Triangle ABC is transformed to triangle A′ B′ C′, as shown below:

Which equation shows the correct relationship between the measures of the angles of the two triangles?

a. The measure of angle ABC = The measure of angle A prime B prime C prime

b. The measure of angle ABC = The measure of angle B prime C prime A

c. The measure of angle BCA = The measure of angle A prime B prime C prime

d. The measure of angle BCA = The measure of angle C prime A prime B prime

Answer:

Mantle

Step-by-step explanation:

I think its mantle

Answer:

3/5x + 3/8

Step-by-step explanation:

2/5x + 5/8 + 1/5x - 1/4

1. Combine like terms so now u have

3/5x + 3/8

In case you want to know how I got 3/8

You want a common denominator so

from  5/8 + 1/4, make both denominator 8

so 1 *2/ 4* 2

so now you converted the 1/4 to 2/8

So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8

Hope this helped!

Answer:

3/5x + 3/8

Step-by-step explanation:

Answer:

it depend on which angle is the sun is

Step-by-step explanation:

Answer:

It would be approximately 40 ft, but the precise answer is 39.375 ft. Hope that helped!

Step-by-step explanation:

C

have a nice day!!!!!!!!!!!!!!!!!!!!!!!

Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.

A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.

Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.

As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.

In a normal distribution 68% of the values falls within 1 standard deviation

and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.

Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.

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Answer:

0.0016283

Step-by-step explanation:

Given that:

Proportion of defective bulbs, p = 30% = 0.3

Sample size, n = 19 bulbs

Probability that the lot will pass inspection :

P(none of the 19 is defective) Or P(only one of the 19 is defective)

P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19

0.7^19 = 0.0011398

P(only one of the 19 is defective) :

P(1 defective) * P(18 not defective )

(0.3) * (1 - 0.3)^18

0.3 * 0.7^18

0.3 * 0.001628413597910449 = 0.0004885

Hence,

P(none of the 19 is defective) + P(only one of the 19 is defective)

0.0011398 + 0.0004885) = 0.0016283

Answer:

18 degrees

Step-by-step explanation:

Answer:

fat

Step-by-step explanation:

yo mamo so fat when she jumps to the pool she sends the water to mars

Answer:

Elliot is able to move the table through, since 2 3/4 is more than 2 5/8.

Step-by-step explanation:

2 3/4 - 2 5/8 = 0.125

0.125 is a positive number.

So, Elliot is able to move the table through the doorway.

what is the acceleration of a car that has a mass of 300 kg and 1200N

Answer:

well the acceleration produced will be

[tex]4ms { - }^{2} [/tex]

Step-by-step explanation:

the formula used here is

F = m × a

(where m = mass , a = acceleration and f = force )

so,

=》1200 N = 300 kg × a

=》a = 1200N ÷ 300 kg

=》a = 4 metre per second square

[tex]4ms { - }^{2} [/tex]

Answer:

there is no picture?

Step-by-step explanation:

Answer:

PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.

Step-by-step explanation:

The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The quadrilaterals which have supplementary consecutive angles are called Parallelogram.

A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.

The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.

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Answer:

Step-by-step explanation:

Perimeter=a+b+c=6+8+10=24 m

Area=1/2*a*b=1/2*6*8=24 m^2

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways

Answer: 3 is the oppos ire of -3 and it takes 6 steps to get to it

Step-by-step explanation:

Answer:

"Which number is the opposite of -3?": The number that is opposite of (-3) is 3

"Starting at -3, how many steps does it take to get to the opposite of -3?": It takes 6 steps to get to the opposite of -3.

" What does this number of steps represent?": This number represents the distance between -3 and 3.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did it

Answer: It would be 2x-19

Step-by-step explanation:

Answer:3c + 18d brainless pls

Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

3

(

5

c

+

4

d

)

+

6

(

d

−

2

c

)

⇒

(

3

⋅

5

c

)

+

(

3

⋅

4

d

)

+

(

6

⋅

d

)

−

(

6

⋅

2

c

)

⇒

15

c

+

12

d

+

6

d

−

12

c

Next, group like terms:

15

c

−

12

c

+

12

d

+

6

d

Now, combine like terms:

(

15

−

12

)

c

+

(

12

+

6

)

d

3

c

+

18

d,

Given:

[tex]\to 5c + d = c+ 4d[/tex]

To find:

c:d=?

Solution:

\to 5c + d = c+ 4d

simulating the identical terms:

[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]

so, the ratio is 3:4

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Answer:

For a function f(x) = y.

The independent variable is the one that we chose to input in the function, in this case, is x, and the dependent variable is the variable that changes in response to the independent variable, in this case, is y.

In this problem we have:

"Sammy has $180 in her savings account and plans to deposit $20 each month."

We can define:

y = money in her savings account

x = number of months that have been passed since she started saving.

Originally, she has $180, and she saves $20 per month, so if x months have been passed, the total amount of money in her savings account is:

y = f(x) = $180 + $20*x

Now we want to know if this function is continuous or discrete, to see this we need to look at the possible values of x.

x represents the number of months that have been passed, then the values that x can take are:

x = 0, 1, 2, 3, 4, ...

So x can only take the values of positive integers, this means that the domain of x is discrete, then the function f(x) is a discrete function.

Answer:

£152

Step-by-step explanation:

Solution:

Find out how much is 1/3 of 255 coins:

255 x 1/3 = 85

Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.

255 - 85 - 110 = 60

There are 60 20p coins, 85 £1 coins and 110 50p coins.

Find out the total value by calculating them all altogether.

60 x 20p = 1200

85 x 100p which is £1 = 8500

110 x 50p = 5500

I did them separately so that it wouldn't be so confusing.

Convert them into £, then after that add them up.

£12 + £85 + £55 = £152

Answer:

Percent is always out of 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

===============================================

The three medians of this triangle are:

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

Answer:

Step-by-step explanation:

Rewriting the given as factors:

As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n

As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:

So correct choice is C

Answer:

6/9 miles

Step-by-step explanation:

Answer:

Sometimes

Step-by-step explanation:

Answer:

[tex]r^2=\dfrac{A}{4\pi}[/tex]

Step-by-step explanation:

The given equation is A=4 πr².

We need to solve the above equation for r².

We have,

A=4πr²

Dividing both sides by 4π, we get :

[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]

Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].

Answer:

x = ±√89-30 cos(55) (everything is under the radical)

and then plug the radical into a calculator and you get two answers:

x1= -9.39873

x2=9.39873

Step-by-step explanation:

i hope this helped :)

Answer:

17, 558 employees

Step-by-step explanation:

Altogether = 70,010 employees , First location = 34, 857 employees, second location = 17, 595 employees, Third location = ?

Let the number of employees in the third location be x

70,010 + 17, 595 + x = 70,010

x = 70, 010 - 52452

x = 17, 558( Answer)

17, 558 employees work in the third location