Write and solve an equation to find the value of x and a missing angle in the triangle below.

Answer:

B

Step-by-step explanation:

A(-3 , 3) -> A'(-9 , 9)

B(3 , 3) -> B'(9 , 9)

C(3 , 0) -> C'(9 , 0)

A'B'C' is a dilation of ABC about the origin with factor of 3

ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement

Answer:

There are 231 ;)

Step-by-step explanation:

Answer:

231:)

Step-by-step explanation:

Answer:

Hotel B is the least expensive

Step-by-step explanation:

Given

See attachment for clear details

Required

The least expensive

To do this, we simply divide the total cost by the number of nights to get the unit price

i.e.

[tex]Unit = \frac{Price}{Nights}[/tex]

Hotel A

[tex]Nights = 3\\Price= 192[/tex]

[tex]Unit = \frac{192}{3}[/tex]

[tex]Unit = \$64[/tex] per night

Hotel B

[tex]Nights = 5\\Price= 300[/tex]

[tex]Unit = \frac{300}{5}[/tex]

[tex]Unit = \$60[/tex] per night

Hotel C

[tex]Nights = 7\\Price= 455[/tex]

[tex]Unit = \frac{455}{7}[/tex]

[tex]Unit = \$65[/tex] per night

From the calculations above;

Hotel B is the least expensive because 60 is less than 64 and 65

Answer: c = [tex]\sqrt{89}[/tex]

8² + 5² = c²

64 + 25 = c²

[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]\sqrt{89}[/tex] = c

The length of the third side is 9.4.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Applying Pythagorean theorem.

Third side = x

x² = 8² + 5²

8 x 8 = 64 and 5 x 5 = 25

So,

x² = 64 + 25

x² = 89

x = √89
x = 9.4333

Rounding to the nearest tenth

x = 9.4

Thus,

The length of the third side is 9.4.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ2

Answer:

Trapezoid

Step-by-step explanation:

They're showing us (with red arrows/triangles) that the bottom and top are parallel, but do not state anything like it for the sides.

That means it's at least a trapezoid.

As nothing suggests the sides are parallel, it's likely not a parallelogram (and it doesn't look like one).

It's also not a kite, as there is no indication that pairs of neighboring sides are equal in length.

As we don't think it's a parallelogram, it's thus not a rectangle (every rectangle is a parallelogram).

Similar with rhombus (every rhombus is a parallelogram) and square (every square is a parallelogram AND a rhombus).

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Answer:

(A) V = π(8)²h

Answer:

do math

Step-by-step explanation:

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies

Answer:

Jacoby is correct.

Step-by-step explanation:

Shop A= $6 ÷ 2 = $3/pound

Shop B= $15 ÷ 5 = $3/pound

Answer:

d

Step-by-step explanation:

Answer:

30f+25 I hope it is a right answers

I hope this answers is useful for you

Answer:

Lesser returns > T bills

Higher risks > A-rated bonds

Costly and time consuming > Property

No steady cash flow > stocks

Step-by-step explanation:

I just took the test

Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.

Step-by-step explanation

Just took a test on this, I passed

Answer: 5.5

When you subtract 5.5 from 5.5 you get 0

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

=2

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

Answer:

The unit rate is 2.20. For a single pound of cat food it would cost $2.20

Answer:

i think is is 64a

Step-by-step explanation:

Answer:

[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]

Answer:

the answer is 150

Step-by-step explanation:

Answer:

E, 297.1

Step-by-step explanation:

First, find the area of the triangle using the formula a= (bh) / 2

Base x height would be 16 x 12, which is 192

192 / 2 is 96 sq meters

Then, find the area of the circle using the formula a= Pi (r^2)

If the diameter is 16, the radius would be 8 because you divide by 2

8^2 is 64, 64 times Pi is approximately 201.1

Finally, add the areas together, 96 + 201.1 is 297.1 or E

Given:

The equation of a circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]          ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

Write the given equation in standard form of a circle.

[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]

[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]

[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]

On further simplification, we get

[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]h=0.5,k=1,r=2[/tex]

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

Answer: Rectangle, Rhombus, Square

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

Answer:

$9,151.38

Hopefully that is correct!!

Answer:

5 games

Step-by-step explanation:

1.50x + 1.25 = 8.75

1.50x = 7.50

x = 5

Answer:

rectangle

Step-by-step explanation:

Answer:  Rectangle

Step-by-step explanation: Hope this helps ! :)

Answer:

Please Provide the an attachment.Then i can show u my answer