find the measure of angle k

Answer:

about 2300

Step-by-step explanation:

Answer:

7(x+3) or 7x+21

Step-by-step explanation:

Answer:

rug long = 34 ft

rug wide = 17 ft

Step-by-step explanation:

given data

wide = 18 ft

long = 35 ft

area of carpet  = 528 ft

solution

we get here area of floor that is

and we consider length of carpet = 35 - 2x

and width = 18 - 2x

(35 - 2x) × (18 - 2x) = 528      ...................1

solve it we get

x = 25.5 and x = 1

we choose 1 ft. as the width of the strip

so rug long = 35 - 1  = 34 ft

and rug wide = 18 - 1 = 17 ft

Answer:

the sister is 16

Step-by-step explanation:

30-14= 16 and thats a 2 year difference

Answer:

sister is 16

Step-by-step explanation:

explanation:

16+14=30

so the sister is 16 and the brother is 14. if that makes any sense ;)

Answer: 34

Step-by-step explanation: the ratio is 3:2 we know that there are 51 orange sweets but we don’t know how many are yellow so the current ratio is 51:x we need to find x so if we divide 3 by 51 the answer is 17 so we need to multiply 17 by 2 which is 34 so x is equaled to 34 the final ratio is 51:34

hope it helped :)

Answer:

[tex]m^{12}[/tex]

Step-by-step explanation:

Answer:

Here' a quick summary of the answers:

Question a: center =  (3, 2), scale = 9 / 20

Question b: center = (8, -1), scale = 3

Question c: center = (6, 4), scale = 3 / 2

Question d: center = (5, 3), scale = 2

Step-by-step explanation:

By "find the center of dilation", they're asking you to name the x/y point at which the image is scaled from.

The scale factor is the amount that the points are being scaled by to reach the "prime" of  them (noted by the apostrophe).  e.g., A would be the original point, and A' would be the transformed one.

To answer these, we'll need to pay careful attention to the coordinates in the graph.  To get the scale, you can simply look at the equivalent side on both triangles, and compare the lengths.

In question A for example, we can see the line AC is 10 units wide, and the equivalent line A'C' is 4.5 units wide.  This tells us that the triangle was scaled down by a factor of 4.5/10, or 9/20, or 45%

Finding out the center of dilation can be slightly more complicated. Note that there may be an easier way to do this that I am personally unaware of, but one way to do it would be to take the original and transformed versions of two points, e.g.  A and A', and B and B', and use those points to define lines.  We can then find where those lines intersect, and that tells us where the point of origin is.

Question A:

For example, in question A, the points A and A' are at (7, 4) and (5, 3) respectively.  Remember that the slope of a line is equal to rise over run.  In other words

s = (Ay - A'y) / (Ax - A'x)

s = (4 - 3) / (7 - 5)

s = 1/2, or 0.5

Now we can take that slope, and either of the the two points we used, and apply it to a point to define a line, using the formula Δy = sΔx

y - Ay = s(x - Ax)

y - 4 = 0.5(x - 7)

y = 0.5x - 3.5 + 4

y = 0.5x + 0.5

That gives us the line along which point A was translated when the triangle was scaled.  Now let's find the same for point B:

s = (By - B'y) / (Bx - B'x)

s = (1 - 0) / (4 - 5)

s = 1 / -1

s = -1

And apply that slope to build our line:

y - By = s(x - Bx)

y - 0 = -1(x - 5)

y = -x + 5

Now that we have two lines created, we can simply equate them, solving for x, which tells us the x location of the center of dilation.

Given:

y = -x + 5

and

y = 0.5x + 0.5

we can say:

-x + 5 = 0.5x + 0.5

-2x + 10 = x + 1

-3x = -9

x = 3

So the center of dilation has an x coordinate of 3.  To find it's y coordinate, we merely need to plug that into one of the line equations we already worked out:

y = -x + 5

y = -3 + 5

y = 2

So for question A the center of dilation is at (3, 2)

Question B:

This one is actually much easier, as we don't need to work out line equations to find the point of origin.  The thing to notice here is that A and A' have the same x coordinate, forming a vertical line.  Also B and B' have the same y coordinate, forming a horizontal line.  All we need then is to know where those lines intersect.  We can get that by taking the x coordinate of A and the y coordinate of B.

A lies at (8, 0), and B lies at (5, -1), so the center of dilation is (8, -1)

Using the same logic as above to find the scale, we get a scale of 3.  This is easiest by comparing |CA| with |C'A'|, the left sides of the triangles.  As you can see, that side is scaled up by a factor of 3.

Question C:

This one is far easier, as it is very obvious from the image that point A, at (6, 4) is the point of dilation.  Using the same technique as above we can see that the scale is  3/2, or 1.5

Question D:

Again much easier, as we can see that the point of origin is on the halfway point of the side CA, (5, 3).  Using the same method as above, we can see that the scale is 2.

first row: multiply the numbers (on top of the yellow highlighted squares) by 2, then add one to it

second row: add 5 to the top numbers (top of the highlighted squares)

third row: multiply 8 by the top numbers (top of highlighted squares), and then subtract 4 by it

Answer:

[tex] 5A+3B =\begin{bmatrix} 33 & 32 & 47 \\ 39 & -12 & 56 \\ 26 & 19 & 30\end{bmatrix}[/tex]

Step-by-step explanation:

[tex] A=\begin{bmatrix} 3 & 4 & 7 \\ 6 & - 3 & 7 \\ 1 & 5 & 6 \end{bmatrix} \: and \: B=\begin{bmatrix} 6 & 4 & 4 \\ 3 & 1 & 7 \\ 7 & - 2 & 0 \end{bmatrix} [/tex]

[tex] 5A=5 \begin{bmatrix} 3 & 4 & 7 \\ 6 & - 3 & 7 \\ 1 & 5 & 6 \end{bmatrix}, \: \: 3B=3 \begin{bmatrix} 6 & 4 & 4 \\ 3 & 1 & 7 \\ 7 & - 2 & 0 \end{bmatrix} [/tex]

[tex] 5A=\begin{bmatrix} 15 & 20 & 35 \\ 30 & -15 & 35 \\ 5 & 25 & 30 \end{bmatrix}, \: \: 3B=\begin{bmatrix} 18 & 12 & 12 \\ 9 & 3 & 21 \\ 21 & - 6 & 0 \end{bmatrix} [/tex]

[tex] 5A+3B =\begin{bmatrix} 15 & 20 & 35 \\ 30 & -15 & 35 \\ 5 & 25 & 30 \end{bmatrix} +\begin{bmatrix} 18 & 12 & 12 \\ 9 & 3 & 21 \\ 21 & - 6 & 0 \end{bmatrix} [/tex]

[tex] 5A+3B =\begin{bmatrix} 15+18 & 20+12 & 35+12 \\ 30+9 & -15 +3 & 35 +21 \\ 5+21 & 25-6 & 30+0 \end{bmatrix}[/tex]

[tex] \purple {\bold {5A+3B =\begin{bmatrix} 33 & 32 & 47 \\ 39 & -12 & 56 \\26 & 19 & 30 \end{bmatrix}}} [/tex]

Answer:

Originalmente tenés $86 pesos.

Compras 3 libros de " 1 ! " cada uno.

(voy a suponer que 1 ! es un valor)

Entonces tenés que pagar 3 veces el valor 1 !

Esto significa que ahora tendrás:

$86 pesos - 3*(1 !)

Y ahora compras 6 objetos de $# cada uno.

Entonces tenés que pagar 6 veces $#.

Esto significa que tenemos que restar 6*$# a lo que te quedaba, entonces ahora vas a tener:

$86 - 3*(1 !) - 6*($#)

Este será tu resto después de la compra.

Answer:

Area = 7.853981 in^2                (2.5 Pi)

Perimeter = 11.42478 in              (3.63Pi)

Step-by-step explanation:

Area

Lg semi circle area = Pi(2^2)(0.5) = 3.141593(4)0.5) = 6.283185 in^2

Sm semi circle area = Pi(1^2)(0.5) = 3.141593(2)(0.5) = 1.570796 in^2

added together = 7.853981 in^2

Perimeter

Lg semi circle perimeter = Pi(4)(0.5) + 2 = 8.283185 in

Sm semi circle perimeter = Pi(2)(0.5) = 3.141593 in

added together = 11.42478 in

Answer:

3x-2y=24 _____ (1)

2x-3y=18 _____ (2)

multiply (1) by 2

6x - 4y = 48

multiply (2) by 3

6x-9y=54

subtracting

6x - 4y = 48

6x - 9y = 54

- + -

___________

5y = -6

y=−

5

−6

3x−2(−

5

6

)=24

=3x+

5

12

=24

=3x=24−

5

12

=

5

120−12

=

5

108

∴x=

5

36

x+y=

5

36−6

=

5

30

=6

x−y=

5

36+6

=

5

42

solution

Step-by-step explanation:

according to me this should be the answer

good luck

hope it becomes helpful to you ☺️☺️

The x and y value from the given system of equations are 7 and -3 respectively.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given simultaneous equations are 3x-2y=27 ------(I) and 3x-y=24 ------(II) .

Subtract equation (I) from (II), we get

3x-y-(3x-2y)=24-27

⇒ y=-3

Substitute y=-3 in equation (I), we get

3x-2(-3)=27

⇒ 3x=21

⇒ x=7

Therefore, the x and y value from the given system of equations are 7 and -3 respectively.

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Answer:

178 yards

Step-by-step explanation:

458-(51 times 2)

356/2

178

Answer:

Step-by-step explanation: answer 3

The diagram of x + 3 and 2x are as drawn in the image attached

Given the situations: x = 1, x = 2, x = 3 and x = 4

For  x + 3

x = 1, x+3 = 4

x = 2, x+3 = 5

x = 3, x+3 = 6

x = 4, x+3 = 7

For  2x

x = 1, 2x = 2

x = 2, 2x = 4

x = 3, 2x = 6

x = 4, 2x = 8

You will use the values of x and y = x+3, and the values of x and y = 2x to draw the diagram of the lines as shown in the attached image

Learn more about diagram of lines on:

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Answer:

is it like exponets

Step-by-step explanation:

Answer:

[tex]1134yd^3[/tex]

Step-by-step explanation:

Right Triangular Prism

V = LWH

L = 6yd

W = 21yd

H = 9yd

____________________

Follow the volume formula, and multiply the length by width and height together.

V = LWH

V = (6)(21)(9)

V = 1134yd^3

Answer:

The triangles are similar

Step-by-step explanation:

The angles are all the same, except the big triangle was flipped and the unnamed angle in the small triangle is named in the other one

Answer:

The triangles are not similar because their angles measurements are not the same.

Step-by-step explanation:

Answer: complementary

Step-by-step explanation:

Answer:

Step-by-step explanation:

m = 5

n = 2

c = 7

Answer:

5

2

7

Step-by-step explanation:

Answer:

it's blurry can't see it

Answer:

answer : 90

Step-by-step explanation:

Answer:

90 m

Step-by-step explanation:

30% of 300 m =

= 30% * 300 m

= 0.3 * 300 m

= 90 m

Answer:

2/1

Step-by-step explanation:

JA is the same side as KM

JA=24, KM=12

24/12=2

Answer:

A

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

A rhombus has four side of the same length (sometimes) and bisecting diagonals.

A square has what a rhombus has, as well as what a rectangle has.

A rectangle has parallel sides, four right angles, and congruent diagonals.

That means that a square has four right angles, four sides of the same length, and bisecting diagonals.

That's why a square is a rhombus and a rectangle but not its converse.

So, true.

Every rhombus with four right angles is a square. Therefore, the given statement is true.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.

A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.

Therefore, the given statement is true.

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Answer:

Step-by-step explanation:

$345 - $75 = $270 more needed

$270 × (1 month)/($30) = 9 months