These are similar
figures. Solve for x

Step-by-step explanation:

6x+1≤4x−9

6x-4x≤-9-1

2x≤-10

inequality changes when divided or multiplied with negative

[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(A-B+C)\implies sin[~(\stackrel{Z}{A-B})~+C]\implies sin(Z+C) \\\\\\ sin(Z)cos(C)+cos(Z)sin(C)\implies sin(A-B)cos(C)+cos(A-B)sin(C) \\\\[-0.35em] ~\dotfill\\\\ \textit{and since we know that}\\\\ sin(A-B)\implies sin(A)cos(B)-cos(A)sin(B)[/tex]

[tex]cos(A-B)\implies cos(A)cos(B)+sin(A)sin(B)\\\\ then \\\\[-0.35em] ~\dotfill\\\\\ [sin(A)cos(B)-cos(A)sin(B)]cos(C)+[cos(A)cos(B)+sin(A)sin(B)]sin(C) \\\\\\ ~\hfill \begin{array}{cllll} sin(A)cos(B)cos(C)-cos(A)sin(B)cos(C)\\\\ +\\\\ cos(A)cos(B)sin(C)+sin(A)sin(B)sin(C) \end{array}~\hfill[/tex]

Answer:

Step-by-step explanation:

For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)

For the median you need to arrange the number in order of value/size and fine the middle number

Answer:

total cost =$ 16 +$ 4.56=$ 20.56

change received = $25 - $ 20.56 = $4.44 .

Step-by-step explanation:

therefore your answer is 4,44 hope this helps

Answer:

42

Step-by-step explanation:

well , here we can find the unknown variable which is X

127 = 3X+2 ( vertically opposite angles are equal)

127 = 3X+2

3x+2= 127

collecting like terms

3x = 127-2

3x = 125

dividing bothsides by 3

3x/3 = 125/3

x = 41.66

x = 42 (approximately)

Answer:

equate the two euations

y = 2x - 1 multiply by 4

4y = 8x - 4 equate with the second equation

5x - 4y = 1

5x = 8x - 4 + 1

8x - 5x = 3

3x = 3

x = 1

substitute for x in any of the two equations

y = 2x - 1

y = 2(1) - 1

y = 2 - 1

y = 1

Therefore, according the solution we have got.

Yes, (1,1) is a solution to the system.

The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64

The given diagram are right angled triangle

From the lower triangle

sin45 = a/2√2
1/√2 = a/2√2

1 = a/2
a = 2

Determine the value of y

tan 60 = opp/adj

tan 60 =y/2

y = 2 tan60

y = 0.64

Hence the value of y from the given diagram is 0.64

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Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

Answer:

53.5

Step-by-step explanation:

First, set the numbers out as a data set:

{51 , 51 , 52 , 53 , 54 , 54 , 54 , 55}

The median is the number that is found in the middle of the set. In this case, there are 8 numbers, and the middle numbers are 53 & 54. Find the mean of the numbers:

(53 + 54)/2 = (107)/2 = 53.5

53.5 is your answer.

~

Answer:

Ricky had 1201 hits and

Pedro hade 1481 hits

Step-by-step explanation:

Let Ricky be 'y'.

Since, Pedro hit 280 mroe than Ricky.

Pedro is 'y+ 280'

Thus,

y + y+ 280 = 2682

2y = 2402

y = 1201

Ricky had 1201 hits and

Pedro hade 1201 + 280 = 1481 hits

Answer:

See below ~

Step-by-step explanation:

Let :

Solving :

Solution :

Answer:

1/2x=10

x=20

Step-by-step explanation:

x=5 because 1/2x-6=4

Move the other side and divide 1/2 by 10. dividing by 1/2 is the same as multiplying by 2 so the answer is 20

Answer:

x = 20

Step-by-step explanation:

       [tex]\sf \dfrac{1}{2}*(x-12)=4\\\\Multipy \ the \ entire \ equation \ by 2\\\\ 2*\dfrac{1}{2}(x - 12) =2*4\\\\[/tex]

              x -  12   = 8

Add 12 to both sides,

                    x = 8 + 12

                    [tex]\sf \boxed{x = 20}[/tex]

The table that correctly describes the given quadratic equation is table D.

A general quadratic equation is written as:

[tex]y = a*x^2 + b*x + c[/tex]

The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.

In this case, the quadratic equation is:

[tex]y = -2x^2 + 4[/tex]

Then we have:

The y-intercept is (0, 4), and because a is negative, the parabola opens down.

Then the correct table is table D.

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The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

Here, focus (3,1) and directrix y=3

Let the locus of parabola be (x, y)

We know that, in Parabola

Distance between locus to focus = Distance between locus to directrix line

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex] = [tex]\frac{Ax_{1}+By_{1}+C }{\sqrt{A^2 + B^2 + C^2} }[/tex]

[tex]\sqrt{(x-3)^2+(y-1)^2} = \frac{0.x+1.y-3}{\sqrt{0^2+1^2+(-3)^2} }[/tex]

On squaring both sides, we get

[tex](x-3)^2 + (y-1)^2 = (\frac{y-3}{\sqrt{10} } )^2[/tex]

[tex]x^2 -6x + 9 + y^2 -2y + 1 = \frac{y^2 -6y +9}{10}[/tex]

[tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

Thus, The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

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Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

volume= lxbxh= 10*8*2= 160 cm3

Answer:

I think it is 15. if I am wrong sorry, but if I am right mark brainliest!!

Answer:

Below.

Step-by-step explanation:

The value of r + x is always irrational.

The value of r. s is sometimes irrational:

- for example √2 * √3 = √6 which is irrational,

but √3 * √3 = √9 = 3 which is rational.

Answer:

0.43%

Step-by-step explanation:

In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.

By using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

In trigonometry, quotient identities refer to trig identities that are divided by each other.

So here we have

[tex]Cosec\theta = \dfrac{27}{5}[/tex]

Now we have to find the reciprocal identity,

[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]

[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]

[tex]Sin\theta=\dfrac{5}{27}[/tex]

hence by using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

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Answer: ya were right its 135

Step-by-step explanation:

we kno that QRS is 180 degrees.

so to get QRT we subtract 45 from 180.

180 - 45

135

ya were right

Answer:

135

Step-by-step explanation:

QRT and TRS add to 180

180-45=135

Answer:

Answer is in attached picture

Step-by-step explanation:

There are no real solutions for the value of 'x'. The two solutions are complex. The fully simplifed answers would be:

x = 4 + 5i*sqrt(7)

x = 4 - 5i*sqrt(7)

Answer:

Hope this helps. Credit to the other user.

Step-by-step explanation:

Answer:

c) 18/25

Step-by-step explanation:

The total of all votes is 1000.

The total of all 'agree' votes is 420.

Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.

From there we simplify 720 / 1000 -> 18 / 25

Answer:

the length of the line is 7

Step-by-step explanation:

it is b. 7

Here's the link to the answer:

https://riverside.rocks/index.php

The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)

The equation is given as:

f(x)=x² + 2x

Set x = 0

f(0)= 0² + 2(0) = 0

Set x = 1

f(1)= 1² + 2(1) = 3

The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)

See attachment for the graph of f(x)=x² + 2x

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Answer:

C.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

sum is 3

2.4 rounds to 2, not 3

It's not reasonable

so, the answer is C.

Answer:

C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 3. So, it is not reasonable.

Step-by-step explanation:

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