= 10/ 3 × 3/ 5

= 2 hours

Thus, Samir walked 2 times as many hours as Rex walked.​

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My answer to part (a) relates to the explicit formula in an  n  =  n+6  n  a=  n+6  n.

a=  n+6  n

Step-by-step explanation:

n=an−1−5

Step 1: Flip the equation.

an−6=n

Step 2: Add 6 to both sides.

an−6+6=n+6

an=n+6

Step 3: Divide both sides by n.

an  n  =  n+6  n  a=  n+6  n

An arithmetic sequence has the explicit formula a = a + (n - 1)d, and each term of the sequence may be computed without knowing the values of the previous terms. The nth term of an arithmetic, geometric, or harmonic series is usually the explicit formula.

The formal equations for L-functions in mathematics are Riemann's zeta function and links between sums over an L-complex function's number zeroes and sums over prime powers.

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Answer:

x = 2 11/12

Step-by-step explanation:

First of all, on the right you have to combine 15x+3/7x which equals 15 3/7x.

9x + 45 = 15 3/7x

-9x              -9x             Next step is to subtract 9x from both sides.

45 = 15 3/7x

/              /

15 3/7   15 3/7        Third step is to divide 15 3/7 on both sides to leave x          

                              by itself.

35/12 = 2 11/12 = x

x = 2 11/12

The amount of money after 10 months will be $67.2. The number of months (n) that it takes to have at least $100 will be 2 years or 24 months.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + r \right ) ^{t}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of months.

I keep my savings in a bank account that, at the end of each month, gives me 3% interest on the balance. (If I withdraw my funds before the end of the month, I forfeit the interest I would have accrued.) I opened the account using the $50 I received as a birthday gift.

The amount of money after 10 months will be

A = 50 (1 + 0.03)¹⁰

A = 50(1.03)¹⁰

A = 50 x 1.344

A = $67.2

The number of months (n) that it takes to have at least $100 will be

100 = 50 (1.03)ⁿ

2 = (1.03)ⁿ

n ln 1.03 = ln 2

n = ln 2 / ln 1.03

n = 23.5 ≈ 24 months or 2 years

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Answer:

Yes

Step-by-step explanation:

We can check using pythagoras theorem, setting a and b equal to the shorter sides.

[tex]51^2+68^2=85^2\\2601+4624=7225\\7225[/tex]

Answer:-12

Step-by-step explanation:

6(6-6+ -2)

6(-2)

-12

Answer: 28 miles per hour

Step-by-step explanation:

224 miles / 8 hours=

224/8= 28 miles per hour

y = -x/2 is the value of y in the equation -10 y=5 x

⇒ -10 y=5 x

⇒ y = -5x/10

⇒ y = -x/2

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

x squared

Step-by-step explanation:

x squared and the rest =1

The circumference of ®B is 36 units.

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.

Now it is given that,

The scale factor from  ®A to ®B = 1/3

⇒Ks = 1/3

∵ Ks = A/B

By comparison we get,

A = 1

and B = 3

Thus, circumference (CA) of ®A = 12

⇒ Since scale factor for A = 1

⇒ 2πr = 12

⇒ r = 6/π

Now, circumference (CB) of ®B = 2πr = 2π* 6/π

⇒ circumference (CB) of ®B = 12

Since scale factor for B = 3

⇒ circumference (CB) of ®B = 3 * 12

⇒ circumference (CB) of ®B = 36 units.

Thus, the circumference of ®B is 36 units.

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Answer:

8.10 & 8.100

Hope this helps ^^

Have a good day <3!

The results of the operations between the sets are given as follows:

1. U = {a, d, e, i, l, o, n, p, y}

2. E ∪ I = {d, o, l, e, p, i, n, a, y}.

3. E ∩ I = ∅.

4. J' = {d, a, l, e}

5. I ∪ J = {p, i, n, a, y, o}

6. (J ∩ I) ∪ E = {p,i,n,y,d,o,l,e}

7. E = {p, i, n, a, y}

8. I' ∪ J = {p, i, n, y, d, o, l, e}

9. (E ∪ I) ∩ (I ∪ J) = {p, i, n, a, y, o}

10. (J ∪ I)' = {d, l, e}

The universal set is the set that contains all elements that belong to at least one of the sets E, I and J, hence:

U = {a, d, e, i, l, o, n, p, y}

The union operation between two sets is the set of elements that belong to at least one of the sets.

Hence, in item 2, we have that:

E ∪ I = {d, o, l, e, p, i, n, a, y}

In item 5, we have that:

I ∪ J = {p, i, n, a, y, o}

The negation operation of a set X is the set that contains all elements that belong to the universe U but do not belong to X.

Hence, for item 4, we have that:

J' = {d, a, l, e}

For item 7, we have that:

E = {p, i, n, a, y}

Item 8 involves a negation then a union, hence:

I' = {d,o,l,e}

I' ∪ J = {p, i, n, y, d, o, l, e}

Item 10 involves an union then a negation, just different precedence of 8, hence:

I ∪ J = J ∪ I = {p, i, n, a, y, o}

(J ∪ I)' = {d, l, e}

The union operation between two sets is the set of elements that belong to both of the sets.

Hence, in item 3, we have that:

E ∩ I = ∅ (no element belongs to both sets).

For item 6, we have an intersection then an union, hence:

J ∩ I = {p,i,n,y}

(J ∩ I) ∪ E = {p,i,n,y,d,o,l,e}

For item 9, we have the intersection of two unions, hence:

E ∪ I = {d, o, l, e, p, i, n, a, y}

I ∪ J = {p, i, n, a, y, o}

(E ∪ I) ∩ (I ∪ J) = {p, i, n, a, y, o}

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Answer:

The average heart beats 80 - 90 timers per minute. In 1 second it beats 1.33 1.5 times

Step-by-step explanation:

Quora

A sequence is a geometric sequence if all the numbers of a list are found by multiplying the preceding term by the common ratio r of that sequence. Sigma notation can represent the sum of a finite number of terms (although higher mathematics will tell you how it works for infinite numbers as well).

Now the given problem is,

calculate ∑ n=1, 4, 2n

∑n=1 , 4 , 2n

Since the bounds are finite, the number of terms is finite as well, and we just calculate the sum by summing up the terms.

(∑n=1 4 ,2n) = (2+4+8+16) (∑n=1 4, 2n) = (2+4+8+16)

(∑n=1 4 ,2n) = (30) (∑n=1 4, 2n) = (30)

Hence,

∑n=1 4, 2n=30 ∑n=1 4, 2n=30

Answer:

∑n=1 4, 2n=30

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The 17 th term of each sequence. a₁₈ = -9, d = -11 is [tex]a_{17}[/tex] = -185.

a₁₈ = -9, d = -11 is

[tex]a_{17}[/tex] = -9 + (16)(-11)

[tex]a_{17}[/tex] = -185.

succession: the doing of one thing after another. A list of books is presented in alphabetical order. a succession of sonnets that is continuous or connected. a later event, outcome, or repercussion; something that happens after.

A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit in the sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.

Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.

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The downloads of the standard version are 1127.25.

So, let the download of the standard version be 'x'.

Then, automatically the download of the high-quality version becomes '3x'.

Now,

Therefore, the downloads of the standard version are 1127.25.

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The value of the triangle side segment CD is; 3

The HL Congruence Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Now, in this question, we are told that BA ≅ CA. Thus, by applying HL congruence postulate, we can say that;

BD = CD

Also, AD = AD due to reflexive property of congruence.

We are given that BD = 3. Thus, CD = 3

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they add up to 180 degrees

A normal polyhedron shape is defined as a polyhedron having a symmetry group that acts transitively on the flags. Regular polyhedral are highly symmetrical because they are all edge-transitive, corner-transitive, and face-transitive. Many different equivalent definitions are used in classical contexts. There are many definitions in mathematics defining a regular polyhedron, and is that the faces of a polyhedron are nothing but congruent regular polygons that are constructed in the same way around each vertex of the polyhedron. So the polyhedron having faces/sides that are congruent with regular polygons and the exact number of faces that meet at each vertex is called a regular polyhedron.

Euler's polyhedron formula describes the relationship between the number of vertices, edges, and faces of a three-dimensional polyhedral shape.

V-E+F=2 gives Euler's polyhedron formula.

Where V-corner, E-edge, F-face.

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Answer: 0.00390625

Step-by-step explanation:

Answer:

The answer is 1/256 :)

Step-by-step explanation:

This one is actually quite simple! All you need to do is multiply 1/16 by 1/16! 1 x 1 is 1 of course, and 16 x 16 is 256. I've attached an image to help break it down even further. (credit to cymath.com)

Hope this helps!

Answer For Question 2: Associative property. The associative property says that even if you rearrange the parenthesis () the result will still be the same. And that is what is happening in question 2
Answer For Question 3: Commutative property of addition. This is the BEST choice because you will first want to add 3/5 + 2/5. And since the Commutative property says that no matter the order of the addends, you can add what ever you think is the best choice.

Here are some answers. I couldn't really understand Question 1 so i didn't want to give you an incorrect answer. Also are the pictures questions too? Im not too sure but here you go hope this helps you in some way

I don't know lol ididjdjdj

The expansion of 6 4 0,409, 210 is given below with the solution.

The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so on, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.

6 4 0,409, 210 = 6 × 10,00,00,000 + 4 × 100,00,000 + 0 × 10,00,000 + 4 × 100,000 + 0 × 10,000  + 9 × 1000 + 2 × 100 + 1 ×10 + 1 × 0

A number is displayed in expanded form according to the place values of its digits.

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Answer:

55

Step-by-step explanation:

[tex]\sqrt{3025} =55^2\\\sqrt{55^2}\\\sqrt{55^2}=55\\=55[/tex]

Hope this helps.

Answer:                 x= negative 3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3(-3+3)=0

-3(0)=0

0=0

Answer:

[tex]\textsf{a)} \quad x = 59^{\circ}[/tex]

[tex]\textsf{b)} \quad \boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]

Step-by-step explanation:

As two sides of the triangle inside the circle are the radius of the circle, the triangle is an isosceles triangle.  

Therefore, its two base angles are 31°.

The tangent of a circle is:

Therefore:

[tex]\implies x + 31^{\circ} = 90^{\circ}[/tex]

[tex]\implies x +31^{\circ}-31^{\circ}= 90^{\circ} - 31^{\circ}[/tex]

[tex]\implies x = 59^{\circ}[/tex]

The circle theorem that allows you to calculate angle x is:

[tex]\boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]

The sum of the given finite series is 125

The given finite series is:

           [tex]\sum\limits^{10}_{n=1} {(3n-4)}[/tex]

Use the properties of sum operator:

         [tex]\sum\limits^{10}_{n=1} {(3n-4)}=\sum\limits^{10}_{n=1} {3n}-\sum\limits^{10}_{n=1} {4}[/tex]

Calculate each term on the right side:

[tex]\sum\limits^{10}_{n=1} {4}=4+4+...+4=10\times4=40[/tex]

[tex]\sum\limits^{10}_{n=1} {3n}=3\sum\limits^{10}_{n=1} {n}[/tex]

= 3.(1 + 2 + 3 + ... + 10)

The series in the brackets is an arithmetic series with :

the first term: a(1) = 1

the last term: a(10) = 10

the common difference: d = 2 - 1 = 1

Use the sum formula for arithmetic series:

S(n) = n/2 [a(1) + a(n)]

S(10) = 10/2 [1 + 10]

         =5 . 11 = 55

Therefore,

[tex]\sum\limits^{10}_{n=1} {3n}=3\times{55}=165[/tex]

Combine the sum:

[tex]\sum\limits^{10}_{n=1} {3n}-\sum\limits^{10}_{n=1} {4}=165-40[/tex]

= 125

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