Which sequence of transformations proves that shape I is similar to shape II

A. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2

B. a reflection across the x-axis, and then a dilation by a scale factor of 3

C. a reflection across the x-axis, and then a dilation by a scale factor of 2

D. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3​

Answer:

b = 40

Step-by-step explanation:

The first step you have to do is multiply 4 on each side to cancel out the 4 under -b, so you can get b by itself.

4 x -10 = -b  x 4        should get this       -40 = -b

              4

Now the final step is to divide -1 on each side to cancel out the negative by b, thus getting b by itself. Then once that is done you will see that your answer is b=40.  

-40 = -b         should get this     40=b or b=40

-1      -1

Hope this helped!

Answer:

You will get there in 4 hours

Step-by-step explanation:

Use the distance formula D=r•t , to determine how much time, t, in hours it will take you to get there

Where D = Distance

r = rate = Average Speed

t = time in hours

From the question

D = 220 miles

t = ??

r = 55 miles/hour

Hence:

220miles = 55miles/hour × t

t = 220/55

t = 4 hours

You will get there in 4 hours

Answer: the answer is A

Step-by-step explanation

I Took The Quiz

Answer:

8 cups

Step-by-step explanation:

Answer:

8 Cups

Step-by-step explanation:

The first thing you do is divide 80 by 5 and it will give you 16. It says one half gallon so 16 is for a full gallon so you will end up dividing 16 by 2 and get eight.

Answer:

d

Step-by-step explanation:

Answer:

A. The expression of "40 times the sum of 24 and 36" would be 40 x (24+36), and the value would be 2400.

B. for the words portion it would be "20 times the sum of 650 and 350", and the value of that expression is 20,000.

C. The expression of "divide the difference between 1,600 and 400 by 4" should be 1200 / 4, and if that is the correct way to format the expression then the value would be 300.

D. for the words portion it would be "100 times the sum of 78 and 12", and the value of that expression is 10,000.

Step-by-step explanation:

Answer:

40 times the sum of 24 and 36

40 × (24 + 36)

2400

20 times the sum of 650 and 350

20000

divide the difference between 1600 and 400 by 4

(1600 - 400) ÷ 4

300

100 times the sum of 78 and 12

9000

Answer:

BC = 36

Step-by-step explanation:

If <X ≅ <A, and <Y ≅ B, therefore ∆XYZ is similar to ∆ABC.

Since ∆XYZ is similar to ∆ABC, it follows that the ration of their corresponding side lengths would be equal.

That is:

[tex] \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} [/tex]

AB = 15

XY = 5

YZ = 12

Thus:

[tex] \frac{AB}{XY} = \frac{BC}{YZ} [/tex]

Plug in the values

[tex] \frac{15}{5} = \frac{BC}{12} [/tex]

Multiply both sides by 12

[tex] \frac{15}{5}*12 = \frac{BC}{12}*12 [/tex]

[tex] \frac{15*12}{5} = BC [/tex]

[tex] 36 = BC [/tex]

The length of the segment BC is 36 and this can be determined by using similar triangle properties and the given data.

Given :

The following steps can be used in order to determine the length of the segment BC:

Step 1 - According to the given data, XY = 5 , YZ = 12 , and AB = 15. Also angle X congruent to angle A and angle Y congruent to angle B.

Step 2 - So, according to the given data, it can be concluded that both the triangles are similar.

Step 3 - From the above steps, it can be concluded that the corresponding sides ratios of the triangles are equal.

[tex]\rm \dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]

Step 4 - Now, substitute the values of YZ, XY, and AB in the above expression.

[tex]\rm \dfrac{15}{5}=\dfrac{BC}{12}[/tex]

Step 5 - Simplify the above expression.

BC = 36

For more information, refer to the link given below:

https://brainly.com/question/25882965

Answer:

d = 3

Step-by-step explanation:

Coordinate Plane

The image provided shows the four points given:

A=(2, 1), B=(5, 1), C=(7,2), D=(4,2).

It can be clearly seen the length of CD is just the difference of their x-coordinates:

CD = 7 - 4 = 3

We can also use the formula of the distance.

Given two points C(x,y) and D(w,z), the distance between them is:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

[tex]d=\sqrt{(2-2)^2+(7-4)^2}[/tex]

[tex]d=\sqrt{0^2+3^2}[/tex]

[tex]d=\sqrt{9}[/tex]

d = 3

Answer:

C. 4

Step-by-step explanation:

If he makes 2 for every five then he will make 4 for every 10 he shoots

Answer:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Answer:

sides stay the same length and angles must be equal

Step-by-step explanation:

Answer:

-1,512,390

Step-by-step explanation:

Given

a1 = 15

[tex]a_i = a_{i-1} -7[/tex]

Let us generate the first three terms of the sequence

[tex]a_2 = a_{2-1}-7\\a_2 = a_1 - 7\\a_2 = 15-7\\a_2 = 8[/tex]

For [tex]a_3[/tex]

[tex]a_3 = a_{3-1}-7\\a_3 = a_2 - 7\\a_3 = 8-7\\a_3 = 1[/tex]

Hence the first three terms ae 15, 8, 1...

This sequence forms an arithmetic progression with;

first term a = 15

common difference d = 8 - 15 = - -8 = -7

n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)

Using the formula;

[tex]S_n = \frac{n}{2}[2a + (n-1)d]\\[/tex]

Substitute the given values;

[tex]S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390[/tex]

Hence the sum of the first 660 terms of the sequence is  -1,512,390

Answer:45°

Step-by-step explanation:

First we need to find x

(5x-5)+(3x+3)+(5x)=180

Simplify

13x-2=180

Add 2 to each side

13x=182

Divide each side by 13

x=14

Now apply our x to angle B

3(14)+3

42+3

45

Angle B=45°

Answer:

1/1

Step-by-step explanation:

Answer:

Dos terceras partes de un número: [tex]\frac{2}{3}*x[/tex]

Un número menos su doble: x - 2*x

La suma de los cuadrados de tres números: x² + y² + z²

El producto de dos números divididos por un tercer número: [tex]\frac{x*y}{z}[/tex]

La suma de tres números consecutivos: x+(x+1)+(x+2)

Step-by-step explanation:

Una expresión algebraica es un conjunto de números y letras que se combinan con los signos de las operaciones aritméticas. En otras palabras, el lenguaje algebraico es el que utiliza letras, símbolos y números para expresar en forma breve y concisa enunciados en los que se pide realizar operaciones matemáticas.

Entonces, siendo x, y, z números al cual desear aplicar una operación aritmética, y teniendo en cuenta que:

las siguientes expresiones escritas en lenguaje algebraica serán:

Dos terceras partes de un número: [tex]\frac{2}{3}*x[/tex]

Un número menos su doble: x - 2*x

La suma de los cuadrados de tres números: x² + y² + z²

El producto de dos números divididos por un tercer número: [tex]\frac{x*y}{z}[/tex]

La suma de tres números consecutivos: es la suma del primer número, más el segundo que seria el primero más uno, más el tercero que seria el primero más 2. Esto es: x+(x+1)+(x+2)

Answer:

13

Step-by-step explanation:

Answer:

Remember this conversion factor:

1 U.S. customary cup = 0.0625 U.S. gallons

Step 2:

Let's pretend that you are converting 100 cups to gallons. To do this, simply multiply the number of cups you have by 0.0625 like so:

100 cups x 0.0625 gallons/cup

Solution

100 cups x 0.0625 gallons/cup = 6.25 gallons

Step-by-step explanation:

Answer:

Total amount taken in by the depeloper from the sale of apps = sum(5.99 * x * P(x))

= 5.99*0*0.05 + 5.99*20*0.25 + 5.99*40*0.18 + 5.99*60*0.12 + 5.99*80*0.3 + 5.99*100*0.1

= 319.87

Ans: $319.87

Step-by-step explanation:

The expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

The number of apps a developer sells daily has the probability distribution represented in the table:

Number of Apps, x       0      20    40     60      80    100

P(x)                              0.05  0.25  0.18   0.12     0.3     0.1

Each app sells for $5.99

We can calculate the expected daily total dollar amount taken in by the developer from the sale of apps:

The total amount is taken in by the developer from the sale of apps:

= sum(5.99x[P(x)])

= 5.99×0×0.05 + 5.99×20×0.25 + 5.99×40×0.18 + 5.99×60×0.12 +

   5.99×80×0.3 + 5.99×100×0.1

= 0 + 29.95 + 43.128 + 43.128 + 143.76 + 59.9

= 319.866 ≈ $319.87

Thus, the expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.

Learn more about the uniform distribution here:

brainly.com/question/13233983

#SPJ5

Answer:

30

Step-by-step explanation:

1000 / 10 = 100

300 / 10 = 30

use a common factor on each of the numbers to have the be  similar to the number they were before

Answer:

4

Step-by-step explanation:

2+2 = 4

Answer:

2

Step-by-step explanation:

x²+2xy+y²

Here x² has degree 2

2xy has degree also 2 because x has 1 degree and y has 1 degree so 1+1=2

y² has degree 2

So the highest degree of the expression is 2

Answer:

No Solutions

Step-by-step explanation:

for |4x -3| + 10 < 2

|4x - 3| < -8

Not possible since absolute value is positive

Answer:One apple is 1.17

One pear 0.25

See below :)

Step-by-step explanation:

Answer:

37.24

Step-by-step explanation:

ok so there's a strategy I got taught ready?

100%- 96.

38%-x

~cross multiply~

100x= 3724

÷100      ÷100

________________

x=37.24

Hope this helps :D   p.s- i recommend using this strategy :D

Answer:

38.96

Step-by-step explanation:

Ok so its hard to explain but 38% u move the percent sign 2 times to the left and then u get 38. then u put 96 as the decimal there it is!

Answer:

5 boxes with a X on it

Step-by-step explanation:

Answer: ok

Step-by-step explanation: I THINK it E2

Answer:

-6

Step-by-step explanation:

2x-8=-6x-11

Answer:

Is that army I spot here?

Step-by-step explanation:

Answer:

the bigger rectangle = 30 x 5

Step-by-step explanation:

divide the bigger width by the smaller width to find the rate of change (2.5) and multiply both numbers (length and width) to get the larger rectangle.

Answer:

30

Step-by-step explanation:

30