Which algebraic rule for a rotation describes the change in coordinates: G(5, -1) to G' (-5, 1)?

Answer:

SImilar triangles are: ABC, DBG, DEF, and BEH.

Step-by-step explanation:

There are clealy four well defined triangles in the image:

ABC, DBG, DEF, and BEH.

Given the parallelism of the mentioned lines, one can conclude that when those lines parallel to different sides of the triangle ABC for example (to sides AC and CB), intersect, they will also intersect giving similar angles . That is: angle ACB  must equal angle DGB, angle DFE, and angle BHE. Apart from that, the angles around the bases of all four triangles must be equal since they come from parallel lines. That is:

(1) angles BAC, BDG, BDF, and EBH must be equal to each other, and

2) angles ABC, DBG, DEF, and BEH must be equal to each other.

Therefore we have four triangles with congruent angles, which make them similar triangles.

Answer:

Option B.

Step-by-step explanation:

The given values are

E(X) = 3.2, V(X) = 1.3, E(Y) = 4.6, V(Y) = 5.1, and Cov (X, Y) = 0.

The given linear combination is  

[tex]Z=4X-5Y[/tex]

Now,

[tex]E(Z)=E(4X-5Y)[/tex]

It can be written as

[tex]E(Z)=4E(X)-5E(Y)[/tex]

Now, substitute the given values.

[tex]E(Z)=4(3.2)-5(4.6)[/tex]

[tex]E(Z)=12.8-23[/tex]

[tex]E(Z)=-10.2[/tex]

Therefore, the correct option is B.

Answer:

false

Step-by-step explanation:

96,240

a-9

2,3

8,9

Answer:

(a) 0.0855

(b) 0.0268

(c) 0.0319

Step-by-step explanation:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or greater than what was truly observed.

A small p-value (typically p ≤ 0.05) specifies sturdy proof against the null hypothesis (H₀), so we discard H₀. A large p-value (p > 0.05) specifies fragile proof against the H₀, so we fail to discard H₀.

(a)

Use the Excel function "=T.DIST.RT(1.465,11)" to compute the right-tailed p-value for a test statistic of, t = 1.465 and s degrees of freedom of, df = 11.

p-value = 0.0855

(b)

Use the Excel function "=T.DIST.2T(2.522,12)" to compute the two-tailed p-value for a test statistic of, t = 2.522 and s degrees of freedom of, df = 12.

p-value = 0.0268

(c)

Use the Excel function "=T.DIST(-1.952,22,TRUE)" to compute the left-tailed p-value for a test statistic of, t = -1.952 and s degrees of freedom of, df = 22.

p-value = 0.0319

Answer:

what do we know?

we know that a quarter is $0.25 and a nickel is $0.05

4x$.25 = $1

20x$0.05 = $1

and we have 84 coin

n = the number of nickels

q = the number of quarters

(1) n + q = 84 and

(2) 5*n + 25*q = 100*11.80 (always work in cents)

(3) 5*n + 25*q = 1180

Now substitute n from equation (1) into equation (3) and get

5*(84 - q) + 25*q = 1180

420 - 5*q + 25*q = 1180

20*q = 1180 - 420

20*q = 760

q = 38

Then using equation (1), plug in q

n + 38 = 84

n = 46

now check these values.

Is (.05*38 + .25*46 = 11.80)?

Is (2.30 + 9.50 = 11.80)?

Is (11.80 = 11.80)? Yes

Step-by-step explanation:

Plz Mark me as brainliest

Answer: 7 quarters and 19 nickels

Step-by-step explanation:

The product of twenty and a number means; 20 * n

Whatever the number equals is what we have to multiply 20 too.

Best of Luck!

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{The word OF means MULTIPLY in mathematical terms }[/tex]

[tex]\mathsf{So, \ your\ equation\ becomes: \dfrac{1}{3}\times 10.25 }[/tex]

[tex]\mathsf{You\ can\ convert\ \dfrac{1}{3}\ into\ a\ decimal\ and\ solve\ from \ there}[/tex] [tex]\textsf{(if you want to)}[/tex]

[tex]\mathsf{\dfrac{1}{3} \times 10.25=3.416667}[/tex]

[tex]\boxed{\textsf{Thus your answer is: \boxed{\huge\text{\bf{3.416667}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

800,00

Step-by-step explanation:

6 is grater than 5 so u round up

Answer:

800,000

Step-by-step explanation:

I remember learning this in 4th (so long ago) basically since the 7 is in the hundred thousand place you have to look to the left of it, since 6 is above 5 you have to round 7 up which is how you get 800,000

Answer:

The answer is B

Step-by-step explanation:

Answer: B- Indirect characterization is used to show that Steve is isolated and worried.

Step-by-step explanation:

Answer:

[tex]x^{12} y^{8}[/tex]

Step-by-step explanation:

[tex](x^{3} y^{2})^{4}[/tex]   You must multiply the outside exponent with the inside exponents.

[tex]x^{12} y^{8}[/tex]

Answer:

[tex] 400,000 + 60,000 + 5,000 + 100 [/tex]

46510 (add the zero since there are no ones)

Answer:t

Step-by-step explanation:

3x + 4 = 13

3x = 9

x = 3

Option 3

Answer:

subtract 4 then divide by three

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

surface area is the outside of everything.

Answer:

25

Step-by-step explanation:

this answer is 25, essentially you just remove the negative hope this helps

Answer:

[tex]\boxed{\bold{\huge{\boxed{\mathrm{Third\ Angle = 19.1\ degrees}}}}}[/tex]

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees. So, to find an unknown interior angle, we need to subtract rest of the two angles from 180 degrees.

So,

Third Angle = 180 - 118.6 - 42.3

Third Angle = 19.1 degrees

Answer:

0.94 liters antifreeze is  drained out and replaced with water to get a concentration to 50 per cent of the solution.

Step-by-step explanation:

Total amount of the solution is 4.7 liters.

It contains 70 percent antifreeze = 70% * of 4.7 = 3.29 liters of antifreeze

It contains 30 percent water = 30% * of 4.7= 1.41 liters water

For the solution to have 50 % antifreeze it must contain

4.7 * 50%= 2.35 antifreeze.

We have 3.29 liters and we want to have 2.35 liters of antifreeze

Therefore we will (3.29-2.35 =)0.94 liters drained out and replace it with water to get a concentration to 50 per cent.

Answer:

this might be the answer

The number of men and women in the group will be 18 and 26 respectively.

Given is that there are eight more women than men in a theater group. The group has a total of 44 members.

Let the number of men in the group be {x}. Then, the number of women will be (x + 8). We can write -

x + (x + 8) = 44

2x = 36

x = 18

Number of women : x + 8 = 26

The number of women in the group will be 26.

Therefore, the number of men and women in the group will be 18 and 26 respectively.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Answer:

La suma de los ángulos interiores de un dodecágono es 1800°

Step-by-step explanation:

Un dodecágono es un polígono (figura plana delimitada por lados rectos, creando una figura cerrada) formado por 12 lados, 12 vértices y por consiguiente, 12 ángulos interiores.

Los ángulos interiores de un polígono son los ángulos delimitados por dos lados y que se encuentran dentro del polígono.

Los polígonos convexos son aquellos en los cuales todos los ángulos del polígono miden menos de 180º y la suma de los ángulos interiores es determinada por el número de lados que posee el polígono de la siguiente manera: 180°*(n-2)

Entonces, la suma de los ángulos interiores de un dodecágono se calcula como: 180*(12-2)= 1800

La suma de los ángulos interiores de un dodecágono es 1800°

Answer:

Amplitude 3; midline y=2

Step-by-step explanation:

The midline is the mean of both ends of the function in the graph.

[tex]\frac{5-1}{2}=2[/tex]

The amplitude is the vertical distance between the midline and one of the end points.

[tex]5-2=3[/tex]

(sorry for the basic math, i just want to make sure you know where im getting the values from)

Answer:

50 granola bars

Step-by-step explanation:

800 divided get 50 bars

Answer:

The amount invested are $2600 and $11400 respectively

Step-by-step explanation:

Let the first amount be x

Given:

(First Investment)

Principal (P1) = x

Rate (R1) = 4.5%

Time (T) = 1 year

(Second Investment)

Principal (P2) = 4x + 1000

Rate (R2) = 6%

Time (T) = 1 year

Income = $801

Calculating the income from the first investment;

[tex]I_1 = \frac{P_1R_1T}{100}[/tex]

Substitute values for P1, R1 and T

[tex]I_1 = \frac{x * 4.5 * 1}{100}[/tex]

[tex]I_1 = \frac{4.5x}{100}[/tex]

Calculating the income from the second investment;

[tex]I_2 = \frac{P_2R_2T}{100}[/tex]

Substitute values for P2, R2 and T

[tex]I_2 = \frac{(4x + 1000) * 6 * 1}{100}[/tex]

[tex]I_2 = \frac{6(4x + 1000)}{100}[/tex]

[tex]I_1 + I_2 = Annual\ Income[/tex]

So:

[tex]\frac{4.5x}{100} + \frac{6(4x + 1000)}{100} = 801[/tex]

Multiply through by 100

[tex]100 * \frac{4.5x}{100} +100 * \frac{6(4x + 1000)}{100} = 801 * 100[/tex]

[tex]4.5x +6(4x + 1000) = 801 * 100[/tex]

[tex]4.5x +24x + 6000 = 80100[/tex]

Collect Like Terms

[tex]4.5x +24x = 80100 - 6000[/tex]

[tex]28.5x = 74100[/tex]

Divide through by 28.5

[tex]x = \frac{74100}{28.5}[/tex]

[tex]x = \$2600[/tex]

Recall that; the second invest

Amount Invested = 4x + 1000

This gives

[tex]Amount = 4 * \$2600 + 1000[/tex]

[tex]Amount = \$11400[/tex]

Hence;

The amount invested are $2600 and $11400 respectively

Answer:

Anna

Step-by-step explanation:

First of all, let's look at both equations. 6x/4 multiplied by 3x/4 will equal 18x/6. Anna's equation is correct, but let's look at Tim's equation. Tim says that the answer would be 9x/4. However, he had incorrectly simplified it. Simplifying 18x/16 would be 9x/8, not 9x/4.

Answer:

Anna

Step-by-step explanation:

First of all, let's look at both equations. 6x/4 multiplied by 3x/4 will equal 18x/6. Anna's equation is correct, but let's look at Tim's equation. Tim says that the answer would be 9x/4. However, he had incorrectly simplified it. Simplifying 18x/16 would be 9x/8, not 9x/4.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

To copy an angle we follow the following steps,

1). Draw a working line with the help of a straightedge.

2). Now we put a point S as the vertex of the angle.

3). Construct an arc with a radius 'r' (any length ) from vertex S which intersects the working line say at V.

4). With the same radius we draw an arc from point E which intersects the line ED and EF at G and H respectively.

5). Mark an arc from point G which intersects line EF at I.

6). Measure the distance between points G and I with compass and mark an arc from point V which intersects the previous arc say at U.

7). Now join the points S and U.

Hence we copy any angle.

Answer:

10

Step-by-step explanation:

The least common multiple is the smallest number that all 3 numbers will multiply properly to. In this case it is 10, because it is a multiple of all three of the numbers (2x5, 5x2, 10x1) and is the smallest as it cannot go below the largest number (10)

Hope this helped!

Answer:

10

Step-by-step explanation:

The least common multiple 10 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

Answer:

8

Step-by-step explanation:

2g = 3 + 13

2g = 16

g = 16/2

g = 8

Answer:

g=8

Step-by-step explanation:

2g-13=3

2g-13+13=3+13

2g=16

2g/2=16/2

g=8

Answer:  -3

Step-by-step explanation:

Answer:

a. Because event B rules out obese subjects.

b. "A or B" is the event that the person chosen is overweight and obese.

Step-by-step explanation:

1. Disjoint events are those events which do not have the same elements. Event A and event B can only be disjoint if they both have separate subjects that is event A contains obese persons and event B contains overweight persons.

Therefore they are only disjoint when set B rules out ( leaves out) obese people. So choice a is the best answer.

Disjoint events are also called mutually  exclusive events

2. In statistics the symbol or means including. Event A or B  would mean including both types of person obese and overweight. In mathematical expression it is written as

P (A or B) = P (A) + P (B) For mutually exclusive events. ( disjoint events)