A series of transformations on quadrilateral Y
resulted in quadrilateral Z. The angle measures of
quadrilateral Y are congruent to those of
quadrilateral Z. The side lengths of quadrilateral
Z are twice as long as those of quadrilateral Y.
Which transformation on quadrilateral Y must be
included to result in quadrilateral Z?

Answer:

x = 108 , y = 72

Step-by-step explanation:

x and 108 are alternate exterior angles and are congruent , then

x = 108

x and y are same- side exterior angles and sum to 180° , that is

x + y = 180

108 + y = 180 ( subtract 108 from both sides )

y = 72

Answer:

No solution

Step-by-step explanation:

9x² + 10 = 5

⇔ 9x² = 5 - 10

⇔ 9x² = -5

This is impossible because 9x² > 0 and -5 < 0

Answer:

Step-by-step explanation:

no, because positive 4 is 8 more than negative 4.

Answer:

one positive n one negative equals a positive

Step-by-step explanation:

no?

Answer:

19.

Step-by-step explanation:

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area =  2al.

Given the following:

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

Lateral Surface Area =  2al = 2(11)(15)

Lateral Surface Area = 330 cm²

Learn more about square pyramid on:

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The lateral and surface area of a square base pyramid with side length of 11 cm and slant height of 15 cm are 330 cm² and 451 cm².

surface area = A + 1 / 2 ps

where

Therefore,

surface area = 11² + 1 / 2 × (11 × 4) × 15

surface area = 121 + 1 / 2 × 44 × 15

surface area = 121 + 330

surface area = 451 cm²

lateral area = 1 / 2 ps

lateral area = 1 / 2 × 44 × 15

lateral area = 330 cm²

learn more on lateral and surface area here; https://brainly.com/question/23857644

Answer:

  [tex]X=\left[\begin{array}{cc}-5&2\\0&8\\8&1\end{array}\right][/tex]

Step-by-step explanation:

Solving the given matrix equation, we find ...

  X = (1/4)(C - B)

These operations, subtraction and multiplication by a scalar, are done on a term-by-term basis. A calculator or spreadsheet can do these for you.

For example, the middle right term (row 2, col 2) is ...

  (38 -6)/4 = 32/4 = 8

Answer:

[tex]X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]

Step-by-step explanation:

[tex] Given \:\: B=\begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix} \: and\: C=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]

To Solve: 4X + B = C

[tex]\implies 4X + \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}=\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12 & 6\\-1 & 38\\24 & -6\end{bmatrix}- \begin {bmatrix} 8 & -2\\-1 & 6\\-8 & -10\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12-8 & 6-(-2)\\-1 -(-1)& 38-6\\24-(-8) & -6-(-10)\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -12-8 & 6+2\\-1 +1 & 38-6\\24+8 & -6+10\end{bmatrix}[/tex]

[tex]\implies 4X =\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]

[tex]\implies X =\frac{1}{4}\begin {bmatrix} -20 & 8\\0& 32\\32 & 4\end{bmatrix}[/tex]

[tex]\implies X =\begin {bmatrix} \frac{-20}{4} & \frac{8}{4}\\\\\frac{0}{4}& \frac{32}{4}\\\\ \frac{32}{4} & \frac{4}{4}\end{bmatrix}[/tex]

[tex]\implies X =\begin {bmatrix} -5 & 2\\0 &8\\8 & 1\end{bmatrix}[/tex]

Answer:

384.29 in²

Step-by-step explanation:

The radius of these circles is 5 in.

- As the radii are equal, and 4 of them are used to make up the side of the square. [20 ÷ 4 = 5]

To find the area of circle, you use the formula [tex]\pi r^{2}[/tex]

[tex]\pi[/tex] · (5)² = 25[tex]\pi[/tex]

The area of the square equals the length x width

20 · 20 = 400

To find the area of the shaded region, subtract these values.

400 - 25[tex]\pi[/tex] ≈ 389.29 in²

Answer:

58π mi.

Step-by-step explanation:

The diameter of the circle = the hypotenuse of the right triangle ( by the angle subtended by a diameter theorem).

By Pythagoras:

diameter^2 = 40^2 + 42^2

=  3364

Diameter = 58 mi.

Now the circumference

= diameter * π

= 58π mi.

Answer:

The housewife purchased 8 chairs

Answer:

C

Step-by-step explanation:

C is rectangle

Rectangles have 2 sets of parallel lines

Answer:

56

Step-by-step explanation:

Answer:

38.1333333334

Step-by-step explanation:

Perimeter of rectangle:

2 × (length + width) inches

2 × (7 2/5 + 11 2/3) inches

2 × 19.0666666667 inches

38.1333333334

Answer:

  (d)  112 m²

Step-by-step explanation:

The area of a parallelogram is given by the formla ...

  A = bh . . . . . . where b is the base length and h is the height

__

Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...

  A = (14 m)(8 m) = 112 m²

The area of the parallelogram is 112 square meters.

__

Alternate solution

You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.

  A = 2(1/2bh) +bh

  A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²

Answer:

Sublimation - is the transformation from a solid to gas.

Hope this helps!

Answer:

e is the amount of people

Step-by-step explanation:

4 x so let’s say you have two x you have 50% of the people that said yes.

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

To find linear equations in slope-intercept form:

We're given:

First, determine the slope of the line.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are points that fall on the line

⇒ Plug in the given points (2,6) and (4,16):

[tex]m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5[/tex]

⇒ Therefore, the slope of the line is 5. Plug this back into the general form:

[tex]y=5x+b[/tex]

Now, determine the y-intercept.

[tex]y=5x+b[/tex]

⇒ Plug in one of the given points:

[tex]6=5(2)+b\\6=10+b\\b=-4[/tex]

⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:

[tex]y=5x-4[/tex]

[tex]y=5x-4[/tex]

Answer:

D 1,380

Step-by-step explanation:

V = area of base × height

V = 172.5 cm² × 8 cm

V = 1380 cm³

Answer:

A: Service Fee = $55
   Hourly Rate = $ 73
B: $288

Step-by-step explanation:

A: the service rate increases by $5 per year, so year 8 would be $20 more than year 4 (5*4)
  The hourly rate increases by $3 per year, so year 8 would be $12 more than year 4 (3*4)

B. Service fee for year 9 would be $60 ($5 more than year 8) and the hourly rate would be $76 per hour ($3 more than year 8). This gives you Service Fee + (Hourly rate * 3) = $60 + ($73*3) = $60 + $228 = $288

Answer:

Step-by-step explanation:

Quadrant I examples:

Quadrant II examples:

Quadrant III examples:

Quadrant IV examples:

since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.

if we take 76 to be the 100%, what is 13.83 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20[/tex]

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Scalar factor Multiplication in Matrix.

So from the above matrix, -3A , is just simply multiplying the -3 to every element of the matrix, so we get as,

===> -3A = | -9 -18 |

| -24 -21 |

| -6 6 |

hence the correct option is B.

Answer:

like terms: (3n,-n),(7,-3)

Step-by-step explanation:

Answer:=2n+2

Step-by-step explanation:

3n+7-n-3=2n+2

Answer:

ITS B because sqrt 11 is 3.something

Step-by-step explanation:

Answer:

It will land 7.5 times on tails, which is rounded up to 8 times

Step-by-step explanation:

there are 2 possibilities, heads or tails

so you divide 15 in 2 and get 7.5

The coin will land 7 times tail based on the experimental probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

Learn more about Probability here:

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#SPJ2

Step-by-step explanation:

I'm assuming the question is how many miles in total did mary swim.

if this is the case then we just multiply the number of days by the number of miles per day.

Hence,

3/4 × 8 = 6

so 6 miles in total.

make sure to ask if you need any further help

Answer:

B.

Step-by-step explanation:

the range is the y values of the line.

so it would be [3, 6]