The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
359, 352, 345, ...
Find the 44th term.
Answer:
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attempt out of 2
(DELTAMATH VERSION)

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

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Side notes:

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

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Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

Answer:

-7 , -5

Step-by-step explanation:

use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5

Answer:

4.33333333

you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)

Answer: 10 times

Step-by-step explanation:

1 litre = 1000 ml

6 litres = 6000 ml

Lawnmover holds 600 ml

So 6000 ml will fill

6000/600 = 10 times

Answer:

4/9

Step-by-step explanation:

The possibilities of transportation: (The first will be for morning, second will be for afternoon)

B, B

B, C

B, T

C, B

C, C

C, T

T, B

T, C

T, T

It is clearly seen that there are 9 transportation options.

(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)

Therefore, the probability that she will use a cab only once is 4/9.  

Answer: A) AC=DF

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.

Answer A is the only one that wouldn’t help you prove that these triangles are congruent.

Answer:

You would expect to get tails 120 times

Step-by-step explanation:

0.75 * 160 = 120

Answer:

120

Step-by-step explanation:

to find the number of times, you expect to get tails:

multiply 160 by 0.75.

you could also multiply 160 by 3/4, which is easier, but still gives the same answer.

3/4 x 160 = 3 x 40 = 120

Hope this helps.

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Answer:

The answer to 1 is: A

The answer to 2 is: C

The answer to 3 is: A

Step-by-step explanation:

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. The correct option for the first, second, and third questions are A, C, and A respectively.

A conditional statement is one that has the form "If P then Q," where P and Q are sentences. P is referred to as the hypothesis in this conditional statement, while Q is referred to as the conclusion. "If P then Q" implies that Q must be true whenever P is true.

1.) If the conditional statement “If my dog gets out, he will run away,” is true, then the statement "If my dog did not run away, he did not get out." must also be true.

Hence, the correct option is A.

2.) If a conditional statement is written in the form “If p then q”, then the converse of the conditional statement is written as "If q then p".

Hence, the correct option is C.

3.) The statement “If I do not ask permission, I will get in trouble” is the contrapositive of the conditional statement "If I do not get in trouble, I asked permission."

Hence, the correct option is A.

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Answer:

Midpoint of A and B is (4,5).

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_____________________________________

here two points are  (2,7)  and (6,3)

substituting this value in  (x1+x2)/2 , (y1+y2)/2

we have,

midpoint  (2+6)/2, (7+3)/2

  = 8/2 , 10/2 = 4,5

Midpoint of A and B is (4,5).

Answer:

I would use the "quotient rule of exponents"

Step-by-step explanation:

I would use the "quotient rule of exponents" which states that to divide two exponents that have the same base, the result is the same base to an exponent which equals the subtraction of the exponent in the numerator of the original expression minus the exponent that base has in the denominator.

That is:

[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

Then in this case the simplified expression would be:

[tex]\frac{3^{10}}{3^4} =3^{10-4}=3^6[/tex]

Answer: quotient of powers

Step-by-step explanation:

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

Option (4) will be the correct option.

   Coordinates of the vertices of rectangle ABCD are,

Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1

If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,

(h, k) → (-k, h)

Following this rule,

B(1, 3) → B'(-3, 1)

A(3, 5)→ A'(-5, 3)                        

Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]

Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,

[tex]m_1\times m_2=-1[/tex]

Since, slopes of two segments BA and B'A' are (1) and (-1).

(1) × (-1) = -1

Therefore, both the segments BA and B'A' will be perpendicular.

    Option (4) will be the answer.

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Answer: 5/3

6x = 10

x=10/6

x=5/3

Answer:

x = 5/3

Step-by-step explanation:

2x-4=-4x+6

Add 4x to each side

2x+4x-4=-4x+4x+6

6x -4 = 6

Add 4 to each side

6x -4 +4 = 6+4

6x = 10

Divide each side by 6

6x/6 = 10/6

x = 5/3

Answer:

C) 9

f(0) +g(1) = 5 +4 =9

F(2) = -2 + 5 =3

Step-by-step explanation:

Given f(x) = -x + 5

      g(x) = 2 x + 2

Put x=0 in f(x) = -x +5

                f(0) = -0 +5 =5

             g(x) = 2 x + 2

Put x= 1

             g(1) = 2(1) +2

             g(1) = 4

f(0) +g(1) = 5 +4 =9

b) f(x) = -x +5

put x = 2

F(2) = -2 + 5 =3

Answer:1572

Step-by-step explanation:

Am god

To the nearest square unit, Area of heptagon = 1572 square unit

The correct option is B.

A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.

Given,

Side length of heptagon = 20.8 unit

Radius of the incircle = 21.6 unit

Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit

Area of heptagon = (1/2)Perimeter × radius of incircle

                               = 0.5 × 145.6 × 21.6

                               = 72.8 × 21.6

                               = 1572.48 square units

Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.

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Answer:

2nd and 5th answer options

Step-by-step explanation:

Multiply the vertices of polygon ABCD by One-half.

Reflect the intermediate image.

Answer:

The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-2 = x + 28[/tex]

Turn the equation over:

[tex]x + 28 = -2[/tex]

-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:

[tex]x + 28 - 28 = -2 - 28[/tex]

[tex]x = -30[/tex]

So, the final answer is [tex]x = -30[/tex] .

Answer:

Step-by-step explanation:

line 1.

y=3

line 2.

x=-1.2

line 3.

x=3

line 4.

y=-2.6

length=3-(-1.2)=3+1.2=4.2

width=3-(-3)=3+3=6

area=4.2×6=25.2

[tex]solution \\ b = 5 \\ {4}^{1} . {4}^{b} \\ = {4}^{1} . {4}^{5} \\ = 4 ^{1 + 5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 4096 \\ [/tex]

hope it helps...

Good luck on your assignment

Answer:

[tex] = 4096[/tex]

Step-by-step explanation:

Given that,

[tex]b = 5[/tex]

Let's solve now.

[tex] = {4}^{1} \times {4}^{b} \\ = {4}^{1} \times {4}^{5} \\ = {4}^{6} \\ = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \\ = 16 \times 16 \times 16 \\ = 256 \times 16 \\ = 4096[/tex]

HEYA BUDDY

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YOUR ANSWER IS 44

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HOPE IT WILL HELP YOU UP

HAVE A GREAT DAY

ĶÁŤÉ

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

Answer:

The value of [tex]x[/tex]:

[tex]x = -2[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]-9x + 1 = -x + 17[/tex]

-Add both sides by [tex]x[/tex]:

[tex]-9x + 1 + x = -x + x + 17[/tex]

[tex]-8x + 1 = 17[/tex]

-Subtract both sides by [tex]1[/tex]:

[tex]-8x + 1 - 1 = 17 - 1[/tex]

[tex]-8x = 16[/tex]

Divide both sides by [tex]-8[/tex]:

[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]

[tex]x = -2[/tex]

So, the final answer would be [tex]x = -2[/tex] .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

Answer:

D

Step-by-step explanation:

[tex](4x-7)^2+16=40x-70 \\\\(p)^2+16=10(p) \\\\p^2-10p+16=0[/tex]

Hope this helps!

Answer:

The planet to have the biggest mass is Jupiter

the radius of mercury is 2.44 × 10^5

the difference in mass between Jupiter and Saturn is 2.2 × 10⁴

Answer: x=-46

Step-by-step explanation:

Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):

4(-8x+5)-(-33x-26)=0

-32x+20+33x+26=0

1x+46=0

x=-46

Hope that helps!

Answer:

x+46

Step-by-step explanation:

I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.

Hope this helped!

Answer:

The second option

Step-by-step explanation:

On the right hand side you have all the multiples of 4, on the left hand side you have 5

The multiples of four are ...,-8,-4,0,4,8,....

so the simbol that means that 5 is not an element of the multiples of four is the second option.

Answer: 0.2

Step-by-step explanation:

The first hundred natural numbers are 1 to 100.

Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So in the range, we have 20 multiples of 5.

Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.

we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:

P = 20/100 = 0.2

Answer:

zdsczsczscs

Step-by-step explanation:

Answer:

the answer is B, because triangle BCA is a rotation of triangle XYZ.

Step-by-step explanation: