The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles are graphed on a coordinate plane. The horizontal x-axis ranges from negative 10 to 10 in increments of 1. The vertical y-axis ranges from negative 10 to 10 in increments of 1. A dashed triangle has vertices at begin ordered pair negative 2 comma 7 end ordered pair, begin ordered pair 7 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. A solid triangle has vertices at begin ordered pair negative 2 comma negative 5 end ordered pair, begin ordered pair negative 5 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. What is the scale factor used to create the dilation? Enter your answer in the box.

Answer:

{4, 9, 14, 19, 24}

Step-by-step explanation:

Best to use the notation a(1) = 4, a(n) = a(n-1) + 5.

a(1) = 4  (given)

a(2) = 9  (here we found a(2) by adding the common difference, 5, to a(1)

a(3) = 14

a(4) =  19

a(5) = 24

Answer:

Option (2)

Step-by-step explanation:

Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.

From the figure attached,

m∠C = [tex]\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}][/tex]

        = [tex]\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})][/tex]

        = [tex]\frac{1}{2}[360-2m(\widehat{AB})][/tex]

        = [tex]180-m\widehat{AB}[/tex]

        = 180 - 150

        = 30°

Therefore, measure of angle C will be 30°.

Option (2) is the answer.

Answer:

A

Step-by-step explanation:

Answer:

y is equal to 7 when x is equal to 14.

Step-by-step explanation:

-6 divided by -3 is equal to 2.  This means x divided by y is equal to 2.  

x / y = 2

14 / 7 = 2

Answer: [tex]\dfrac{1}{8}[/tex]

Step-by-step explanation:

Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{total outcomes}}[/tex]

Given , Sam has 4 cards numbered 2,3,5, and 7.

His friend has 4 cards numbered 1,2,6 and 7.

If they both draw one card and put that on table , then the possible combinations of cards would be (2,1) , (2,2), .... (7,6), (7,7).

i.e. Number of possible outcomes would be (S) 4 x 4 = 16

Favorable outcomes that they will choose same number (F) = (2,2) , (7,7)

Now , the probability that they will both choose the same number would be :

[tex]\dfrac{F}{S}=\dfrac{2}{16}=\dfrac{1}{8}[/tex]

Hence, the required probability = [tex]\dfrac{1}{8}[/tex]

Answer:

Solution

[tex]length = 9 \: cm \\ on \: dilation \: with \: a \: scale \: factor \: of \: 3 \\ now \\ length = 9 \times 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 27 \: cm[/tex]

hope this helps...

Good luck on your assignment....

Answer:

On average, Albani gets 20.933 inches of rain per year.

On average, Zachary gets 24.734 inches of rain per year.

On average, Zachary gets more rain than Albani.

Step-by-step explanation:

Mean is given by:

[tex]Mean = \frac{Sum}{Total}[/tex]

For Albani :

Sum of total number of terms = 23.36+18.51+28.54+22.36+30.50+24.74+11.93+15.34+18.07+15.98

Sum of total number of terms = 209.33

Number of terms = 10

[tex]Mean=\frac{209.33}{10}\\\\Mean=20.933\\[/tex]

For Zachary :

Sum of total number of terms = 27.27+20.11+31.14+25.88+32.97+25.03+18.55+23.91+22.75+19.73

Sum of total number of terms = 247.34

Number of terms = 10

[tex]Mean=\frac{247.34}{10}\\Mean=24.734[/tex]

Answer:

Approximetly 6

Step-by-step explanation:

a^2 + b^2 = c^2

1.6^2 + 5.8^2 = c^2

2.56 + 33.64 = c^2

36.2 = c^2

c=6 (approximetly)

Answer:

z = 3

Step-by-step explanation:

Using the rule of exponents

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Thus

[tex](q^{4}) ^{z}[/tex] = [tex]q^{4z}[/tex] , so

[tex]q^{4z}[/tex] = [tex]q^{12}[/tex]

Since the bases on both sides are equal then equate the exponents

4z = 12 ( divide both sides by 4 )

z = 3

Answer:

The value of z is 3.

Step-by-step explanation:

You have to use Indices Law,

[tex] {( {a}^{m}) }^{n} \: ⇒ \: {a}^{mn} [/tex]

So for this question, first you have to get rid of brackets :

[tex] { ({q}^{4} )}^{z} = {q}^{12} [/tex]

[tex] {q}^{4z} = {q}^{12} [/tex]

Next you can solve it since both have the same bases :

[tex] {q}^{4z} = {q}^{12} [/tex]

[tex]4z = 12[/tex]

[tex]z = 3[/tex]

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

516 - 123 = 393

8.25 x 43 = 354.75

393 - 354.75 = 38.25

38.25 / 12.75 = 3

There were 3 adults

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

3 adults

Step-by-step explanation:

(each child)£8.25×(total children)43=£354.75(total amount paid for children)

£354.75+£123=£477.75

£516-£477.75=£38.25

£38.25÷£12.75=3

Answer:

Hope this helps..

Step-by-step explanation:  

So when you need to divide one complex number by another, you multiply the numerator and denominator of the problem by the conjugate of the denominator. This step creates a real number in the denominator of the answer, which allows you to write the answer in the standard form of a complex number.

Answer:

You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.

Step-by-step explanation:

Answer:

this is a little late haha but the last one

Step-by-step explanation:

cus the slope is 2 and the y intercept is -1

Answer:

B-3

Step-by-step explanation:

2(4.5×2)+2(3×2)+2(4.5×3)

=57

6(3×3)=54

57-54=3

Answer:

1222 ft²

Step-by-step explanation:

418+198+252+234+120=1222 ft²

Answer:

Option B, C and E are supplementary angles.

Step-by-step explanation:

We need to find supplementary angles.

Supplementary angles are those angles who sum up to 180 °.

I have attached picture for reference.

Looking at the figure given:

We have supplementary angles:

∠4 and ∠3

∠4 and ∠5

∠5 and ∠6

∠7 and ∠8

∠3 and ∠6

But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6

So, Option B, C and E are supplementary angles.

Supplementary angles are pair of adjacent angles that add up to 180 degrees

For a pair of angles to be supplementary, then the following must be true

The image is not given.

So, I provided a general explanation

Read more about supplementary angles at:

https://brainly.com/question/18217469

The sequence is the Fibonacci sequence!

It works like this.

1+2=3

2+3=5

3+5=8

5+8=13

8+13=21

and so on.

Answer:

Step-by-step explanation:

Ad the last two for the next

(1+2)= 3.  3+5=8.......

so 13+21= 34

21+34= 55

34+55= 89

not sure what you are looking for but I hope that helps.

Answer:

A,c,and d

Step-by-step explanation:

4.632 is rounded to 4.63

4.6228 is rounded to 4.62

4.6257 is rounded to 4.63

4.6285 is rounded to 4.63

Answer:idk

Step-by-step explanatio

[tex]+12+(-12)\\=0[/tex]

Answer:

C.

Step-by-step explanation:

symmetry means that when you fold the paper along the line of symmetry shape is overlapping

Answer:

The polygon with the smallest perimeter is the megagon

The polygon with the largest perimeter is the triangle

Step-by-step explanation:

An equilateral triangle with area = 20 has

0.5× a²×sin60 = 20

a= 6.796

Hence, perimeter = 20.39

A square of area 20 has perimeter= 4×√20 = 17.9

A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05

Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases

Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.

Answer:

61 2/3 = n

Step-by-step explanation:

Is means equals and of means multiply

37 = 60% * n

37 = .60n

divide each side by .60

37 / .60 = .60n/.60

61.6666666 repeating = n

61 2/3 = n

Answer:

Hope this working is clear

Answer:

a. Karen can do 2.5 coloring pages a minute.

c. 240 minutes

Step-by-step explanation:

c. 96 / 12 = 8. 8 x 30 = 240.

Answer:

Height = 8cm

Step-by-step explanation:

I hope it helps

The required height of the cylinder is 8cm.

A  cylinder of base radius 4cm. The ratio of the area of it's base to that of it's curved surface area is 1:4. Height of cylinder is to be determine.

Surface area is defined as the area of the surface that are uncovered.

Here,
area of circle/surface area of cylinder=1/4
πr²/2πrh=1/4
r/2h=1/4
h=2r
where r = 4cm
h = 2*4
h = 8cm

Thus, the required height of the cylinder is 8cm.
           

Learn more about surface area here:
https://brainly.com/question/2835293

#SPJ2

Answer:

8

Step-by-step explanation: