Write the percent as a decimal.
0.034%=

SSS congruence rules states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

The SSS (Side-Side-Side) congruence rule states that if three sides of one triangle are equal to the three sides of another triangle, equal, and the two triangles share the same dimensions then the two triangles are congruent. This means that all of the angles and sides of the two triangles are In order for two triangles to be congruent according to the SSS congruence rule, the lengths of the three corresponding sides of the two triangles must be equal. If all three of these conditions are met, then the two triangles are congruent and can be used to solve a variety of geometric problems.

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The SSS congruence rule is rule that is used to prove two triangles congruent . Its full form is Side-Side-Side Congruence .

The Two Triangles can be called as  Congruent Triangles if their sides have same length and the angles also have the same measure.

One of the 4 rules in proving the triangles congruent is SSS .

The SSS Congruence Rules also called as (Side-Side-Side) Rule means that if all the three sides of one triangle are equal to the corresponding three sides in the other triangle ,

then we can say that the two triangles are congruent by SSS (Side-Side-Side) Rule .

Therefore , The SSS Congruence rule means Side-Side-Side Congruence .

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The length of the sides of the rhombus JKLM is 12 units.

A rhombus is one of parallelograms. The opposite sides of a rhombus are parallel, and the opposite angles are equal. Furthermore, all of the sides of a rhombus are the same length, and the diagonals intersect at right angles.

In the problem, the sides of rhombus JKLM are:

JK = 2x + 4

JM = 3x

Since the length all of the sides of a rhombus are the same, then:

JM = JK

3x = 2x + 4

Substract both sides by 2x:

3x - 2x = 2x + 4 - 2x

x = 4

To find the length of a side, substitute x = 4 into:

JM = 3x

JM = 3(4) = 12

Hence, the length of the sides of the given rhombus is 12.

The picture in your question is missing. Most likely it was like on the attached picture.

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Answer:

12

Step-by-step explanation:

JK = JM

2x + 4 = 3x

x = 4

JK = JM = 3 x 4 = 12

Its speed is closest to 414m/s

given that

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm) (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation ().

Frequency, which is defined as the quantity of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing signal frequency.

a wave has a wavelength = 25.4cm

a frequency = 1.63khz

now, we need to find speed of the wave

speed = wavelength × frequency

speed = 25.4 × 16.3

           = 414m/s

speed = 414m/s

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The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

3^3 = 27, so C

Please give brainliest :)

Answer:Darla's fraction of the windows was 4/9 greater than Cindy's.

Step-by-step explanation:

Fraction of the window washed by Darla =5/9

Fraction of the window washed by Cindy=1/9

To find How much greater  Darla's fraction of the windows was than Cindy's, we subtract ,

5/9-1/9=4/9

Thetrefore, Darla's fraction of the windows was 4/9 greater than Cindy's.

Answer:

4/9

Step-by-step explanation:

The given segments from the vertices to the incenter of the triangle ΔAEC

are angle bisectors.

Reasons:

The incenter of a triangle is the point of concurrency of the angle

bisectors of the triangle.

Therefore;

The segment \(\mathbf{\overline {AG}}\) bisects the angle ∠CAE

Which gives;

∠BAG ≅ ∠GAF Definition of the bisection of ∠CAE

∴ ∠GAF = ∠BAG = 22°  by definition of congruency

∠GAF = 22°

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Answer:

120 Units

Step-by-step explanation:

A=1/2xbxh

A=1/2 x (10x24)=120 units

The triangle has an area of 120 units^2  squared.

The tοtal weight οf all the tennis balls in the fully packed bοx is apprοximately 31 pοunds.

Geοmetry is a branch οf mathematics that deals with the study οf pοints, lines, angles, shapes, and their prοperties, as well as space and the relatiοnships between οbjects in space.

1. First, we need tο cοnvert all the dimensiοns οf the bοx tο inches: 1 ft = 12 inches, sο the dimensiοns οf the bοx in inches are 12 in * 13 in * 19 in. The diameter οf a tennis ball is 2.6 inches, sο the radius is 1.3 inches.

Tο find the maximum number οf tennis balls that can be packed in the bοx, we need tο find hοw many can fit in each dimensiοn. In the 13-inch dimensiοn, we can fit 5 tennis balls (since 5 * 2.6 = 13). In the 19-inch dimensiοn, we can fit 7 tennis balls (since 7 * 2.6 = 18.2, which is less than 19).

Fοr the height οf the bοx, we need tο find hοw many layers οf tennis balls can fit. The height οf a tennis ball is 2.6 inches, sο we can fit 7 layers in the 12-inch dimensiοn (since 7 * 2.6 = 18.2, which is less than 12).

Therefοre, the maximum number οf tennis balls that can be packed in the bοx is 5 x 7 x 7 = 245.

2. The vοlume οf each tennis ball is (4/3)π(1.3)^3 cubic inches, which is apprοximately 9.14 cubic inches. Sο the tοtal vοlume οf 245 tennis balls is 245 x 9.14 = 2238.3 cubic inches.

The weight οf οne cubic inch οf tennis balls is 0.014 pοund, sο the weight οf 2238.3 cubic inches is 2238.3 x 0.014 = 31.33 pοunds, rοunded tο the nearest pοund.

Hence, the tοtal weight οf all the tennis balls in the fully packed bοx is apprοximately 31 pοunds.

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Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

Answer:

Your answer should be x = \(\frac{48}{7}\).

Hope this helps.

Answer:

x is about 6.857 or 48/7

Step-by-step explanation:

to do this we cross multiply

42/18=16/x

42x=18(16)

42x=288

x=6.857

Hopes this helps please mark brainliest

Answer:

D

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

The answer is A (-5, -2)

Step-by-step explanation:

bottom left is the third quadrant and it is negative negative (-x,-y)

Answer:

The answer is 17-36 (15) (32) *300 divided by 2

Step-by-step explanation:

do the work

If the system has infinite solutions, it means that the two equations are not independent, but rather one equation is a multiple of the other. In other words, the second equation must be a multiple of y = 7x + 8.

One possible equation that completes the system is:

14y = 98x + 112

To check that this equation works, we can substitute y = 7x + 8 into the equation:

14(7x + 8) = 98x + 112

98x + 112 = 98x + 112

As we can see, the equation is true for any value of x, which means that it is satisfied for any value of y that corresponds to y = 7x + 8.

Therefore, the system of equations that has y = 7x + 8 as one of its equations and has infinite solutions is:

y = 7x + 8

14y = 98x + 112

Answer:

Butter: 2•2/3=4/3=1&1/3 cups

Marshmallows: 24•2/3=16 oz

Cereal: 13•2/3= 26/3=8&2/3 cups

Step-by-step explanation:

To find how much she needs of every ingredient, multiply every ingredient by 2/3.

Two triangles are similar when they have the same measure for their angles and proportional corresponding sides.

In this case, we have two triangles which have one pair of congruent angles (\(\frac{LK}{ZY}=\frac{56}{7}=8\)Then, the proportions for the other pair of corresponding sides have to be equal to 8.

Then, we can find the other corresponding pairs:

One is the other adyacent side to L, that is LJ, that will correspond to the the other adyacent side of The other pair remaining is the opposite side to

Then, we can write:

Options A and B are not correct, as the proportion written that way should be 8 and not 1/8.

Option C is already given in the picture, so it does not add information.

Option D is correct, because it add a pair of proportional corresponding sides and with another pair of corresponding proportional sides and a pair of congruent angles, is enough information to prove that the triangles are similar.

Answer: Option D (JL/XZ = 8)

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

The function f(x,y) = 6 + x ln(xy-7) is differentiable at the point (4,2).

We can find the partial derivative fx(x,y) by applying the chain rule of differentiation to the function f(x,y) = 6 + x ln(xy-7), as follows:

fx(x,y) = ln(xy-7) + x(1/(xy-7))(ydx/dx)

= ln(xy-7) + 1/(y-7)*x

where dx/dx = 1 is the derivative of x with respect to itself. Similarly, the partial derivative fy(x,y) can be obtained as:

fy(x,y) = x(1/(xy-7))(xdy/dy)

= x/(xy-7)

where dy/dy = 1 is the derivative of y with respect to itself.

To show that fx and fy are continuous at the point (4,2), we need to evaluate them at that point and show that the resulting values are finite. Substituting x = 4 and y = 2 into the equations for fx and fy, we get:

fx(4,2) = ln(1) + 1/(2-7)4 = -4/5

fy(4,2) = 4/(42-7) = -4/3

Since both fx(4,2) and fy(4,2) are finite, we can conclude that the partial derivatives of f exist and are continuous at (4,2).

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Complete Question:

Explain why the function is differentiable at the given point.

f(x, y) = 6 + x ln(xy − 7), (4, 2)

The partial derivatives are fx(x, y) =

and fy(x, y) =

Answer:

The answer is reflected . Triangle XYZ was dilated, then reflected to create triangle QAG. Explanation :-A dilation is a rigid transformation which creates a similar image as the real shape but with different size. A reflection is a rigid transformation which creates a mirror image of the original shape without changing its size.

Step-by-step explanation:

Answer

Reflected

Step-by-step explanation:

Took test EDGE 2021X

The solution to the system of equations: x = 1 and y = 3

We have that the equations are;

y = −x^2 + 4     (1)

y = 2x + 1         (2)

Now, equate the two equations, we get;

-x² + 4 = 2x + 1

collect the like terms

-x² - 2x + 4 - 1

subtract the values

-x² - 2x + 3

Make into standard form

x² + 2x - 3 = 0

Solve the quadratic equation

Find the pair factors of -3 that sums up to 2, we have;

x² +3x - x - 3 = 0

factor the terms

x(x + 3) - 1(x + 3) = 0

(x - 1) = 0

Make 'x' the subject

x = 1

x + 3 = 0

x = -3

Then, y = 2(1) + 1 = 3

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Answer:

he value of the integral ∫ y tan(x) dx is y sin(x) + C.

Step-by-step explanation:

Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).

In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).

Now, integrating with respect to y while treating sin(x) as a constant, we get:

∫ y d(sin(x)) = y sin(x) + C,

where C is the constant of integration.

So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.

The statement ''f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm '' is TRUE.

Let us assume that a is an m x n matrix that doesn't span rm. It means that the columns of a matrix don't contain all the vectors in the m-dimensional vector space that a is associated with. Therefore, it is not possible to find the linear combination of the columns of a that produces some vectors in rm.

We can also say that a matrix is inconsistent when there is no solution possible for the given linear equation. A system of linear equations is inconsistent when it has no solution.To prove the statement f, we need to prove that if a matrix doesn't span rm, then the given equation ax = b is inconsistent for some b in rm.

Here is a proof:

Let's assume that the columns of the matrix a don't span rm. It means that some vector in rm is not in the column space of a matrix.

Let's assume that vector is v.

Now, let's consider the linear equation ax = v. Since v is not in the column space of matrix a, there is no solution to this equation. It means that the equation ax = v is inconsistent.

Hence, we can say that the statement f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm is true

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y(2.5) = 15.9389 is Use euler's method with step size 0.1 to estimate y(2.5), where y(x) is the solution of the initial-value problem.

What is euler's method?

First-order methods, such as the Euler method, have local errors that are proportional to the square of the step size and global errors that are proportional to the step size.

f(x,y) = 3y+2xy

So, starting at t0 = 2, repeat the above sequence until t0>2.5

a) m = f(2,1) = 3(1)+2(2)(1) = 7

b) y1 = y0 + hm = 1+0.1(7) = 1.7

c) t1 = t0 + h = 2.1

d) show t1 and y1

e) t0 = t1 = 2.1

f) y0 = y1 = 1.7

2nd iteration

a) m = f(2.1,1.7) = 3(1.7)+2(2.1)(1.7) = 5.1 + 7.14 = 12.24

b) y1 = y0 + hm = 1.7+0.1(12.24) = 1.7 + 1.224 = 2.924

c) t1 = t0 + h = 2.2

d) show t1 and y1

e) t0 = t1 = 2.2

f) y0 = y1 = 2.924

This is what I got for all iterations from a simple program x y

2.1 1.7

2.2 2.924

2.3 5.08776

2.4 8.9544576

2.5 15.938934528

y(2.5) = 15.9389

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Answer:

$35 per ticket

Step-by-step explanation:

1120 divided by 32 is 35, I used a calculator. If you divide the cost by the quantity you will get the cost for one quantity

If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.

First step is to calculate first sets printed

Number of pages=(1222 copies×46 page article)

Number of pages=56,212

Second step is to calculate the second set printed

Number of pages=(485 copies×16 page article)

Number of pages=7,760

Third step is to calculate the total pages

Total pages=56,212+7,760

Total pages=63,972 pages

Therefore If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.

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Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

Using the tangent function, we can set up the following equation: tan(40°) = opposite/adjacent. tan(40°) = distance between the buildings/20 meters. To find the distance between the buildings, we rearrange the equation: distance between the buildings = 20 meters * tan(40°). Using a calculator, we can evaluate the expression: distance between the buildings ≈ 20 meters * 0.8391 ≈ 16.782 meters. Therefore, the buildings are approximately 16.782 meters apart. To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

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Answer: Ayman has saved $25

Step-by-step explanation: It's basically just 5/6th's of 30, which is 25.