1. Polygon Q is a scaled copy of Polygon P.
4
3
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a. The value of x is 6, what is the value of y?
b. What is the scale factor?

Answer:

1/12

Step-by-step explanation:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12

Answer:

2.8 Miles

Step-by-step explanation:

You subract 5.8 from 8.6 to get the answer.

Answer:

273ft²

Step-by-step explanation:

Fabric needed

= 2([tex]\frac{1}{2}[/tex]×7×6) + 3(7×11)

= 42ft² + 231ft²

= 273ft²

Step-by-step explanation:

x > -1

x = {0,1,2,...}

[tex] \lang -1,+\infty \rang[/tex]

Answer:

Step-by-step explanation:

The Pythagorean theorem applies to right angled triangles only.

However, for any other triangle, by dropping a perpendicular from any vertex on to the opposite side, you form two right angled triangles both of which can be solved by the Pythagorean theorem.

So, the Pythagorean theorem applies to right angled triangles directly and to other triangles indirectly.

9514 1404 393

Answer:

  right triangles

Step-by-step explanation:

The Pythagorean theorem relates the side lengths of a right triangle.

  c² = a² +b² . . . . . . . . for legs 'a' and 'b' and hypotenuse 'c'

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Additional comments

The more general form of the relation between side lengths of a triangle is given by the Law of Cosines:

  c² = a² +b² -2ab·cos(C) . . . . for sides 'a', 'b', and 'c' with angle C opposite side 'c'

You will notice this reduces to the Pythagorean relation when C = 90°.

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Triples of integers that satisfy the Pythagorean relation are called Pythagorean triples. The smallest set (and the only sequential set) of these is (a, b, c) = (3, 4, 5). Other triples commonly seen in math problems are (5, 12, 13), (7, 24, 25), (8, 15, 17), and multiples of these.

Answer:

$300

Step-by-step explanation:

Front row: $225

Front row = 3 * balcony

225 = 3 * balcony

balcony = $225/3 = $75

One balcony ticket costs $75.

4 balcony seats = 4 * $75 = $300

Answer: $300

Answer:

Bottom left

Step-by-step explanation:

Trust me bro

Answer:

a+b+x=180,sum of angles in a triangle

54+48+x=180

102+x=180

x=180-102

x=78

Answer:3.13/1

Step-by-step explanation:

Answer:

The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 10.664  

Step-by-step explanation:

^

Answer: m∠1 = 90°

Step-by-step explanation:

Answer:

y = 4/7 - 4

Step-by-step explanation:

Slope = (-4-0) / (0 - 7) = -4/-7 = 4/7

y-intercept: -4 - (4/7)(0) = -4

Answer:

12 girls

36 boys

Step-by-step explanation:

Answer:12 girls

Step-by-step explanation:

3 Shares boys (Due to it being 3 times more) 1 Share girls

3 Shares boys + 1 Share girls= 4 Shares

48 / 4 Shares = 12

Girls are 1/4 of the 48

so there are 12 girls

Step-by-step explanation:

x1=4,x2=3,y1=-2,y2=1

slope= (y2-y1)/(x2-x1)=(1+2)/(3-4)=-1/3

Answer:

Option D. slope = -3

Step-by-step explanation:

[tex]m=\frac{1-(-2)}{3-4} =\frac{3}{-1} =-3[/tex]

Hope this helps

Answer:

You're correct

Step-by-step explanation:

Have a good day :)

Answer:

Step-by-step explanation:

ax² + bx + c = y

x² + 5x – 21 = 0

First make sure the (a) term = 1... It is.

Get (c) to zero or blank by adding or subtracting as needed.

x² + 5x – 21 + 21 = 0 + 21

x² + 5x       = 21

Add the square of half of the b term to each side

x² + 5x + (5/2)² = 21 + (5/2)²

x² + 5x + (5/2)² = 27.25

rewrite the left side as a square

(x + 2.5)² = 27.25

square root of each side

x + 2.5 = ±√27.25

isolate x

x = -2.5 ±√(27.25)

x ≈ 2.72 or -7.72

Answer:

[tex]\frac{25}{4}[/tex] = 6.25

Step-by-step explanation:

x² + 5x - 21 = 0 ( add 21 to both sides )

x² + 5x = 21

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] = 21 + [tex]\frac{25}{4}[/tex]

(x + [tex]\frac{5}{2}[/tex] )² = [tex]\frac{109}{4}[/tex]

Answer:

C. y = | x – 5.5 |

Step-by-step explanation:

y = f(x) + n - moves the graph n units up

y = f(x) - n - moves the graph n units down

y = f(x + n) - moves the graph n units to the left

y = f(x - n) - moves the graph n units to the right

5.5 units to the right

y = f(x - 5.5) = |x - 5.5|

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Answer:

acd

Step-by-step explanation:

The answer to this is C I think, I'm usually always correct so trust me k?

Answer: 6 centimeter cube

Step-by-step explanation: Based on wideness.

Answer:

548 miles

Step-by-step explanation:

O.25m + 210 = 347

0.25m = 347 - 210

0.25m = 137

m = 137/0.25

m = 548

Câu A. Một sợi dây không giãn, khối lượng dây không đáng kể, được vắt qua một ròng rọc cố định. Hai đầu dây buộc hai vật có khối lượng tương ứng là m1 =500g và m2 <m1. Sau 2 (s) kể từ lúc bắt đầu chuyển động, hệ vật đi được 400 (cm). Tính m2 và sức căng của dây.

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

The + inside of an absolute value equation really means -.

So there will be a horizontal shift left by 10.5 units.

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

We are given that,

The parent function is .

Now, the parent function is shifted 10.5 units to the left.

Since, shift of a function f(x) by 'k' units to the left changes the function to f(x+k).

So, the new function is given by .

Hence, option D is correct.

Answer:

Step-by-step explanation:

Answer:

the marked down price is 56.95

Step-by-step explanation:

Answer:

[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]

Reflect over the y axis; dilate by a scale factor of 2.

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Explanation:

Let's focus on the bottom-most points of each rhombus. For rhombus A on the left, that point in question is (-3,1). For rhombus B, that corresponding lowest point is (6,2).

If we were to reflect rhombus A over the y axis, then (-3,1) would move to (3,1). Simply swap the sign of the x coordinate while keeping the y coordinate the same. Now compare (3,1) to (6,2). Notice that we can multiply each coordinate of (3,1) by the scale factor 2 so that we jump to (6,2)

[tex](3,1) \stackrel{\text{mult by 2}}{\longrightarrow} (6,2)[/tex]

This "multiply by 2" operation is done to each point of the reflected blue rhombus so that we end up with the green rhombus after all is said and done. Also, this trick of multiplying the coordinates by the scale factor only works if the center of dilation is the origin.

In short, we do two things:

which allows us to go from blue (rhombus A) to green (rhombus B)

Answer:

purple to blue -   5:8

I think you meant green is red

purple to red -     5:6

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

-7+12=5

Answer:

[tex]x=7[/tex]

-7 is not a solution for [tex]x+12=19[/tex]

Step-by-step explanation:

[tex]x +12 = 19[/tex]

Subtract 12 from both sides

[tex]x = 19-12[/tex]

Subtract 12 from 19 to get 7

[tex]x = 7[/tex]

It would be -7 if it was [tex]-x+12=19[/tex]

Answer:

a. What is asked: How many miles did she ride on Monday and Tuesday together?

b. What are the given facts: On Monday, she rode 1/5 of a mile, and on Tuesday she rode 2/5 of a mile.

c. What is the operation to be used: Addition

d. What is the number sentence: 1/5 + 2/5

e. What is the solution: 1/5 + 2/5 = 3/5

f. What is the complete answer: 3/5 of a mile