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Nakaylah Lindsay
The Midpoint Formula
Sep 11, 7:10:42 PM
Find the midpoint of the segment with the following endpoints.
Answer:
(2, 2) and (10,8)
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The exterior angle (∠ 5) is larger than either remote interior angle (∠ 7 and ∠ 8).

Exterior Angle Inequality Theorem

According to the exterior angle inequality theorem, the measure of any exterior angle of a triangle is greater than the measure of either of the opposite interior angles. The adjacent interior angle and the exterior angle are supplementary. A triangle's exterior angles add up to 360º.

A triangle's exterior angle is always greater than its two remote interior angles.

By the Exterior Angle Inequality Theorem, the exterior angle (∠ 5) is larger than either remote interior angle (∠ 7 and ∠ 8).

m ∠ 7 < m ∠ 5 and m ∠ 8 < m ∠ 5 .

Therefore, the correct answer is ∠ 7 and ∠ 8.

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An arithmetic sequence (AP) is a progression in which the difference (called the tolerance) between two consecutive terms in the passage/progression is constant.

Therefore, the expression for the nth term is,

an = a₁ + (n − 1) d

and in general

an = am + (n - m) d.

where d is the difference.

For an arithmetic series with initial term a₁ and difference between terms of d

an = a₁ + (n − 1) d

We are given some of the values,

d = 6 and

S8 = 440

So, we will put the values in the formula and calculate the desired value,

a1 = 440 = a1 + ( 8 - 1 ) * 6 = a1 + 42

a1 = 440 - 42 = 398.

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Answer:

1.-150 250-400 is -150

2. 6570 6288+282=6570

3.123 because 102+21 is 123

Step-by-step explanation:

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Given parallelogram LMNO with diagonals intersecting at point P, OP is equal to 23.

A parallelogram is a two-dimensional figure with two pairs of parallel sides. A parallelogram's pair of opposite sides are of equal length and its opposite angles are of equal measure.

The diagonals of a parallelogram bisect each other, divides each other into two equal lengths.

If the diagonals of parallelogram LMNO intersects at point P, then MP is equal to OP. If MP = 2x + 5 and OP = 3x − 4, solve for x.

MP = OP

2x + 5 = 3x − 4

5 + 4 = 3x - 2x

x = 9

Substitute the value of x to solve for OP.

OP = 3x − 4

OP = 3(9) - 4

OP = 27 - 4

OP = 23

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Therefore, the surface area of the tea bag is 56 cm².

The slant height of the tea bag is l.

l = 5 cm

Each edge of the base of the tea bag = 4 cm

The lateral surface area of tea is L.

The Surface area of the tea bag is S.

The perimeter of the tea bag is p.

The lateral surface of the tea bag is,

[tex]Lateral \: Surface \: Area = \frac{1}{2} \times Perimeter × Slant \: height [/tex]

[tex]L = \frac{1}{2} \times p \times l[/tex]

[tex] = \frac{1}{2} \times 16 \times 5[/tex]

= 40 cm²

The lateral surface area of the tea bag is 40 cm².

Base Area = (4) ²

= 16 cm²

The surface area of the tea bag is,

Surface Area = Lateral surface area + Base area

S= 40 + 16

= 56 cm²

Therefore, the surface area of the tea bag is 56 cm².

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The network of equilateral triangles, squares, and hexagons is used in just three regular tessellations.

What does tessellation of a form mean?

Only regular triangles, squares, and hexagons can tessellate on their own.

If you use more than one sort of form, you can create additional tessellations of regular shapes.

The network of equilateral triangles, squares, and hexagons is used in just three regular tessellations.

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Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100.

The number 1.23 as a percentage is 123 %.

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The percent sign, %, is frequently used to indicate it. There is no unit of measurement for a percentage. It is a dimensionless number (pure number).

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Let the number be 1.23

To find percentage multiply it by 100, we get

So, 1.23 × 100 = 123 %

Therefore, the number 1.23 as a percentage is 123 %.

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Answer:

150

Step-by-step explanation:

[tex]33 = 0.22(x)\\\\\\frac{33}{0.22} =\frac{0.22(x)}{0.22} \\\\\large\boxed{x=150}[/tex]

The missing terms of an arithmetic progression (AP) are -3, 5, 13, 21, 29.

An arithmetic progression (AP) is a pattern in which each successive term has the same distinctions.

The arithmetic sequence.... 5, .. , 21,...

There are total 5 terms in the series.

Let the initial term be 'a₁'.

Let the second term be 'a₂' = 5.

Let the third term be 'a₃'.

Let the fourth term is be 'a₄' = 21.

And final, the fifth term be 'a₅'.

The common difference of the AP are same. so,

d = a₃ - a₂      ........(equation 1)

d = a₄ - a₃  .......(equation 2)

Thus, equate the two formed equation;

a₃ - a₂ = a₄ - a₃

Substituting the values;

a₃ - 5 = 21 - a₃

Simplify the above equation;

a₃ = 26/2

a₃ = 13.

Put the value in equation 1 and find the common difference.

d = a₃ - a₂

d = 13 - 5 = 8

So, the first term will be;

d = a₂ - a₁

a₁ =  a₂ - d

a₁ = 5 - 8

a₁ = -3

Now, the fifth term will be;

a₅ = a₄ + d

a₅ = 21 + 8

a₅ = 29.

Therefore, the arithmetic sequence of the AP formed as -3, 5, 13, 21, 29.

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Answer:

50 ohms.

Step-by-step explanation:

Volts = current * resistance

110 = 2.2 * r

R = 110 / 2.2

  = 50 ohms.

Answer:

                           11

8z² + 9z + 12 + -------

                         z  - 1

Step-by-step explanation:

x - c = x - 1

change the sign of -1 to +1

8z³ + z² + 3z -1

1 |  8     1    3   -1

     ↓     8   9   12

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

     8     9   12   11

8z² + 9z + 12 remainder of 11

I hope this helps!

Answer:

2/3*2/1

this is the answer

Answer:

2/3 × 2/1

Hope this helps :)

Explanation below.

Step-by-step explanation:

To find the multiplication expression, use the Keep, Change, Flip (KCF) method.

The 17 th term of the Arithmetic Progression (AP) is found to be a₁₇ = 26.

In Arithmetic Progression (AP), the difference between the two numerical orders is a constant value. Arithmetic Sequence is another name for it.

We'd come across a few important words in AP, denoted as:

The AP may also be characterized in concepts of common distinctions, as shown below.

Now, as per the given data in the question;

16th term; a₁₆ = 18

Common difference; d = 5

Then, the 17th term would be calculated as;

Use the common difference formula;

d = a₁₇ - a₁₆

a₁₇ = a₁₆ + d

a₁₇ = 21 + 5

a₁₇ = 26

Therefore, the value of the 17th term of a AP is found as 26.

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Answer:

0.66 with a bar

Step-by-step explanation:

Answer:

144 mg

Step-by-step explanation:

The distance between each pair of parallel lines with the given equations y = x-11 and y = x-7 is 4 units.

We can find the points passing through the lines

Hence,

The points passing through the line y = x - 11  are:-

Let x = 11

y = 11 - 11 = 0

(11,0)

and;

Let x = 12

y = 12 -11 = 1

(12,1)

The points passing through the line y = x - 7 are:-

Let x = 7

y = 7 - 7 = 0

(7,0)

and;

Let x = 8

y = 8 -7 = 1

(8,1)

Hence, using distance formula, the distance between the parallel lines will be:-

[tex]\sqrt{(1-1)^2+(12-8)^2} =\sqrt{0+16}=\sqrt{16} =4 units[/tex]

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Answer:

x = 16

Step-by-step explanation:

16 and x have the same length.

Answer:

$5.05

Step-by-step explanation:

.85($5.60) + $1.79 - $1.50

$4.76 + $1.79 - $1.50 = $5.05

Answer:

sum is 82

Step-by-step explanation:

[tex]\sf \textsf{The 9th square number is }9^2 = 81[/tex]

[tex]\sf \textsf{The 1st square number is }1^2 = 1.[/tex]

In order to find the sum of these two square numbers, simply add them together:

[tex]\sf Sum = 81 + 1 = 82[/tex]

The sum of the 9th square number and the 1st square number is 82.

Answer:

All answers in explanation

Step-by-step explanation:

Step 1: Unknown
Unknown is the number of refills purchased

Step 2 Key Information
Cost of souvenir cup, price per refill and total money spent

Step 3: Strategy (equation)
Define a variable x that represents the number of refills bought

The souvenir cup cost $14.25

Each refill costs $1.25

So x refills will cost 1.25x

Total cost = 14.25 + 1.25x

We are told she spent $23

So the equation is
14.25 + 1.25x = 23

Step 4: Solution
Equation is
14.25 + 1.25x = 23

a) Isolate the x term by subtracting 14.25 on both sides

14.25 - 14.25 + 1.25x = 23 - 14.25

1.25x = 8.75

b) Divide both sides by 1.25:
1.25x/1.25 = 8.75/1.25

x = 7

Solution is 7 refills

Step 5: Check your answer
Plug x = 7 back into the left side of the equation and check if it works out to 23
14.25 + 1.25 (7) = 14.25 + 8.75 = 23

So our answer is correct

The length of the side m are obtained using the theorem of Pythagoras and proportional triangles to give;

a) m ≈ 28.4

b) m ≈ 12.09

c) m ≈ 9.38

a) The given triangle, is a right triangle.

The length of the legs of the triangle are; 33 and 56.

According to Pythagorean theorem, the length of the hypotenuse side, l, is therefore;

l = √(33² + 56²) = 65

From the formula for the area of a triangle, we have;

Area of a triangle, A, equals half the base length multiplied by the height.

A = 0.5 × Base length × Height

For the right triangle, we have;

A = 0.5 × Leg 1 × Leg 2

Which gives;

A = 0.5 × 33 × 56 = 924

However;

A = 0.5 × l × m

Where;

l = The hypotenuse = The base length = 65

m = The height of the triangle

Which gives;

A = 0.5 × 65 × m = 924

m = 924/(0.5 × 65) ≈ 28.4

b) The side m is parallel the 14 units long side.

The proportion the side m divides a side of the triangle = 3 and 19

Given that the triangle formed by m is proportional to the larger triangle, we have;

m/14 = 19/(19+3)

c) From the proportionality of similar triangles, we have;

m/16 = 17/(14+15)

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The elevator finally stopped on the 16th floor.

So, the expression would be:

Now,

Therefore, the elevator finally stopped on the 16th floor.

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The glide reflection  ( x + 2.5 , y ) is  that is reflected in the line that separates the left prints from the right prints.

A glide translation is what?

Now, let's assume that the initial position is (x , y) .

Since, the average stride length of a turkey is about 11 inches; also since the turkey has two legs, therefore, the average stride length between the two legs is as shown below:

average = 5/2  = 2.5

Thus, the glide reflection is ( x + 2.5 , y )

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Step-by-step explanation:

in the morning, 222k + 111d

in the evening, 222k + 111d

grams, g = 444k + 222d

The value of r is 21 when s = -1 , t = 4 and  u = 1/5 for the equation r = 3s² + 5 (t - 2u).

Quadratic Equation:

Quadratic equations are the polynomial equations of degree 2 in one variable of type.

The general form of a quadratic equation is,

f(x) = ax² + bx + c = 0

where a, b, c, ∈ R and a ≠ 0.

‘a’ is called the leading coefficient and

‘c’ is called the absolute term of f (x).

Given,

Equation is,

r = 3s² + 5 (t - 2u).

Here we need to find the value of r when the values of s = -1 , t = 4 and  u = 1/5.

Apply the values on the given equation then we get,

=> r = 3 (-1)² + 5 ( 4 - 2(1/5))

Expand the values,

=> r = 3 (-1)² + 5( [20 -2] /5)

Here the value 5 is getting cancelled then we get,

=> r = 3(-1)² + 18

We know that the value of (-1)² = 1

So,

=> r = 3(1) + 18

=> r = 3 + 18

=> r = 21

Therefore, the value of r is 21.

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The foci are placed 4 feet apart from the ellipse's center. Then the distance between the foci of the ellipse will be separated by 8 feet.

Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.

A major axis of 32 ft and a minor axis of 14 ft.

The major axis 2a of the ellipse will be

2a = 10 feet

a = 5 feet

The minor axis 2b of the ellipse will be

2b = 14

b = 7 feet

We must utilize the following connection to get the foci's coordinate:

b² = a² - c²

3² = 5² - c²

c² = 25 - 9

c² = 16

c = ± 4

As a result, the foci are placed 4 feet apart from the ellipse's center. As a result, the foci are separated by 4 + 4 = 8 feet.

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The total number of band members and dancers in the halftime show in all rows were 276.

A row is an arrangement of things in a straight line next to each other.

if there are n rows and each row has m members then total number of members = m* n

Given that marching band was in 3 sections and each section has 8 rows of  8 players , then players in each section of marching band  = 8 *8 = 64

As, there are 3 such sections then total number of marching band players =3*(players in each section) = 3* 64 = 192

Given that there are 2 sections of dancers and each section has 6 rows of 7 dancers.

Then, dancers in each section of  dancers = 6*7 =42

As there are two such sections, then the total dancers = 2* 42 = 84

total no of band members and dancers = 192+84 = 276

Therefore, The total number of band members and dancers in the halftime show were 276.

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Answer:

11

Step-by-step explanation:

[tex]6+2(2+3)/2[/tex]

[tex]6 + \frac{2 * (2+3) }2}[/tex]   Cancel out 2* and the bottom 2

[tex]6+2+3[/tex]     6+2=8

 ⬇️

   8 + 3

    = 11

Answer:

The expression that is equivalent to -2y-8+4y is 2y-8.