Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth!

Step-by-step explanation:

1) Add 5x and 3x.

Now you have 8x = 5x + 15/2

2) Subtract 5x from the right side of the equation.

(You also do this to the left side)

Now you have 3x = 15/2

3) Now we want the value of x not 2 or 3x, so we will need to divide 3x by 3 to get the value of x.

3x/3 = 15/2 /2 (If the fraction divided by 3 looks confusing you can convert it into a decimal)

So you would have 3x/3 = 7.5/2

3x/3 = x

7.5/3 = 2.5

Hope this helps !

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Answer:

x = 6

y = 13

Step-by-step explanation:

x + y = 19

x - y = -7

To eliminate x, subtract ther second equation from the first

2y = 26

y = 13

To eliminate y, add the equations

2x = 12

x = 6

Answer:

what's the context of this?

From the equation, the value of x is 13

When an integer is multiplied by the same integer, the resultant number is known as a square number. Simply put, a square number is a number that is obtained by the product of two same numbers but in this case, it is an equation, so the equation in the bracket multiplies itself.

(x – 7)² = 36

Raising both sides by 1/2

x-7 = √36

x - 7 = 6

x = 6+7

x = 13

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Answer:

First rational exponent means that ;Rational exponents (also called fractional exponents) are expressions with exponents that are rational numbers (as opposed to integers ). While all the standard rules of exponents apply,

Step-by-step explanation:

We take here the root of 4 which means that it gives us the exactly same the answer is 2 which we again square on two it exactly gives us the answer 4 so the bas eis given as, = √4

= ±2

as squaring on it; = 2²

= 4

→ the base in 2² where 2 is the base and 2 of the power is called index.

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Answer:

[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]

Step-by-step explanation:

The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].

[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]

We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].

Now add these equations together to get our equation.

[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]

Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].

=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]

Answer:

The radius is just under 4 cm.

Step-by-step explanation:

The central angle for the entire circle is 360 degrees.

The fraction (89/360)(total circle area) = 12.36m^2.

Solving for the total circle area, we get (360/89)(12.36m^2) = 50 cm^2.

Area of a circle (in general) is A = πr²

Here we know A and π and must find r² and then r:

                                        A

A = πr² becomes r² = ----------

                                        π

Here, r² = 50 cm^2 / 3.14 = 15.92 cm^2

and r = square root of r² = 3.99, or approximately 4 cm

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

a technique that completes a manageable task in a polynomial period of time. Utilizing the polynomial upper bound is advantageous. A problem is said to be intractable if it cannot be solved in a polynomial amount of time. The bound has a minimum that is exponential.

Here,

Intractable problems would be those in which there is significant proof that, while they can be solved by a desktop, they cannot be solved quickly enough to be actually useful in practice.

Undecidable troubles are those for which there will never be a computer solution, whereas undecidable difficulties are those for which there will never be a computer solution.

Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.

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The inverse of 12  as calculated by the given data is found to be 1/12.

The inverse can be found by finding its reciprocal the number ,

inverse of 1 = 1 / 12

There are two types of inverse , additive inverse and multiplicative inverse .

The additive inverse can be found by finding the negative of  the number.  The multiplicative inverse, often known as the reciprocal, is another inverse of a number.

The multiplicative inverse, often known as the reciprocal, is another inverse of a number. The product of a reciprocal multiplied by the original number is always 1.

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Answer:

f(4)=7

Step-by-step explanation:

f(x)=3x-5

f(4)=3(4)-5

f(4)=12-5

f(4)=7

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In linear equation, Ben is 9 years old currently.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

Ben's mom = 22 years

Ben is 9 years old currently.

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Answer:

Pretty sure there's 90 tens.

Answer:

C 10

Step-by-step explanation:

1 1/14 of a dozen is 15

then 150 divided by 15 = 10

I hope this is the right answer

Answer:

your answer code would end up being 9862

composite numbers are: 40,42,44,45,46,48,49,50

4's are gone: 0,2,5,6,8,9,50

repeat are gone: 2,6,8,9

greatest to least: 9,8,6,2

The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.

Few examples :

For a square, the formula to find the side (s) is:

s = √(A)

where A is the area of the square.

For a rectangle, the formula to find the length (l) and width (w) are:

l = A/w and w = A/l

where A is the area of the rectangle.

For a triangle, the formula to find the base (b) and height (h) are:

A = (b*h)/2

where A is the area of the triangle.

For a cube, the formula to find the side (s) is:

V = s^3

where V is the volume of the cube.

Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.

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Answer:

1

Step-by-step explanation:

The slope would be 1. Using the equation y^2 - y^1 / x^2 -x^1, you would substitute the plots into the equation. -5 + 13 / 1 + 7 = 8/8 or 1. The 13 and 7 would be added because subtracting a negative is the same as adding a positive.

Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4

The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter.  The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.

Here,

Given :

Perimeter of rectangle = 84 feet

Thus,

Length is 6 times more than its 2 time width

=> 6L = 2W

=> W = 3L

In the perimeter formula:

=> 3L + 2L =84

=> 5L = 84

=>L = 84/5

=>16.8

and

W = 3L

=> W = 3*16.8

=> W = 50.4

Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4

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Answer:

47.07, 47.16, 47.3, 47.4, 48.1

Step-by-step explanation:

lol

Answer:

17 + x + 3 + 17

X is 3

Answer:

d = 46.15

A = 1672.76

Hope this helps!

Answer:

Diameter = 46.18 inches

Area = 1,674.09 square inches

Step-by-step explanation:

Circumference = pi x diameter

145 = 3.14d

divide both sides by 3.14

d = 46.1783 inches

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

radius = 1/2 x diameter

r = 23.09

Area = (pi)(r)^2

A = (3.14)(23.09)(23.09)

A = 1,674.09 square inches

Answer:

7:07

Step-by-step explanation:

he started at 7:07 because if you take away 5 minutes from 8:12 you get 8:07 and we all know 60 minutes is an hour so 8:07 minus an hour is 7:07 hope this helps

Answer:

Step-by-step explanation:

(100xInterest)(RatexTime)

hope this helps

Step-by-step explanation:

The formula for calculating Principal amount would be P = 100I / (RT) where Interest is Interest Amount, R is Rate of Interest and T is Time Period.

The z-score is compared as Test A : 3.25; Test B : 3.5; Test B.

Here given that,

Test A

Jeanette's score 90

Mean score 64

Standard deviation 8

Test B

Jeanette's score 95

Mean score 60

Standard deviation 10

The formula =

z = x - µ / σ

By substituting,

test A : z = (90 - 64) / 8 = 26 / 8 = 3.25

test B : z = (95 - 60) / 10 = 35/10 = 3.5

So Test A : 3.25; Test B : 3.5; Test B

The data of the question is attached below:

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Z-score in test A = 3.25, Z-score in test B = 3.5. She performed better in test B.

Z-score represent the difference between a given value and standard deviation.

given, Jeanette scored 90 in the Test A

 mean score of test A = 64

standard deviation = 8

we know, the Z-score is calculated by the following formula.

Z-score = (X - μ) /σ

where, σ denotes the standard deviation.

          μ denotes the mean value

    X is the actual value

Test A has Z- score = (actual score - mean score) / standard deviation

                             = (90 -64)/8

                           Z = 3.25

In the test B, she scored 95.

actual score = X = 95

mean score in test B = 60

standard deviation in test B = 10

hence, Z-score for test B = (X - μ)/ σ

                                        = (95 -60)/ 10

       Z-score = 3.5

Therefore, Jeanette scored better in her test B.

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The value of the measure of ∠O in the given triangle will be 65°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In ΔNOP;

PN ≅ OP

So, ∠O = ∠N

And, Measure of ∠P = 50°

Now,

In the ΔNOP;

The sum of all the three angles are 180°.

The value of the measure of ∠O = x

We get;

∠O + ∠N + ∠P = 180°

Substitute ∠P = 50° and ∠O = ∠N = x we get;

x + x + 50 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

x = 65

Thus, The value of the measure of ∠O will be 65°.

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Selecting ball number 25 has no chance of happening.

Probability is only the likelihood that something will occur. When we don't know how something will turn out, we might discuss the likelihood of various outcomes or the potential of one. Statistics is the scientific study of events that conform to a probability distribution.

It is predicated on the likelihood that something will take place. The rationale for probability serves as the theoretical probability's essential tenet. A coin has a 12% chance of landing on its head, for instance, when it is flipped.

Probability is a statistic that is used to indicate the likelihood or potential for an event to occur. Both fractions from 0 to 1 and percentages from 0% to 100% can be used to indicate probabilities.

In 25th Ball it is 0

Because there is no 25th ball

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Answer: 1 3/10

Step-by-step explanation:

Since we are informed that Annie has two boxes of markers and that the first box is 7/10 full while the second box is 6/10 full.

Therefore, the total markers that Annie has will be the addition of both boxes and this will be:

= 7/10 + 6/10

= 13/10

= 1 3/10

Answer:

490π

Step-by-step explanation:

Given data

Diameter= 14 inches

Radius= 7 inches

Height = 10 inches

The expression for the volume of a cylinder is

V= πr^h

V= π*7^2*10

V= 490π

Hence the volume is 490π

Answer:

A positive value is a value greater than zero on the right handside of the number line while a negative value is less than zero on the left handside of the number line.

Step-by-step explanation:

Since each package of 10cans costs $14

25cans would be 2 packages + 5 (since a package has 10)

So

14$ x 2 + 2$ x 5

=38$.