Classify the relationship between the pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
∠4 and ∠5

The solution of the given expression is fraction 4/5.

The result of multiplying an integer by the same integer is recognised as a square number.

The given expression is;

= 4(3² - 7)/10

we know that 3² = 3x3 = 9, put the value;

= 4(9 - 7)/10

= 8/10

Divide both numerator and denominator by 2.

= 4/5

Thus, the obtained expression is 4/5.

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Ans:- All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.wer:

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Answer:

s = [tex]\frac{5}{2}[/tex] in

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the edge length )

given V = [tex]\frac{125}{8}[/tex] in³ , then

s³ = [tex]\frac{125}{8}[/tex] ( take cube root of both sides )

[tex]\sqrt[3]{s^3}[/tex] = [tex]\sqrt[3]{\frac{125}{8} }[/tex]

s = [tex]\frac{\sqrt[3]{125} }{\sqrt[3]{8} }[/tex] = [tex]\frac{5}{2}[/tex] ( = 2.5 , in decimal form )

Answer: 13. m<TEA=58 degrees

14. m<TEF=37 degrees

Step-by-step explanation:

TEA=FEA+TEF ==> Angles FEA and TEF make up angle TEA

FEA=TEF   ==> TEA was bisected to form FEA and TEF, so FEA and TEF are equal since the line EF has an equal distance from lines ET and EA.

13.

TEA=FEA+FEA

TEA=29+29

TEA=58

m<TEA=58 degrees

14. TEA=TEF+TEF

74=2 * TEF

74/2=TEF

TEF=37

m<TEF=37 degrees

The simplified form of expression is 7/3

To simplify the expression, the first step involves simplification of numerator. Then, next step is simplification of denominator. After this, the complete fraction will be simplified by division, to give the smallest fraction.

Firstly simplifying numerator -

Numerator = -5-2

Performing addition to simplify the numerator

Numerator = -7

Simplifying the denominator -

Denominator = 4-7

Performing subtraction to simplify the denominator

Denominator = -3

Now, simplifying the expression by writing the fraction -

Expression = -7/-3

Cancelling negative sign. Also, the numbers are not divisible further, so the fraction is in the simplified form.

Expression = 7/3

Hence, the simplified expression is 7/3

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Answer:

14.59

Step-by-step explanation:

The key words in this problem is that you are compounding continuously, so that would be a equals p e to the r t power to show you that formula, and so when it says you have 2500 in the account e to the .4 excuse me, 0.0475 t Power is equal to, it says, doubling the investment, and so you just have to think about your doubling the investment you're going to take 2500 times to do it. The first thing i would do, then, is to divide the 2500 over which actually cancels out this 2500 point so you're. Looking at e to the .0475 t, power is equal to 2 right, 4.75 percent, so to solve for t want to natural log, both sides- i forgot my t in there so to solve for t natural log of 2 divided by 0475, so it takes about 14.593 Years or, however, you're supposed around it says: 2 decimals soul be 14.59

The number of bracelets will be 10 and the number of necklaces will be 4.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A predetermined quantity of gold was available to a jeweler to create bracelets and necklaces. Each bracelet has 4 grams of gold, and each necklace contains 20 grams of gold. The jeweler used 120 grams of gold to create a total of 14 bracelets and necklaces.

Let x be the number of bracelets and y be the number of necklaces. Then the equation will be

x + y = 14                 ...1

4x + 20y = 120       ...2

From equations 1 and 2, then we have

4x + 20(14 - x) = 120

4x - 20x + 280 = 120

16x = 160

x = 10

Then the value of y will be

10 + y = 14

y = 14 - 10

y = 4

Thus, the number of bracelets will be 10 and the number of necklaces will be 4.

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Answer:

6th degree monomial

Step-by-step explanation:

The highest exponent is 6. Therefore, the monomial is a 6th degree monomial.

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Answer:

9

Step-by-step explanation:

given

10x + 3y = 2

then

10x + 3y + 7

= 2 + 7

= 9

The required equations are y = -10, y = 3x / 2 + 21/ 2 and y = x /5 - 58/5.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,

For the line present at the left and third quarter is y = 3x / 2 + 21 / 2
For the horizontal curve, the equation is y = -10,
For the line in the fourth quadrant, the equation is y = x / 5 - 58/ 5.

Thus, the required equations are y = -10, y = 3x / 2 + 21/ 2 and y = x /5 - 58/5.

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From drawing the graph of the function 3x + y = -5, we can tell that the x and y intercepts are respectively; x = -5/3 and y = -5

We are given the Linear equation as;

3x + y = -5

Now, the y-intercept of the function is the point where x = 0. Thus, we plug in 0 for x to get the y-intercept.

3(0) + y = -5

0 + y = -5

y = -5

Similarly, the x-intercept will be the point when y = 0. Thus, we plug in 0 for y to get the x-intercept;

3x + 0 = -5

3x = -5

x = -5/3

From drawing the graph of the function 3x + y = -5, we can tell that the x and y intercepts are respectively; x = -5/3 and y = -5

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The simplification of difference of the given two rational expressions [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex] is equal to (6x-11)/ (x-2)(x+2).Restriction on the variables is given by x≠ -2,  x≠ 2.

As given in the question,

Given expression is [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex]

Simplify the given two rational expressions by factorizing them,

[tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}\\\\= \frac{1}{(x-2)(x+2)}+\frac{6}{x+2}\\\\= \frac{1+6(x-2)}{(x-2)(x+2)}\\\\= \frac{1+6x-12}{(x-2)(x+2)}\\\\= \frac{(6x-11)}{(x-2)(x+2)}[/tex]

Restriction on the variables is given by  x≠ -2,  x≠2.

Therefore, the  simplification of difference of the given two rational expressions [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex] is equal to (6x-11)/ (x-2)(x+2). Restriction on the variables is given by x≠ -2,  x≠ 2.

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The standard equation which represents the parabola in which the base of the bulb is at (4, 6) and top of the bulb is at (4, 3) is: A. (x - 4)² = -12(y - 6).

Mathematically, the standard equation with the vertex for any parabola that opens up and symmetric about the y-axis is given by:

(x - h)² = 4a(y - k)

where:

In Geometry, the focus on the coordinate plane of a parabola is generally "n" units away from the vertex, and it's directly on the right side if it opens to the right or on the left side if it opens to the left.

Given the following data:

h = 4 and k = 6

a = 3 - 6 = -3

Substituting the given parameters into the formula, we have;

(x - h)² = 4a(y - k)

(x - 4)² = 4(-3)(y - 6)

(x - 4)² = -12(y - 6)

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There is a regular octagon with n = 8 sides. The minimum rotational symmetry angle is,

= 360/n

= 360/8

= 45 degrees.

Rotating this amount does not change the regular octagon. The front and back look the same.

Suppose that we are given a regular polygon with N sides, the angles of rotational symmetry are:

A = n * 360° / N

where n can take values = 1, 2, N, and there are N different angles. It is the minimum rotational symmetry when n equals 1.

So, in this case,

A = 360 / N , R = 30°

And we want to find the number N.

30° = 360° / N

N = 360° / 30°

N = 12

This means that a regular polygon has 12 sides.

12 Upright Step by step:

360° ÷ 8 = 45°

8 because the octagon has 8 sides.

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Answer:

45 Degrees

Step-by-step explanation:

just answered <3

3

Step-by-step explanation:

radius is just the diameter cut in half.

The number of falls per event is 3 (second option).

The number of falls per event can be determined by using the mathematical operation, division. Division is the process of splitting an amount into equal parts using another number. For example, to divide 12 by 3, 12 has to be divided into equal parts using 3.

The sign used to represent division is ÷. The other operations used in mathematics are addition, subtraction and multiplication.

The number of falls per event = total times Grady fell off the horse / number of rodeo events

156 / 52 = 3 times

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Using simple fraction, Jerry can make 4 pancakes using the left strawberries.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Strawberries that Jerry has = 4 2/3 = 14/3cups

Strawberries used to make breakfast smoothies = 2/12cups

Left strawberries = 14/3 - 2/12

=  56 - 2 /12

= 54/12

Jerry uses cups to make pancake = 54/12  /  13 / 12

= 4 pancakes

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The cost of 7 tickets will be $242.20.

In order to determine the cost of 7 tickets, the mathematical operation that would be used is multiplication. Multiplication is the process of determining the product of two or more numbers.

Multiplication is the process used to determine the result when a number is taken times. The sign used to represent multiplication is x. Other mathematical operations are addition, division and subtraction.

In order to determine the cost of 7 tickets, the cost of one ticket would be multiplied by 7.

Cost of 7 tickets = cost of one ticket x 7

$34.60 x 7 = $242.20

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The ninth and tenth term of the given arithmetic progression are: 57, 64.

Given: 1, 8, 15, 22 (AP)

Here, a₁ = 1, d = 8-1 = 15 - 8 = 22 - 15 = 7

Thus, in the formula: [tex]a_n=a_1+(n-1)d[/tex],

For n = 9, a₉ = 1 + 8(7) = 57

For n =10, a₁₀ = 1 + 9(7) = 64.

Hence, The ninth and tenth term of the given arithmetic progression are: 57, 64.

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Answer:

x = 22, y = 12.

Step-by-step explanation:  

5x + 4 = 114                                  (opposite angles).

5x + 4 + 3x - 24 + 2y  = 180         (adjacent angles are supplementary)

From first equation:

5x = 110

x = 22.

Substituting for x in the second equation:

114 + 3(22) - 24 + 2y = 180

2y = 180 - 114 - 66 + 24

2y = 24

y = 12.

The student should answer 72 questions correctly to pass the test.

So, a number of correct questions for 80%:

Therefore, 72 questions must a student answer correctly to pass the test

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Explanation:

Draw two parallel number lines as shown in the diagram below. Make sure the numbers line up.

The first number line has the interval [0,7] which is the same as writing 0 ≤ x ≤ 7

We have closed circles at 0 and 7. Then there's shading in between those endpoints.

Similarly, the other interval [-2, 5] represents -2 ≤ x ≤ 5. It has shading between the closed circles at -2 and 5.

The red dashed lines represent the portions where the two number lines overlap. This is from x = 0 to x = 5

The sub-interval 0 ≤ x ≤ 5 is found in both domains, and hence it's the domain of f+g

That turns into the interval notation of [0, 5]

The answer is - 14/3.

The outcome of subtracting one number from another is difference.

The quantity difference between two numbers is what it alludes to.

Given,

2(2/3) - 7(1/3)

Solution:

2(2/3) - 7(1/3) = 8/3 - 22/3

                     = - 14/3

The answer is - 14/3.

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Answer: number 1. 4 number2. 7

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

1. Given

Jordan paid $550

from $550  $240 is for the parts

he paid $65 per hour

so 550-240

= 310

then if

1 hour = $65

        ?  =$310

310*1/65

=4.76 hour

final answer for first question is 4.76 hour

The binary string 01001010001100 is the number  9496 in decimal format.

This is further explained below.

Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.

For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.

As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.

The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).

If there are any zeros in the provided number, the results of those locations will also be zero.

In conclusion, binary string 01001010001100 will be the figure

2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496

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Solutions are different there 3 pictures click on one picture and there they will give a solution

Step-by-step explanation:

Good luck

The equivalent expression for the given expression is [tex]\frac{2.3^{15}}{0.9^{12}}[/tex]. Therefore, option D is the correct answer.

The given expression is [tex](\frac{2.3^{5} }{0.9^{4} } )^{3}[/tex].

We need to find the equivalent expression for the given expression.

Equivalent expressions are expressions that work the same even when they seem different. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

Use [tex](\frac{a}{b} )^{m}=\frac{a^{m}}{b^{m}}[/tex] and [tex](a^{m} )^{n}=a^{m\times n}[/tex] to solve the given expression.

Now, [tex](\frac{2.3^{5} }{0.9^{4} } )^{3}=\frac{(2.3^{5})^{3} }{(0.9^{4})^{3} }[/tex]

[tex]=\frac{(2.3^{5\times3})}{(0.9^{4\times3})}[/tex]

[tex]=\frac{2.3^{15}}{0.9^{12}}[/tex]

The equivalent expression for the given expression is [tex]\frac{2.3^{15}}{0.9^{12}}[/tex]. Therefore, option D is the correct answer.

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The sentence "The isometric view is when an object is viewed from a corner" is True.

Isometric projection is used in technical and engineering drawings. Isometric view is a technique for visually representing three-dimensional objects in two dimensions along a vertical line. It is a 3-D drawing which is set out using 30-degree angles.

The Bottom View, the Left Side View, and the Rear View are three views of isometric drawings. Isometric, dimetric and trimetric drawings are three types of  axonometric drawings. Engineers, technical illustrators and sometimes architects use Isometric view.

The sentence "The isometric view is when an object is viewed from a corner" is True.

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