Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH.

Round your answer to the nearest tenth.

G

K

13

D

F

7

E

H

J

29.4

I

Answer:

127

Step-by-step explanation:

p = 100

Step-by-step explanation:

\(\begin{aligned}\tt\dfrac{20}{p}&=\tt\dfrac{2}{10}\\\tt 2p&=\tt 20\cdot 10\\\tt 2p&=\tt 200\\\tt p&=\tt\dfrac{200}{2}\\\tt p&=\tt 100\end{aligned}\)

The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer:

A= 180-41=  

A= 139 degrees

B= 180-41

B = 139 degrees

Step-by-step explanation:

On a straight line its 180 degrees

A is separating a straight line with a 41-degree angle so.  

A= 180-41  

A= 139 degrees

B is also separating a straight line with a 41-degree angle so.

B= 180-41

B = 139 degrees

Answer:

Hi

Please mark brainliest

Answer:

65/100 that is the answer to this question

Answer:

C = 35 + (0.21 × M)

Step-by-step explanation:

c = total Monthly charge

M = n of minutes.

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Answer:

Step-by-step explanation:

m= 25 and b= 450

y= 25x+450

I believe proportional

positive slope

please correct me if I am wrong

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Finding x

Substitute in the equation

Answer:

\(\huge\boxed{\bf\:\frac{4}{3} }\)

Step-by-step explanation:

If, \(x^{2} = 64\), then,

\(x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8\)

Now, remember that any number when folllowed by exponent 0 will always have its value as 1.

Then,

\(\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }\)

\(\rule{150pt}{2pt}\)

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

constant of proportionality

Step-by-step explanation:

Assuming that we have two proportional quantities; one is x and one is y.

If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Answer:

Follows are the solution to the given question:

Step-by-step explanation:

They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.

\(S=365^n\)

This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.

\(P(x)=\frac{1}{365^{n}}\)

if x is between 1 and 365 as well as the occurrence is just all similarly possible

In point i:

That somebody mentions their birthday throughout the party

Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.

In point ii:

Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.

In point iii:

Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.

Step-by-step explanation:

Using the laws of logorithms, this equals

2 ln (x-1) = 3      

ln(x-1) = 3/2             now   e^x both sides

e^( ln (x-1) =  e^(3/2)  

(x-1)  = e^(3/2)

x = 5.4817

Answer:

12 people are need to walk 24 dogs

Step-by-step explanation:

12/2=6

24/2=12

Answer:

12 people can walk 24 dogs.

Step-by-step explanation:

Given information,

→ 6 people can walk 12 dogs.

→ People required for 24 dogs = ?

Let us assume that,

→ Missing value = p

Forming the equation,

→ 6/12 = p/24

Then the value of p will be,

→ 6/12 = p/24

→ p/24 = 6/12

→ p × 12 = 6 × 24

→ 12p = 144

→ p = 144/12

→ [ p = 12 ]

Hence, the value of p is 12.

The number of complex zeroes that the polynomial has in the graph is 1.

Given a graph of a polynomial.

We have to find the complex zeroes of the polynomial.

Complex zeroes of a polynomial are the zeroes of the polynomial which are complex numbers.

The zeroes of a polynomial functions are the x intercepts of the graph of the function.

x intercepts are the points which touches the X axis.

Here the graph touches the X axis at x = -4, x = -2, x = 1 and x = 4.

So there are 4 real roots.

The degree of the polynomial is the number of times that the direction of the graph changes.

Here degree = 5

Number of real roots = 4

Number of imaginary roots = 1

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Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Hello.

Answer: 14.

Explanation:

Lets solve for t. Being how much he has now.

t+13=??

We need to look at the key details and mark down whats important.

Key details

Using this method, we can easily find out what t equals.

T for tracks

t+13=?

Using the key details  we can see that t=1

T+13= 14.

Hope this helps :))

The equation solved for the variable are;

h = S- 2B/p

b = S - hp/2

To determine the equation, we need to know that the subject of formula for  an equation is described as the variable that is made to stand on one end of the equality sign.

It is the variable that is being worked out.

From the information given, we have that;

S= hp + 2B.

To make the height with the variable 'h' the subject, we have;

collect the terms

hp = S - 2B

Divide by the coefficient

h = S- 2B/p

For b, we have;

S - hp = 2b

divide by the coefficient

b = S - hp/2

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Answer:

18 percent

Step-by-step explanation:

Answer:

If you are given he has blond hair, so the total probability will be 35%. And among them, he needs to have blue eyes, its probability is 14% among the 35%. So the final probability is 14%/35%=40%.

Step-by-step explanation:

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Answer:

72 is 6% of 1200.

Step-by-step explanation:

Multiply 72 by 100.

72*100

Then divide the number by 6

(72*100)/6

You should get 1200.

Answer:

x

--    = y

25

Step-by-step explanation:

Because it is 25% off, x is divided by 25 to get the price.

For example if x was 100, divide it by 25 you get 75, which is y.

The initial value problem's solution becomes closer to 0, the problem's limit, as time gets closer to infinity.

1. Determine both sides of the equation's Laplace transform: d2y + 4dy + 13y = u5(t) Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 (s)

2. Rewrite the equation to Y(s) = U5(s) / (s2 + 4s + 13) to find the value of Y(s).

3. Consider the reverse Finding y(t) using the Laplace transform on both sides

y(t) = (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t)

4. As t approaches infinity, determine the limit:

Laplace transformations are used to resolve the initial value issue d2y + 4dy + 13y = u5(t), where y(0) = 0 and y′(0) = 1. Y(s) = s2Y(s) + 4sY(s) + 13Y(s) = U5 is the result of first doing the Laplace transform of both sides of the equation (s). To find Y(s), we rewrite the equation as Y(s) = U5(s) / (s2 + 4s + 13). Then, to get y(t), we use the inverse Laplace transform of both sides: y(t) = (1/24)e(-2t) + (1/12)e(-t) + (1/24)sin(3t) + (1/8)cos (3t). Finally, when t approaches infinity, we compute the limit: limt[infinity]y(t) = 0. As a result, as time gets closer to infinity, the initial value problem's solution gets closer to 0.

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Answer:

No

Step-by-step explanation:

The ratios are not common

Answer:

No

Step-by-step explanation:

the ratios are not common.

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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Answer: Hello!

Step-by-step explanation: After measuring the two triangles I can conclude they are congruent!

Finn, tenth grader straight A student.

Have a great day.

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

First Option

Step-by-step explanation:

6 divided by 2 = 3 per notebook

Answer:

The store charges $3 per notebook.

The store charges $15 for 5 notebooks.