What is the slope of the line through (2, -1) and (-2, -3)?

The value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.

What is the triangle translation?

In mathematics, a triangle translation refers to the geometric transformation in which a triangle is moved to a new position without rotating or scaling it. The triangle is simply slid along a straight line in a certain direction, and the new position of the triangle will be parallel to the original one.

Given that ΔABC translates to ΔA'B'C', we can assume that the measures of the angles are the same in both triangles. Therefore, if we know the measure of an angle in one triangle, we can assume that the measure of the corresponding angle in the translated triangle is the same.

Given:

m∠A = y

m∠A' = 2x + 5

m∠C = 3x-y

m∠C' = 4

Since opposite angles in a rectangle are congruent, m∠A=m∠C' and m∠C = m∠A'

Therefore,

y = 4

3x-y = 2x + 5

Solving this equation gives us:

x = y + 5 = 4 + 5 = 9

y=4

m∠C = 3x - y = 3(9) - 4 = 25

m∠A' = 2x + 5 = 2(9) + 5 = 23

Hence, the value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.

To learn more about the triangle translation, visit:

https://brainly.com/question/30095014

#SPJ1

The domain of the given graph is (-∞ < x < ∞)

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

Given is a graph,

For f(x) = x, there is no restriction on x

Both the domain and range are the set of all real numbers.

Hence, The domain will be (-∞ < x < ∞)

For more references on domain, click;

https://brainly.com/question/28135761

#SPJ1

The rate based on the information will be 590 kilometers per hour and 1010 kilometers per hour

Rate in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that rate contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

Since the an airplane travels 4720 kilometers in 8 hours. The rate is:

= 4720 / 8

= 590 kilometers per hour

Flying with the wind, the same plane travels 4040 kilometers in 4 hours. The rate will be:

= 4040 / 4

= 1010 kilometers per hour

Learn more about rate on;

brainly.com/question/25537936

#SPJ1

The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ1

Answer:

True

Step-by-step explanation:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables. So yes this is a polynominal.

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

[tex]f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8[/tex]

h(a+4)

This function is:

[tex]h(a+4) = (a+4)^2 + 6(a + 4) + 8[/tex]

[tex]h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8[/tex]

[tex]h(a+4) = a^2 + 14a + 48[/tex]

f[h(a+4)]

[tex]f(x) = 5x[/tex]

Thus

[tex]f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240[/tex]

The correct answer is given by option C.

Answer:

3,2,7

A)an=12+(n-1)5

B)an=-8+(n-1)5

C)an=5+(n-1)(-8)

D)an=-8+(n-

Answer:

There could be 12 red pens and 21 black pens

Step-by-step explanation:

Answer:

Area is 195 in

Step-by-step explanation:

I did this assignment :D

The no. of customers they serve per day is equal to 14.

It is given that the total number of customers served in first year of business was 5110.

We have to find that what will be the average of servings per day ?

What do you mean by average ?

The average is the ratio of sum of all numbers to the total no. of numbers.

As per the question ;

Total number of people served in a year = 5110

We know that ;

1 year = 365 days

So ;

To calculate the average of servings per day we need to divide total number of servings by no. of days in 1 year.

i.e.,

Average of customers per day ;

= 5110 ÷ 365

= 14 customers per day

Thus , the no. of customers they serve per day is equal to 14.

Answer:

18.75

Step-by-step explanation:

Just add 2.5 and 16.25 :)

Answer:

Lily must live 18.75 miles away

Step-by-step explanation:

If Lily lives 2.5 miles further from school than Dante then the equation is

16.25+2.5 = x

Add them together and you get 18.75

Step-by-step explanation:

c = 12m - 17

m = 2

c = 12×2 - 17 = 24 - 17 = 7

m = 4

c = 12×4 - 17 = 48 - 17 = 31

m = 8

c = 12×8 - 17 = 96 - 17 = 79

9514 1404 393

Answer:

  C.  1

Step-by-step explanation:

The lateral area is given by the formula ...

  LA = 2πrh

Filling in the given values, you have ...

  8π = 2π·r·4

  1 = r . . . . . . . . divide by the coefficient of r

The radius of the cylinder is 1 foot.

Answer:

Step-by-step explanation:

343

Answer:

7

Step-by-step explanation:

Answer:

Using substitution method

x=2

y=3

Answer:

70

Step-by-step explanation:

Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.

Answer:

1) 1/10

2) 1/2

3) 1/5

Step-by-step explanation:

1)

1 favorable outcome and 10 total outcomes.

[tex]P(3) = \frac{1}{10}[/tex]

2)

5 favorable outcomes and 10 total outcomes

[tex]P(even) = \frac{5}{10} = \frac{1}{2}[/tex]

3)

2 favorable outcomes and 10 total outcomes

[tex]P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}[/tex]

Answer:

Fahrenheit.

Step-by-step explanation:

In the given formula, the variables given stand for:

C = Celsius

F = Fahrenheit

~

In this case, you plug in the temperature in Fahrenheit into F, and then use the equation to obtain the temperature in Celsius.

~

Answer:

141

Step-by-step explanation:

calculator

Answer:

141

Step-by-step explanation:

22+125=147

147-6=141

therefore

the answer is 141

Answer:

D+Q = 31

10D + 25Q = 595

10D + 10Q = 310

subtract to get

15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes

Answer:

.632

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632

Step-by-step explanation:

Im just guessing but i think it would be b... if i'm wrong im really sorry

Answer:

Step-by-step explanation:c 15

Answer:

product is 432

Step-by-step explanation:

(-2)(-4)=8

(-6)(-9)=54

(8)(54)=432

Answer: 18.1666666667

Step-by-step explanation:

Answer:

y=|x-1|-1

Step-by-step explanation:

hope that helps :)

Answer: (-3,0) and (0,-2)

Step-by-step explanation:

Answer:

Since the leading coefficient is negative and the exponent is to a degree of 4...

The graph will be down on both ends.

Answer:

Answer: £272.51

Step-by-step explanation:

First, we need to determine how much money Selma needs to have in her account in order to pay the bill and still have £10 left over. The bill is for £465.20, so Selma needs to have £475.20 in her account in order to pay it.

Next, we need to determine how much money Selma needs to pay into her account in order to reach this total. She starts with £202.69 on Monday, so she needs to pay £475.20 - £202.69 = £<<475.20-202.69=272.51>>272.51 into her account on Tuesday. Answer: £272.51

Answer:

I think its 3,600... plz let me know if I'm wrong

Step-by-step explanation:

300,000 x 0.012 or %1.2 (they're the same thing) = 3,600

The graph of the system of linear equations is attached with the answer.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the system of linear equations as given -

- 2x + y = 10

x + 2y = 5

The given system of linear equations is -

- 2x + y = 10

x + 2y = 5

Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.

Therefore, the graph of the system of linear equations is attached with the answer.

To solve more questions on straight lines, visit the link below -

brainly.com/question/28951560

#SPJ1