The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

Answer:

see explanation

Step-by-step explanation:

(a)

The angles are vertical and congruent, that is

x - 10 = 125 ( add 10 to both sides )

x = 135

-------------------------------------------------

(b)

Supplementary angles sum to 180°

The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then

2x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus

2x = 2 × 36 = 72

3x = 3 × 36 = 108

Then the 2 angles are 72° and 108°

Now you can mark them brainliest.

Answer:

4x-27x-54-90=

Step-by-step explanation:

well first you have to subtract x which is -23x              

then u have to bring 90+54 on the other side

which then leaves you with

-23x=144

x=-6.260869565217391

can i also get brainliest please

Answer:

x = 23

Step-by-step explanation:

Given

[tex]\frac{x-11}{2}[/tex] - [tex]\frac{x-3}{5}[/tex] = 2

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

5(x - 11) - 2(x - 3) = 20 ← distribute and simplify left side )

5x - 55 - 2x + 6 = 20

3x + 49 = 20 ( add 49 to both sides )

3x = 69 ( divide both sides by 3 )

x = 23

Answer:

1.67 percent

Step-by-step explanation:

Answer:

What events or steps are described?

Do these things need to occur in a particular order?

Step-by-step explanation:

Answer:

7 times 10 equals 70

Step-by-step explanation:

70 divided by 7 equal 10 and 70 divided by 10 equal 7

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Answer:

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Step-by-step explanation:

Answer:

Commutative property

Answer:

It is commutative property!

Step-by-step explanation:

Distributive is when the numbers are distributed while commutative is when you can swap around the numbers and nothing would change therefore the equation you gave is a commutative property

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

Evan spent 20 hours doing homework last week

25 hours were spent this week.

Let's see what 125% of 20 equals:

= (125 / 100) * 20

= (125 / 10) * 2

= 125 / 5

= 25 hours

But,

It is written that Evan thought he spent 125 % more than the last week which means:

= (125% of 20) + 20

= 25 + 20

= 45 hours

He should've said that he has given 25% more time than the last week.

(Note that: 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer: 224

Step-by-step explanation:

Responder:

1/15

Explicación paso a paso:

Dado que :

Número bolas verdes = 3

Número de bolas rojas = 5

Número de bolas azules = 2

Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde

Probabilidad = resultado requerido / Total de resultados posibles

Resultados posibles totales = 3 + 5 + 2 = 10

P (1er azul) = número de azules / 10

P (1er azul) = 2/10 = 1/5

Sin reemplazo :

Total restante = 10 - 1 = 9

P (segundo verde) = número de verdes / 9 = 3/9

Probabilidad del primer azul y del segundo verde:

1/5 * 3/9 = 3/45 = 1/15

The probability that the first is blue and the second is green is 1/15

Probability is the likelihood or chance that an event will occur.

If a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls

Learn more on probability here: https://brainly.com/question/24756209

Answer:

32/2 is 16.

So.... 16 miles per 30 minutes

Step-by-step explanation:

Merry Christmas

Answer:

16 miles in a half hour

Step-by-step explanation:

divide the hour in half and then divide the 32 mph to get the 16 mph.

Answer:

X= 2

Step-by-step explanation:

9x-10

(9*2)-10

18-10

8

3x+2

(3*2)+2

6+2

8

Answer:

The measure of a base angle of one of the triangles is 54°

Step-by-step explanation:

In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles

∵ The total number of degrees in the center is 360°

∵ All five vertex angles meeting at the center are congruent

→ To find the measure of each vertex divide 360° by 5

∴ The measure of each vertex = 360° ÷ 5

∴ The measure of each vertex = 72°

∵ The base angles are equal in the isosceles triangle

∵ The sum of the measures of the angles of a triangle is 180°

→ Assume that the measure of each base angle is x

∴ x + x + 72° = 180°

∴ 2x + 72° = 180°

→ Subtract 72 from both sides

∵ 2x + 72 - 72 = 180 - 72

∴ 2x = 108

→ Divide both sides by 2 to find x

∴ x = 54

∴ The measure of each base angle = 54°

∴ The measure of a base angle of one of the triangles is 54°

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

Answer:

it would be 32/100

Step-by-step explanation:

Answer:

32% of his bats were stuck out.

Step-by-step explanation:

Answer:

y=mx+b

y=35+5x

Step-by-step explanation:

Answer:  

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

Solution:

Step 1: Set up a table with quantity and value.

quantity value total

$3 tickets  

$2 tickets  

together  

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantity value total

$3 tickets x 3 3x

$2 tickets y 2 2y

together 350  950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Answer:

The answer is 16

Step-by-step explanation:

X^3=64

Y^2=4

so 64 divided by 4 is 16

Answer:

16

Step-by-step explanation:

this might help you

Answer:

Hours of work= 3.5

Step-by-step explanation:

Giving the following information:

Allowance= $5

Hourly pay= $7.5

Desired profit= $31

To calculate the number of hours to work, we need to use the following formula:

Hours of work= shoveling pay / hourly pay

Hours of work= (31 - 5)/7.5

Hours of work= 26/7.5

Hours of work= 3.5

Answer:

she had 23 and 1/4 cups of sugar left to make the cookies.

93/4 is the improper fraction of that.

[tex]\frac{93}{4} / \frac{3}{5}[/tex]

the lowest common multiple is 20, so convert the fractions to have common denominator

[tex]\frac{465}{20} / \frac{12}{20}[/tex]

divide the numerators and you have your answer

38.75 cookies

Step-by-step explanation:

Answer:

80 boxes.

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

Answer:

80 CDS

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

Answer:

(B). 38 cm³

Step-by-step explanation:

V = a² [tex]\frac{h}{3}[/tex]

a = 4.5 cm

h² = (6.1)² - ( [tex]\frac{4.5}{2}[/tex] )² = 32.1475

h = √32.1475 ≈ 5.67

V = (4.5)²( [tex]\frac{\sqrt{32.1475} }{3}[/tex] ) ≈ 38.27 ≈ 38 cm³

Answer:

[tex]38 cm^3[/tex]

Step-by-step explanation:

Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.

The formula for the volume of a square pyramid is generally known as:

[tex]V = 1/3 a^2h[/tex], where the variable 'a' represents the base side length and 'h' represents the height.

Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:

[tex]a^2+b^2=c^2[/tex]

This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is [tex]\frac{s}{2}[/tex], takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.

[tex]h^2+\left(\frac{4.5}{2}\right)^2=6.1^2[/tex]

Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.

Now we can finally use the general formula to solve the volume of a square pyramid.

[tex]V = 1/3 a^2h[/tex]

Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.

[tex]V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)[/tex]

The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Answer:

x=7

Step-by-step explanation:

Answer:

$928

Step-by-step explanation:

23200/100 = 232

232 * 4 = 928

Answer:

He needs to sell 25 pieces of artwork.

Step-by-step explanation:

$500 for an oil painting.

$300 for a charcoal sketch.

56 pieces of artwork total.

$20,000 goal.

500 + 300

= 800

$800 for 1 oil painting and 1 charcoal sketch.

20,000 ÷ 800

= 25

He needs to sell 25 pieces of artwork to make $20,000.

Given:

The diameter of a bicycle wheel is 28 inches.

To find:

The circumference of the wheel as it relates to diameter.

Solution:

We have,

Diameter: [tex]d=28\text{ inches}[/tex]

We know that,

Radius: [tex]r=\dfrac{d}{2}[/tex]

[tex]r=\dfrac{28}{2}\text{ inches}[/tex]

The circumference of a circle is

[tex]C=2\pi r[/tex]

Putting [tex]r=\dfrac{28}{2}[/tex], we get

[tex]C=2\times \pi \times \dfrac{28}{2}[/tex]

[tex]C=28\times \pi[/tex]

Therefore, the correct option is (H).