2. The two figures are similar. Complete sentences

a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain.

Answer:

15

Step-by-step explanation:

it all comes down to 7x-1

then set that equal to 106 so it looks like 7x - 1 =106

106 - 1 = 105

105/7 = x

x = 15

good luck on your test

Answer:

Step-by-step explanation:

The solution to the equation is given by:

F. [tex]x = \frac{\sqrt{10} + 2}{5}[/tex]

It is given by:

[tex](5x - 2)^2 = 10[/tex]

First, we apply the square root to both sides to remove the square, hence:

[tex]\sqrt{(5x - 2)^2} = \sqrt{10}[/tex]

[tex]5x - 2 = \sqrt{10}[/tex]

Then, isolating x:

[tex]5x = \sqrt{10} + 2[/tex]

[tex]x = \frac{\sqrt{10} + 2}{5}[/tex]

Given by option F, which is the solution.

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Answer: the exact volume is 1,357.168

Step-by-step explanation:

Answer:

1356.48 cm³

Step-by-step explanation:

V = πr²h

V = 3.14 × (6 cm)² × 12 cm

V = 1356.48 cm³

Answer:

x=-5

Step-by-step explanation:

please tell me if im wrong lol

Answer:

[tex] (5 , - 0.4)[/tex]

Answer: 32 cups of milk

Step-by-step explanation:

The first thing to do is to convert the gallons of milk to milkshakes so that you are able to convert easier to cups.

There are 128 ounces in 1 gallon and Monica has 2 gallons. The amount of milk Monica has in ounces is:

= 128 * 2

= 256 ounces

Each cup is capable of holding 8 ounces and there are 256 ounces available so the number of cups of milk is:

= 256 / 8

= 32 cups of milk

The mean, median, and mode of the data will be 41.111, 40, and 51 respectively.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The data is given below.

63, 40, 51, 70, 36, 21, 51, 28, 19

Arrange the data in ascending order, then we have

19, 21, 28, 36, 40, 51, 51, 63, 70

Then the mean of the data is given as,

Mean = (19 + 21 + 28 + 36 + 40 + 51 + 51 + 63 + 70) / 9

Mean = 379 / 9

Mean = 42.11

The median of the data is the middle term of the data which is 40.

The mode is 51 because the number frequency of 51 is the highest.

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Answer:

In this question you got multipel answers.

If she buys as much pants as she can;

135 - (15.p) = 5.s

135 - (15.9) = 0

so now she has bought no shirts and 9 pants.

if she buys as much shirts as she can;

135 - (5.s) = 15.p

135 - (5.27) = 0

so now she has bought no pants and 27 shirts.

If she wants a shirt for each pants the equation would look something like this;

p=s=x

135 - (15.x) = 5.x

but with each pants she can buy three shirts, so 9 = 3.3

(7.15)+(6.5)= 105+30= 135

so now she has 7 pants and 6 shirts.

Answer:

James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.

Answer:

Yes.

Step-by-step explanation:

5/5 = 1.

9/10 = 0.9 < 1.

Answer:

28.27 I believe

Step-by-step explanation:

Answer:

28.26ft²

Step-by-step explanation:

A = πr²

plug in 3 for r

A = π(3²)

A = π(9)

A = 3.14(9)

A = 28.26ft²

Answer:

x = 17

Step-by-step explanation:

Answer:

Hello! Just did the assignment! Your answer would be d. x-axis! Hope you stay safe! :)

Answer:

from what we're given on the drawing, ac and pt are congruent

and from the question format, ab is equal to pq, ac is equal to pr

Answer:

divide by 8

Step-by-step explanation:

Answer:

324ft^2

Step-by-step explanation:

rectangle: 22ft X 12ft = 264ft^2

trapazoid: 1/2(22+8)4 = 60ft^2

264 + 60 = 324ft^2

hope this helped!! :D

tell me if you need further explaination!

Answer:

i think G

Step-by-step explanation:

Answer:

G. rational numbers only

Step-by-step explanation:

Answer:

We add for example when they give us something and words we already had keys we subtract when it exists as "we should"

Answer:

Y = 60 degrees and X = 12

Step-by-step explanation:

x+3 and 15 are congruent so x+3 = 15, 12+3 = 15 therefore x = 12

y = 60 vertically opposite angles are equal. :D

Answer:

x= 12

y= 60

Step-by-step explanation:

to find x we need to know that lines DC and AB are parallel, so they have the same length (I don't know if that is why they have the same length, but I know they do lol)

So you can make this equation and solve:

15=x+3

-3     -3

12=x

THEN, to find y angle A and C are vertical angles, so they are congruent (this is the reason why they have the same measure lol)

So, y=60 degrees :)

I hope this sorta helps lol :)

Answer:

travel 2 hour stop 1 hour then again for 2 hours

Step-by-step explanation:

Answer:

It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.

Answer:

[tex]25x = 1250[/tex]

[tex]\frac{1250}{25}[/tex]

x=50

x has value 50

Answer:

20

Step-by-step explanation:

Hope this helps!!!!

If it is tens its 20

If it ins tenth its 19.8

To round 19.798 to the nearest tenth consider the hundredths’ value of 19.798, which is 9 and equal or more than 5. Therefore, the tenths value of 19.798 increases by 1 to 8.

19.798 rounded to the nearest tenth = 19.8

Answer:

19.8

Step-by-step explanation:

I'm not sure if you mean "tens" or "tenths" so I assumed "tenths".

If it was "tens" then it would be 20.

It is to be noted that the scatter plot that represent the above data is attached accordingly.

A scatter plot is a graph in which the data of two variables are displayed along two axes, and any association is revealed by the pattern of the resultant dots.

Slope-intercept form is y = mx + b

m is the gradient of the line, determined by calculating "change of y divided by change of x"

To compute for the gradient (m) we say:

(60 - 32)/(8-2)

= 28/6

m = 4.667

Next we calculate for b

The point on the graph where the line crosses the vertical line is known as the y-intercept, or b. (y-axis).

Put one of the graph's points, say (2, 32), and the amount of m you just computed into the slope-intercept form to calculate b.

That is:

32 = m(2) + b

Recall that m = 4.667

Hence 32 = 4.667 * 2 + b

32 = 6.667 + b

b = 32 - 6.667

b = 25.33

Given that we have the figures for m and b,
Recall that the function is: y = mx + b; and that

If x = 14 years, then

y = 4.667 * 14 + 25.33

y = 90.668

y ≈ 91 kg.

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Answer:

i = -6

Step-by-step explanation:

3 - 2i + 8 = 23

3 + 8 - 2i = 23

11 - 2i = 23

11 - 11 - 2i = 23 - 11

-2i = 12

-2i ÷ -2 = 12 ÷ -2

i = -6

Answer:

A = 121 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi*r

22 pi = 2 * pi *r

Divide each side by 2 pi

22 pi / (2 pi) = 2 pi r / (2pi)

11 = r

Now find the area

A = pi r^2

A = pi (11)^2

A = 121 pi in^2

Answer:

They drive 31 miles in one hour.

Answer:31 miles

Step-by-step explanation:

Answer:

- 1,3

Step-by-step explanation:

because you can see it decrease at -3,1

Answer:

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

They lie on the same horizontal line

Distance = 11 units

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

They do not lie on the same vertical or horizontal line

Step-by-step explanation:

Given

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

Required

Determine if the points lie on the same vertical or horizontal line

A point is represented as: [tex](x,y)\\[/tex]

Using the above illustration, we have:

[tex](a)\ (0, -2)\ and\ (0, 9)[/tex]

The above have the same x values (0), hence they lie on the same horizontal line.

The distance between them is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]d = \sqrt{(0-0)^2 + (-2 - 9)^2}[/tex]

[tex]d = \sqrt{0^2 + (-11)^2}[/tex]

[tex]d = \sqrt{0 + 121}[/tex]

[tex]d = \sqrt{121}[/tex]

[tex]d = 11[/tex]

The distance between them is 11 units

[tex](b)\ (11, 4)\ and\ (2, 11)[/tex]

The above pair do not have the same x value and they do not have the same y value.

Hence, they do not lie on the same vertical or horizontal line

Answer:

2.67 feet long

Step-by-step explanation:

Create a proportion where x is the length of the parking meter's shadow:

[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]

Cross multiply and solve for x:

23.9x = 63.72

x = 2.67

So, the parking meter's shadow is approximately 2.67 feet long