I need help with this please

Answer:

There is a dilation and the scale factor is 4

Step-by-step explanation:

The details that complete the question are:

△ABC

A(2, 5), B(6, 10), C(9, −1)

△A′B′C′

A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)

Checking if there is dilation or not

To do this, we make use of the following scale factor (k) formula:

[tex]k = \frac{Original}{Image}[/tex]

Using A and A'

[tex]k = \frac{A}{A'}[/tex]

[tex]k = \frac{(2,5)}{(0.5,1.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4*\frac{(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using B and B'

[tex]k = \frac{B}{B'}[/tex]

[tex]k = \frac{(6,10)}{(1.5, 2.5)}[/tex]

Factorize the numerator

[tex]k = \frac{4(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4*\frac{(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using C and C'

[tex]k = \frac{C}{C'}[/tex]

[tex]k = \frac{(9, -1)}{(2.25, -0.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

The above shows that k is 4 in all cases.

Hence, there is a dilation and the scale factor is 4

Answer:the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5

Step-by-step explanation:

Volume of lemonade in the mixture = 150ml

Volume of fruit juice in the mixture = 250ml

Ratio of the volume of lemonade to the volume of fruit juice= 150ml: 250ml

and reducing to the simplest form , we have

150:250

dividing both by 10 gives

15:25

dividing both by 5 gives

3:5

Therefore  the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5

Answer:

Step-by-step explanation:

Rational solution

Answer:

D also if you input these equations into Desmos it can graph it for you :)

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

by solving the equation we get ;

Step-by-step explanation:

x = 1

hope it helps

Be happy and make happy

Answer:

1.25

Step-by-step explanation:

step 1.so if there is 20 pounds between 16 bags ok

step 2. divide 20 by 16 which equals 1.25

Answer:

x=4

x=6/5

Step-by-step explanation:

5x^2-26x-24=0

(x-4)(5x-6)

Answer:

i think is y>X

Step-by-step explanation:

Answer:

GFKSKKGKKSFG

Step-by-step explanation:

Answer:

post pictures also for your answer

Answer:

12x-3x

= 9x

Step-by-step explanation:

Hope it is helpful....

Answer: -1/2

Step-by-step explanation:

Answer:

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

                  X clothes  = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960  total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

 5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y   = 960 - 40  = 920 clothes

Maria and Don has claimed $1839.8 as a medical deduction.

Calculate medical expenses after removing medical insurance expense, that is

20,800 - 60% of 20,800

= 12480

Now, 20,800-12480

=$8,320

Now calculate 10% of gross income

10% of 101,598

= 10/100 × 101,598

= 0.1 × 101,598

= $10,159.8

Now medical deduction = 10% of income - Medical expenses

= 10,159.8-8,320

= $1839.8

Therefore, the medical deduction is $1839.8.

To learn more about the tax visit:

brainly.com/question/16423331.

#SPJ4

Answer:

3/20

Step-by-step explanation:

Given that :

Share for 5 persons = 3/4 of a whole pizza

Each person gets an equal size of the share :

Hence, share per person :

Portion of pizza / number of persons

3/4 ÷ 5

3/4 * 1/5

= (3*1) / (4*5)

= 3/20

Answer:

please give me more context so I can help you more

Answer:

it represents how many each person gets

Answer:

Hello im pretty sure that the represents the friend prove me if im wrong

Step-by-step explanation:

Answer:

we have

1+2=180(being co-interior angle)

2x+5+3x-10=180

5x-5=180

5x=180+5

x=185/5=37

m<1=2x+5=2×37+5=74+5=79

1. 13.8

2. 34.32

4. 7.2

5. 211.12

3. 28.05

Answer:

y=-8x+2

Step-by-step explanation:

Answer:x=75

Step-by-step explanation:

They are opposite of eachother so they are equal to eachother

2x= 130

x= 75

Answer:

27/7 or   3   6/7

Step-by-step explanation:

3/7 divided by 1/9 = 27/7

rounded to 3

Have a nice day

The 0.317 spray bottle did she ​us.

It is required to find how much of the bottle did she ​use.

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

We know that total =1

For a cleaning solution=3/7 of a spray bottle

Used=1/9

According to given question we have,

Subtract the fractions

3/7 - 1/9

Calculate the difference,

=20/63

=0.317

Therefore, the 0.317 spray bottle did she ​us.

Learn more about fraction here:

brainly.com/question/21342360

#SPJ2

Answer:

y=(5/2)x+14

Use the slope formula and slope-intercept form y=mx+b to find the equation

Answer:

$1.38

Step-by-step explanation:

The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges

The cost difference is calculated as:

Cost of 6lbs of oranges - Cost of 4lbs of oranges

Cost of 6lbs of oranges = $6.18

Cost of 4lbs of oranges = $4.80

Hence,

= $6.18 - $4.80

= $1.38

Answer:

A. 85°

Step-by-step explanation:

By intersecting chords theorem:

[tex] m\angle ABC= \frac{1}{2} (130 \degree + 40 \degree)[/tex]

[tex] m\angle ABC= \frac{1}{2}\times 170 \degree[/tex]

[tex] m\angle ABC= 85 \degree[/tex]

Answer:

6

Step-by-step explanation:

3 5 5 7 9 10

Take 5 and 7 and then avrage them.

Answer:

the correct answer is C (0,8)

Step-by-step explanation:

got 100%

Answer: C (0,8)

Step-by-step explanation: correct on test