**Answer:**

The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3

**Step-by-step explanation:**

The given information are;

The vertices of ΔPQR are;

P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)

Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

For side PQ, we have;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)

Given that the points have equal y-values, the length is the difference of their x-values as follows;

[tex]l_{PQ}[/tex] = 6 - 3 = 3

Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;

[tex]l_{QR}[/tex] = -3 - (-6) = 3

Length PR is given as follows;

(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)

[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]

[tex]l_{PR}[/tex] = 3·√2

For P'Q', we have

P'(-2, 2), Q'(-2, 1)

[tex]l_{P'Q'}[/tex] = 2 - 1 = 1

[tex]l_{P'Q'}[/tex] = 1

For Q'R', we have

Q'(-2, 1), R'(-1, 1)

[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1

[tex]l_{Q'R'}[/tex] = 1

For P'R', we have;

P'(-2, 2), R'(-1, 1)

[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]

[tex]l_{P'R'}[/tex] = √2

Therefore, given that we have

PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3

The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.

5y-30=-5y+30 and also can you show the steps :}

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

**y = 6**

*hope this helps!*

3-4 what is the answer I am dumb plz helq

**Answer:**

Its -1. Do not call yourself dumb, though, negatives are the easiest subject

**Step-by-step explanation:**

loll it’s -1 ! don’t worry you’re not stupid

The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How

much did she resell the ticket for?

What

she sold the ticket for $39.50

explanation: you take 36 and time it by 10% and it will give you $3.60 and you add it to 36

explanation: you take 36 and time it by 10% and it will give you $3.60 and you add it to 36

In the image above, what do the red arrows on lines mean?

Evaluate 3{5 + 3[10 + 4.8]}

**Answer:**

393

**Step-by-step explanation:**

Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the

function for the indicated value of x.

A. f(x) = |x-31-2; x = -5

B. g(x) = 1.5x; x = 0.2

C. p(x) = 17 - 2x]; x = -3

I think it’s B because it’s negative

HELP!!!!!!!!!!!!!!!!!!!!!!!!

**Answer:**

1. 30

2. 0.83333333

3. 1.2

4. 30

**Step-by-step explanation:**

H is the only reasinable decimal

The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

**Answer:**

ok u need to list the numbers in the journal

**Step-by-step explanation:**

that doesn't give the answer

**Answer:**

what doesnt give the answer??

**Step-by-step explanation:**

Solve proportion 2/4.5=t/0.5

**0.2 or 2/9 in fraction form I believe.**

XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.

**Answer:**

29° and 58°

**Step-by-step explanation:**

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

Which inequality matches the graph shown?

**Answer:**

I am pretty sure it is x>8 which is B.

**Step-by-step explanation:**

I’m one hundred percent positive it’s B because if it’s open the aren’t less then or equivalent to or greater than or equivalent to

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?

Answer:

1.6hours

Step-by-step explanation:

We know that Speed= distance/ time

But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.

And the distance is given as 800 miles

Then, what we need is to substitute the given Distance into the equation of time.

t= 1/500d. Where d= 800 miles

t= (1/500) × 800 miles

t= 800 miles/500

t= 1.6hours

Hence, it will take the airplane to travel 800 miles , 1.6hours

a cubic block of ice has a volume of 1,331 inches how tall is the block

**Answer:**

The answer is 11. 11^3 is 1,331.

**Step-by-step explanation:**

NP

The length of a rectangle is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches

**Length = 7 Width = 2**

**Step-by-step explanation:**

**L = Length**

**W = Width**

**L=9w-11**

**2L+2W=18**

**2(9W-11) + 2W = 18**

**18W - 22 +2W = 18**

**20W -22 = 18**

**20W = 40**

**W = 2**

**L = 9(2)-11**

**L=18-11**

**L=7**

you are listening to a playlist that has three hip hop songs 2 rock songs if they are a 15 more songs on this playlist and the ratio of hip hop song or rock song stayed the same how many of each type would be on this playlist

doing this fa points , sorry not sorry .

Apply the Triangle Sum Theorem, and solve for x.

5x° (Angle G)

4xº(Angle H)

3xº(Angle J)

**Answer:**

15°

**Step-by-step explanation:**

5x°+4x°+3x°=180°

12x°=180°

X=(180/12)°

X=15°

m= 4/5 - 2/5

————- = ?

-1 - -2

**Answer:**

2/5 = 4/5 - 2/5 = m

Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?

**Answer:**

9 dollars

**Step-by-step explanation:**

It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.

Help with these math questions grade 12

**Answer:**

1. 15.1%

2. 8.3%

3. 12%

4. 25%

**Step-by-step explanation:**

1.

percent change = (new number - old number)/(old number) * 100%

percent change = (21300 - 18500)/(18500) * 100%

percent change = 15.1%

A positive percent change is a percent increase.

Answer: The percent increase is 15.1%.

2.

percent change = (new number - old number)/(old number) * 100%

percent change = (298000 - 325000)/(325000) * 100%

percent change = -8.3%

A negative percent change is a percent decrease.

Answer: The percent decrease is 8.3%.

3.

percent change = (new number - old number)/(old number) * 100%

percent change = (110 - 125)/(125) * 100%

percent change = -12%

A negative percent change is a percent decrease.

Answer: The percent decrease is 12%.

4.

percent change = (new number - old number)/(old number) * 100%

percent change = (1500 - 2000)/(2000) * 100%

percent change = -25%

A negative percent change is a percent decrease.

Answer: The percent decrease is 25%.

what is the answer for −3x−6+(−1)

Hi it would be -9x-1 hope that helps

**Answer:**

-3x-7

**Step-by-step explanation:**

Combine like terms

-6+-1 = -6-1 = -7

Hence, it's -3x-7

Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?

Joe will make a $8.00 profit

people wont solve my question i need it ASAP

**Answer:**

A pig has 10,000 kg mass more than a mass

**Step-by-step explanation:**

[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:

**Answer:**

**Step-by-step explanation:**

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x = 7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

**Answer:**

eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|

**Step-by-step explanation:**

Write 2.08 x 10^2 in standard form.

**Answer:**

208

**Step-by-step explanation:**

If you multiply 2.08 by ten to the second power (100) Then you get 208

**Scientific notations **are the way through which a very small or a very large number can be written in **shorthand**. The given **expression **can be written in the **standard form **as 208.

**Scientific notations **are the way through which a very small or a very large number can be written in **shorthand**. In scientific **notations **when a **number **between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The given **expression **can be written in the form of an expression as shown below.

2.08 x 10²

= 2.08 × 100

= 208

Hence, the given **expression **can be written in the **standard form **as 208.

Learn more about **Scientific notation **here:

https://brainly.com/question/1740231

#SPJ2

What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

**Answer:**

1.13

**Step-by-step explanation:**

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Convert y = x2 - 4x + 1 to vertex form by completing the square.

O y= (- 1)2 + 4

O y= (1 - 2)2 +5

O y= (x - 2)2 – 3

O y = (x - 4) + 1

**Answer:**

vertex: (-2, -3)

**Step-by-step explanation:**

y = x2 + 4x + 1

y = x2 + 4x + 22 + 1 - 22

y = (x + 2)2 + 1 - 4

y = (x + 2)2 - 3 in y = (x - h)2 + k, (h, k) is the vertex.

**Answer:**

y = (x - 2)² - 3

**Step-by-step explanation:**

Given

y = x² - 4x + 1

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 1

= (x - 2)² - 3

if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet

**Answer:**

300 dollars

**Step-by-step explanation:**

Multiply 10 feet by 12 feet to get the total number of feet needed

10x12=120 feet

120 times $2.5= $300

The **cost **to **carpet **a** rectangular floor **is **$300.**

Given that,

The cost of carpeting a floor is $2.50 per foot ABased on the above information, the **calculation **is as follows:

[tex]= 10 \times 12 \times \$2.50[/tex]

= $300

Learn more: brainly.com/question/17429689

EASY MATH QUESTION PLEASE I NEED HELP!

**Answer:**

x=8/3

Step by step

determine the defined range

remove parentheses

move the terms

collect like terms and calculate

divide both sides

I need help what is -0.5 _ -0.2

-0.5 < -0.2,

because I need more characters

because I need more characters

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One of the dog treats in Shelleys shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
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