A line segment with endpoints P(1, 2) and Q(4, 3) is reflected across the line y = x. What are the new coordinates of the endpoints of the line segment?

Answer:

[tex]\frac{-1}{6}[/tex]

Step-by-step explanation:

[tex]-\frac{5}{12} + \frac{3}{12} = -\frac{2}{12}[/tex]

[tex]-\frac{2}{12} = -\frac{1}{6}[/tex]

which can also be written as:

[tex]\frac{-1}{6}[/tex]

The set of statements about the angles are: angle 1 is congruent to angle 4 is congruent to angle 5 is congruent to angle 8 and angles 2 is congruent to angle 3 is congruent to angle 6 is congruent to angle 7

A pair of parallel lines cut through by a transversal would form set of congruent angles

The parallel lines are given as:

Lines p and line q

From the complete question (see attachment for image), we have the following congruent angles:

Hence, the set of statements about the angles are: angle 1 is congruent to angle 4 is congruent to angle 5 is congruent to angle 8 and angles 2 is congruent to angle 3 is congruent to angle 6 is congruent to angle 7

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Answer:

It´s D. I hope I answered the correst question

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

12 ÷ 0 is undefined

Answer:

the answer is C

Step-by-step explanation:

hope this helps

Answer:

The answer is: (x , y) = (19/10 , 1/5)

Step-by-step explanation:

Solve the equation for y-

y = 4 - 2x

4x - 3y = 7

Substitute the given value of y into the equation-

4 x - 3 ( 4 - 2x ) = 7

Solve the equation for x-

x = 19/10

Substitute the given value of x into the equation y = 4 - 2x-

y= 4 - 2 * 19/10

Solve the equation for y-

y = 1/5

The possible solution of the system is the ordered pair ( x , y )-

( x , y ) = ( 19/10 , 1/5)

Check if the given ordered pair is the solution of the system of equations-

{2 * 19/10 + 1/5 =4

4 * 19/10 - 3*1/5 =7}

Simplify the equalities-

4 = 4

7 = 7

Since all equalities are proven true the ordered pair is the solution of the system-

( x , y) = (19/10, 1/5)

FINALLY haha the solution is: ( x , y ) = (19/10 , 1/5)

Hope this helps you!! :) <333

The rate of flow in cups per year is  3645 cups per year.

To convert the rate of flow from quarts per day to cups per year, we first need to convert quarts to cups and days to years.

1 quart is equal to 4 cups,

So 5 quarts is equal to 5 x 4 = 20 cups.

1 year is equal to 365 days, so

2 days is equal to 2/365 = 1/182.5 years.

So the rate of flow in cups per year is 20 cups / (1/182.5 years) = 3645 cups per year.

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Answer:

113.18

Step-by-step explanation:

[tex]\sqrt{113^{2}+32x^{2}[/tex]

SF=113.18

The direct distance between Jalen and the entrance is 144.6 feet.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Place everything on an xy grid with the Entrance at (0,0).

Then the Ferris Wheel is at (95,156) and the Swings are at (-23,124).

Cody is halfway between them,

so he is at

(95-((95-(-23)/2)),156-(156-124/2) or (36,140).

The distance from Cody to the entrance, using Pythagoras, is square root of

(362+1402)

=144.6 feet

Therefore , the direct distance between Jalen and the entrance is 144.6 feet.

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Answer: 4.3

Step-by-step explanation:

Answer:

quotient is 4 remander 3 continues

Step-by-step explanation:

Answer:

y=41  73=x

Step-by-step explanation:

180=x+9+98

minus 98 from both sides

82=x+9

minus 9 from both sides

73=x

2y=x+9 because they are corresponding angles

2y=73+9

2y=82

divide by 2 on both sides

y=41

Answer:

1/10

Step-by-step explanation:

A dime is 1/10 fraction of a dollar.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.

We have to convert a dime into a fraction of a dollar.

Number of dimes in a dollar = 10

10 dimes = 1 dollar

1 dime = 1/10 dollar

So we can say that one dime is 1/10 of a dollar.

Hence 1/10 fraction of a dollar is 1 dime.

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Answer:

Yes

Step-by-step explanation:

Each value only maps out to one value, so that means it is a function.

Answer:

YES

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , sin²x + cos²x = 1, secx = [tex]\frac{1}{cosx}[/tex]

Consider left side

tanAsinA + cosA

= [tex]\frac{sinA}{cosA}[/tex] × sinA + cosA

= [tex]\frac{sin^2A}{cosA}[/tex] + cosA

[tex]\frac{sin^2A+cos^2A}{cosA}[/tex]

= [tex]\frac{1}{cosA}[/tex]

= secA = right side , thus proven

Answer:

95

Step-by-step explanation:

Let 2x be how many red/green marbles there are,

let 5x be how many blue marbles there are, and

let 7x be how many white marbles there are.

2x + 2x + 5x + 7x = 304

16x = 304

x = 19

As 5x is defined as how many blue marbles there are, we could just plug x for 19:

5*19 = 95

I hope this helped, and if it did please consider giving me brainliest :)

Answer:

95

Step-by-step explanation:

Let r, g, b, w be the number of red, green, blue, and white marbles, respectively. Since r : g : b : w = 2 : 2 : 5 : 7, there is some value of x for which r = 2 x, g = 2x, b = 5x, and w = 7x. Then, we have

                                      304 = r + g + b + w

                                      = (2x) + (2x) + (5x) + (7x)  

                                                              = 16x

Dividing both sides of 16x = 304 by 16 gives x=19. This gives us r = 38, g = 38, b = 95, w = 133, so I have 95 blue marbles.

Answer:

Step-by-step explanation:

Answer:1.all real numbers

2.x=0

3.no solution

Step-by-step explanation:

Answer: b=9

Step-by-step explanation:

Answer:

its 6 i thinknidk

Step-by-step explanation:

ueueueyryurgrhr

Answer:

B, x = 2

Step-by-step explanation:

I'll explain in a seconda

Answer:

They are not similar.

Step-by-step explanation:

They aren't the same shape. If they were the answer would be 49, but that doesn't make sense.

2(x + 4) - 3(x -5) = 2x + 8 - 3x + 15 = 23 - x

Answer:

The Answer is B

Step-by-step explanation:

In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]

Answer:

5x-y=-9

Step-by-step explanation:

Answer:

7.4r+0.3s+12q

Step-by-step explanation:

I am in 8th grade and we do these problems for honors algebra and if you add (8.5q+1.6r)+(3.5q-4.1s)+(4.4s+5.8r) you will get the answer above

Answer:

Step-by-step explanation:

Answer:

p = 9.11

Step-by-step explanation:

10.2p + 2.5 = 95.5

10.2p = 93

p = 93/10.2 = 9.11

Answer:

Yes

Step-by-step explanation:

Because these sides fit right in pythagoras theorem

24²+7²=25²

Answer:

A

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10        Multiply each side by 6

43 + m = 10 * 6

43 + m = 60          Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!