Describe each transformation from f(x)
(red) to g(x) (green) in terms of x.

Triangles are congruent

Step-by-step explanation:

Law of Side, Side, Angle

Thier base are same (PR).

Thier 1 side is equal to 2 inch (PS = RQ).

Thier 1 angle is equal (/_ PRQ = /_ RPS)

So, Its prove that both triangles are congruent.

P + 127 = 550        P = 423

Answer:

P = 423  

P + 127 = 550

Step-by-step explanation:

Answer:

12/25

Step-by-step explanation:

There were a total of 48 males, so 48/100 = 12/25.

+---------------+------+--------+-------+

|           | Male | Female | Total |

+---------------+------+--------+-------+

| Prefers Dogs  | 36 | 20 | 56   |

+---------------+------+--------+-------+

| Prefers Cats  | 10   | 26 | 36   |

+---------------+------+--------+-------+

| No Preference | 2 | 6  | 8   |

+---------------+------+--------+-------+

| Total         | 48   | 52     | 100   |

+---------------+------+--------+-------+

Answer:

8000 lei

Step-by-step explanation:

Ni se spune la întrebarea de mai sus să găsim suma depusă în bancă.

Ni se oferă următoarele valori

R = rata = 2% = 0.02

T = Timp = 1 an

Suma totală = A = 8160 lei

Trebuie să găsim principalul (suma depusă la bancă).

Formula de utilizat este dată ca:

P (Principal) = A / (1 + rt)

P = 8160 lei / 1 + 0.02 × 1

P = 8160 lei / 1.02

P = 8000 lei

Prin urmare, suma depusă în bancă este de 8000 de lei.

Answer:

the two percent of 8160 its 163.2 so its 7996.8

Step-by-step explanation:

Answer:

Volume of Burj Khalifa Prism = 4000 [tex]cm^2[/tex]

Volume of CN Tower Prism = 2671 [tex]cm^2[/tex]

Step-by-step explanation:

Given

Height of Burj Khalifa = 828 m

Height of CN Tower in Toronto = 553 m

Base of rectangular prism is a square with sides 10 cm [tex]\times[/tex] 10 cm.

Height of Burj Khalifa prism = 40 cm

828 m is represented as 40 cm

[tex]\Rightarrow 553 m[/tex] is represented as [tex]\frac{40}{828 } \times 553 = 26.71\ cm[/tex]

So, height of rectangular prism of CN Tower = 26.71 cm

Volume of a Prism is given by the Formula:

[tex]V=Area\ of\ Base \times Height[/tex]

Base is a square, so Area of base = [tex]Side^2[/tex]

Volume of Burj Khalifa Prism:

[tex]V_B=10^2 \times 40 = 4000\ cm^2[/tex]

Volume of CN Tower Prism:

[tex]V_C=10^2 \times 26.71 = 2671\ cm^2[/tex]

So, the answer is:

Volume of Burj Khalifa Prism = 4000 [tex]cm^2[/tex]

Volume of CN Tower Prism = 2671 [tex]cm^2[/tex]

Answer:

The correct option is;

With the compass point on G, construct an arc that intersect GD←→

Step-by-step explanation:

The steps for constructing a parallel line to a given point is as follows;

1) With the straightedge, a transversal is drawn intersecting the giving line and passing through point G

2) Copy the angle formed between the transversal and the given line and the to the point G starting by constructing an arc with the compass on point G to intersect GD←→ then with the compass opening still the same, place the compass on the point of intersection of the arc constructed from point G on GD and construct another arc to intersect the arc previous arc from G to GD

3) The line drawn from the intersection through is a parallel line to EF

Therefore, the correct option is that with the compass point on G, construct an arc that intersect GD←→.

Answer:

A.  With the compass on point D , construct an arc that intersects EF¯¯¯¯¯ and GD←→.

Step-by-step explanation:

I just took the test!

Answer:

52

Step-by-step explanation:

42, 45, 58, 63

The mean is the sum divided by the number of terms

(42+ 45+ 58+ 63)/4

208/4

52

Answer:

Step-by-step explanation:

42 + 45 + 58 +631 + 422 + 473 + 52 = 1723

then divide by 7 to get 246.142857

hope this helps :)

Answer:

32

Step-by-step explanation:

P=2(l+w)

so 2(11+5)=P

2(11+5)=32

Answer:

77 degrees

Step-by-step explanation:

The diagram is drawn and attached below.

m∠3= (3x + 4)°

m∠5 = (2x + 11)°

Angles 3 and 5 are co-interior angles and are therefore supplementary (add up to 180 degrees).

(3x + 4)°+(2x + 11)°=180°

5x+15=180

5x=180-15

5x=165

x=33

Therefore, the measure of angle 5

m∠5 = (2x + 11)°

= (2(33) + 11)°

=66+11

=77°

The measure of angle 5 is 77 degrees.

Answer:

Step-by-step explanation:

a) Increase in population =510,000 - 430,000 = 80,000

Percentage increase = [tex]\frac{80,000}{430,000}*100[/tex]

                                   = [tex]\frac{800}{43}[/tex]

                                   = 18.6 %

b) Percentage increase = 17.3%

Increase in population = 17.3% * 510,000

                                     = 0.173 * 510,000

                                     = 88,230

Predicted population in 2021 = 510,000 + 88,230

                                                 =  598,230

Answer:

x-intercept → (-5, 0)

Step-by-step explanation:

Let the equation of the line having pairs given in the table is,

y - y' = m(x - x')

m = slope of the line

(x', y') is a point lying on the line.

From the given table,

Two points (33, -22) and (52, -33) lie on the line.

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        m = [tex]\frac{-33+22}{52-33}[/tex]

                        m = [tex]-\frac{11}{19}[/tex]

Equation of the line passing through (33, -22) and slope = [tex]-\frac{11}{19}[/tex] will be,

y + 22 = [tex]-\frac{11}{19}(x - 33)[/tex]

For x-intercept y = 0,

0 + 22 = [tex]-\frac{11}{19}(x-33)[/tex]

-38 = x - 33

x = -38 + 33

x = -5

Therefore, x-intercept of the line is (-5, 0).

Answer:

-5,0

Step-by-step explanation:

khan academy

Answer:

X=36.4 or 36.37306696.... and Y=42

Step-by-step explanation:

So you have a 30-60-90 triangle!

Do Not Worry this is a hard subject to understand, but I will try to do my best with helping you. Right now you need to find x and y. All you have is 21.  Under your 60 angle, which is pointing downward, is the 21. And 21 is initially in the spot of x or 1. so 21 is the x(But not the x on the side of 90). I am sorry if this is a bit confusing.

You are then going to take your side which is x, the side that is directly in the path of 90, and it is going to be 21[tex]\sqrt{3[/tex]. Then on the side of your y, which is in the path of your 60, it will be 2 times your x.

The general layout of this is:

x is underneath the side of 90 degrees.

then on the side where 60 degrees and 30 degrees is, is going to be x[tex]\sqrt{3[/tex].

Then the last side, where 30 degrees and 90 degrees lay, will be 2(x).

So all you have to do is plug everything in.

x=36.4 in decimal

y=42(because all you had to do was plug 21 where the x is, because that is where x is in the general layout.)

The value of x = 42 units

The value of y = 21√3 units

The study of the correlation between a right-angled triangle's sides and angles is the focus of one of the most significant branches of mathematics in history: trigonometry. Hipparchus, a Greek mathematician, introduced this idea.

As per the given diagram:

The triangle is a right angle triangle.

Using trigonometric ratios to find x and y:

tan30° = (P/B)

tan30° = (21/y)

(1/√3) = (21/y)

y = 21√3 units

sin30° = (P/H)

(1/2) = (21/x)

x = 2 × 21

x = 42 units

The value of x and y is 42 units and 21√3 units, respectively.

To learn more on Trigonometry, click:

brainly.com/question/17199821

#SPJ7

Answer:

1: d. 3054^3

2: d. 20x

Step-by-step explanation:

1)

Well to find the volume of a sphere we use the following formula,

[tex]\frac{4}{3}\pi r^3[/tex]

So the radius is 9.

9*9*9 = 729

729*pi = 2290.22104447

So it is 2290 rounded to the nearest whole number.

2290 * 4/3 = 3053.3333333

Thus,

the answer is d. [tex]3054^3[/tex]

____________________________________________________________

So we have to factor 25x^2 - 9,

which is [tex]\left(5x+3\right)\left(5x-3\right)[/tex].

So if the l and w are 5x + 3 and 5x - 3,

= 10x

10x + 10x = 20x,

Thus,

the answer is d. 20x

Answer: C: 60 ft

Step-by-step explanation:

Her pencil is 12 inches and its shadow is 4 inches. Her pencil is 3 times longer than its shadow, so using that logic we can conclude that the tower is 3 times longer than its shadow as well.

[tex]20*3=60[/tex]

The tower is 60 feet tall.

Answer:

y=2 or y-2=0

Step-by-step explanation:

to find the equation first find the slope m points (-1,2) and (5,2)

m=y2-y1/x2-x1 =2-2/5-(-1)=0/6=0

y=mx+b  the slope is zero then y=b=2

Answer:

all real numbers

Step-by-step explanation:

f(x) = (x + 1)^2

There is no restriction on x, so the domain is:

all real numbers

Answer:

140 toy cars

Step-by-step explanation:

The ratio of Ed's toy car to Pete's toy car is initially given as 5:2

Ed gave Pete a total number of 30 cars

Let x represent the greatest common factor that exists between both number

Number of Ed's car is represented as 5x

Number of Pete car is represented as 2x

Since they each have an equal number of cars which is 30 then we can solve for x as follows

5x-30=2x+30

Collect the like terms

5x-2x= 30+30

3x= 60

Divide both sides by the coefficient of x which is 3

3x/3=60/3

x=20

Ed's car is 5x, we substitute 20 for x

5(20)

= 100 cars

Pete car is 2x,we substitute 20 for x

2(20)

= 40 cars

Therefore, the total number of cars can be calculated as follows

= 100+40

= 140 toy cars

Hence they have 140 toy cars altogether

Answer:

140

Step-by-step explanation:

Answer:

1) Factor form : [tex]h(t)=-5t(t-8)[/tex]

2) 8 second after launch.

Step-by-step explanation:

The height of the ball (in meters above the ground) t seconds after launch is modeled by

[tex]h(t)=-5t^2+40t[/tex]

To find the time when ball hit the ground, we need to find the factor form of the given function.

[tex]h(t)=-5t(t-8)[/tex]

When ball hi the ground, then height of the ball from the ground is 0.

[tex]h(t)=0[/tex]

[tex]-5t(t-8)=0[/tex]

Using zero product property, we get

[tex]-5t=0\Rightarrow t=0[/tex]

[tex]t-8=0\Rightarrow t=8[/tex]

Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.

Answer:

-5t(t - 8) and it hit 8 seconds after launch.

Answer:

x = 121°

Step-by-step explanation:

The angle supplementary to 115° is 180 - 115 = 65° and the angle that forms a full circle with 304° is 360 - 304 = 56°. Since the measure of an exterior angle is equal to the sum of its remote interior angles, we know that x = 65 + 56 = 121°.

Answer:

A:

9×1=9

9×2=18

9×3=27

9×4=36

9×5=45

9×6=54

9×7=63

9×8=72

9×9=81

9×10=90

B:

It goes down by 1 after multiplying a bigger number.

C:

It goes up by 1 after multiplying a bigger number.

Step-by-step explanation:

hope this helps you and have a great day

Answer:

Hope this helps. If not let me know and I'll explain it better

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2[tex]x[/tex] and PC = 3[tex]x[/tex]

Now, BP + PC = BC = 58 = 2[tex]x[/tex] + 3[tex]x[/tex] = 5[tex]x[/tex]

So,

[tex]5x =58\\\Rightarrow x =11.6[/tex]

BP = [tex]2\times x = 2 \times 11.6 = 23.2\ inches[/tex]

Location of the Cut = 2 + 23.2 = 25.2 inches

Alternatively, we can use the formula directly:

[tex]x = \dfrac{m} {m + n } (x_2 - x_1) + x_1[/tex]

[tex]x_1 = 2\\x_2 = 60[/tex]

m: n is the ratio 2:3

[tex]x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}[/tex]

Answer:

Yes i confirm the answer above is correct. A.) 25.2

Step-by-step explanation:

I took the test duhh

Answer:

30

Step-by-step explanation:

4/5 (x-20)=8

4/5x-4/5*20=8

4/5x-16=8

4/5x=24

x=(24*5)/4

x=30

hope it helps..

Answer:

Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of samples is important in an experiment, that is, to carry it out in a random way.

Step-by-step explanation:

For example;

If a crop at a certain time of year, for example in summer, is affected by a certain fungus, to know if it is really the time of year that affects this problem, random samples of the same crop with the same characteristics and put it to the test at another time of the year to see if the weather is really a risk factor in the spread of this fungus.

Answer:

8 : 1

Step-by-step explanation:

From the above question, we are given the following parameters

Sphere A has a diameter of 6 and is dilated by a scale factor of 2 to create sphere B.

Volume of a sphere = 4/3πr³

For Sphere A , diameter = 6

Radius = Diameter ÷ 2 = 6÷ 2 = 3

Volume of Sphere A = 4/3 × π × 3³

= 113.09733553 cubic units

Approximately = 113.1 cubic units

We were given a scale factor (k) of 2

Because we are dealing with volume, the scale factor will be cubed

In order to find the Volume of the sphere B

k³ = Volume of Sphere A/ Volume of Sphere B

2³ = 113.1 / Volume of Sphere B

Volume of Sphere B = 113.1/ 2³

= 14.1375 cubic units.

The ration of the Volume of Sphere A to Sphere B

Sphere A: Sphere B

113.1 : 14.14

= 8: 1

Answer:

1:8

Step-by-step explanation:

Took the test and got it right trust

Answer:

23.8

Step-by-step explanation:

V = 4/3 π r³

V = 4/3 π (15)³

V = 4500 π

V = 4/3 π r³

4500 π / 2 = 4/3 π r³

1687.5 = r³

r ≈ 11.9

d ≈ 23.8

Answer:

23.8 is the diameter.

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

Just took the test got a 100%

edg 2021

Answer:

A: Reflection

Step-by-step explanation:

Let's be honest, no one hardly ever pays attiontion to the explanation.

<3

Answer:

-3

Step-by-step explanation:

Well to find the common ratio we need to figure out,

what * 2/3 = -2.

To find that we do -2 ÷ 2/3

= -3

To check -2 * -3 should be 6 which it is.

Thus,

the common ratio is -3.

Hope this helps :)

Answer:

-3

Step-by-step explanation:

Common ratio = 2nd term ÷ 1 st term

                        = -2 ÷ 2/3

                       = [tex]-2 * \frac{3}{2}\\\\[/tex]

                        = -3

Answer:

The resistance decreases.

Step-by-step explanation:

The resistance decreases as the conductor is made thicker.

First of all, resistance is like some sort of an obstacle right?

So if the conductor is made thicker it will be easy for the electrons to pass through.

And if the conductor is made thinner it won't be easy for the electrons to pass through. Which makes the resistance increase as there will be collision between the electrons.

Hope this helped ;) ❤❤❤