Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate exterior angles with angle 5?

Hello, please consider the following.

PART 2

Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.

We can write the following

[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]

So the sum of squares changes by

[tex]\boxed{ \ 22 \ }[/tex]

PART 4

Let's say that we have n points at the beginning.

We will add n-1 points the first time, we will get n + n  - 1 = 2n -1 points.

And then, the second time we add 2n - 1 - 1 points and we get

2n - 1 +2n - 2 = 4n - 3.

Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7  and it must be 65.

So, 8n -7 = 65 <=> 8n = 65+7=72  <=> n = 72/8=9

[tex]\boxed{= \ 9}[/tex]

Thank you

Answer:

Option B.

Step-by-step explanation:

A relation is called a function if there exist unique value of y for each value of x.

In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.

In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.

In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.

In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.

Therefore, the correct option is B.

Answer: B.{(3,9), (7. - 4), (-7,7)}

Step-by-step explanation: got it right on edge

Answer:

C the table and the equation

Hope this helps :)

Answer:

The answer is a. Jamie has $8, and she pays $2 per day to ride the bus.

Step-by-step explanation:

When looking at the graph, you can see that you start with $8. You lose $2 per day. That is why you are losing money per day.

Answer:

A

Step-by-step explanation:

When you look at the graph you can see the she originally has $8, and then her mone decreases by 2 a day, which is due to bus ride fees.

Answer:

x= 4   and y =-3

Step-by-step explanation:

To find the  pair that is the solution to the system of equations, we will follow the steps below;

y = -1/2 x  - 1 -----------------------------------------------------------------------------------(1)

y = -3x + 9 ---------------------------------------------------------------------------------------(2)

substitute equation (1) in equation (2)

-1/2 x  - 1  = -3x + 9

collect like term

-[tex]\frac{1}{2}X[/tex]  + 3x = 9 + 1

-x+ 6x /2 = 10

5x /2 = 10

multiply  both-side of the equation by 2

5x = 20

Divide both-side of the equation by 5

x = 4

substitute x = 4 into equation (2)

y = -3x + 9

y = -3(4) + 9

y = -12 + 9

y = -3

The solution is

x= 4   and y =-3

Answer:

Exteririor angles mean the angles not in the triangle. So the 2 4 and 3

A, D, C

Answer:

Angles two, three, and four.

Step-by-step explanation:

Exterior angles are the angles that lie outside the triangle: in this case, 1, 5, and 6 are the angles which make up the triangle, meaning 2, 3, and 4 are exterior.

Answer:

48 7/8

I hope this helps.

Answer:

Step-by-step explanation:

48 7/8

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]125^2 \div 125^{4/3}\\[/tex]

[tex]125^{2-4/3}[/tex]

[tex]125^{2/3}[/tex]

[tex]\sqrt[3]{125} ^2[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

Answer:

From what chapter of a book?

Step-by-step explanation:

Answer:

he is making an appeal to someone to do something about something that he knows would be good for everyone

Step-by-step explanation:

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

The matrix representation of the system looks:

| -650   0 |

|   -1  120 |

To clarify, it seems you have provided a system of equations:

y = 650x + 175

y = 25,080 - 120x

Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.

Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.

Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.

Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.

Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.

Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.

for such more question on matrix

https://brainly.com/question/30715889

#SPJ8

Answer:

I deserve brainliest just as all good boys deserves fudgeeeeee

Step-by-step explanation:

v^2 = 25/81

v= the square root of 25/81 = 5/9

since that isn't a choise, don't simplify.

D works too  because negative x negative = positive

CCCCCCC

Answer:

C & D

Step-by-step explanation:

[tex]v^2=\frac{25}{81} \\v=\sqrt{\frac{25}{81}} , -\sqrt{\frac{25}{81}}[/tex]

Answer: 11b^2 + 3b - 1

Step-by-step explanation:

(5b^2 + 3b + 4) + (6b^2 - 5)

5b^2 + 3b + 4 + 6b^2 - 5

11b^2 + 3b -1

Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

Answer:

N>4

Step-by-step explanation:

Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.

Answer:

[tex]A=\frac{x^4y^9+3x^4y^9}{2}4x^2y^5=2x^4y^9(4x^2y^5)=8x^6y^{14}[/tex]

Answer:

The answer is negative four

Step-by-step explanation:

4x+1y=47 can be simplified to 4x+y=47.

To find the slope, we solve for Y.

Subtract 4x from both sides.

y=47-4x

Then, move it into standard slope formula, which is y=mx+b

y=-4x+47

Answer:

C

Step-by-step explanation:

a fraction will almost always be division

Answer:

C

Step-by-Step explanation:

6/17 = 0.35

Answer:

1. 4

2. -4

3. -4

Step-by-step explanation:

Let's look carefully at each problem and explain it.

1. (-2)^2

This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then

(-2)^2 means the product (-2) * (-2),

and since the product of two negative numbers is positive, then

(-2)^2 = (-2) * (-2) = 4

Answer is 4.

2. -2^2

Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as

-(2^2)

-2^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4.

3. -(2)^2

This is the same as problem 2 above. You square the 2 first, then take its negative.

-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4

Answer is -4

Answer:

38

Step-by-step explanation:

Since 88 and the angle inside the triangle right next to it are a linear pair, their measure must add up to 180 degrees. Therefore, that angle's measure must be 180-88=92 degrees. Since all of the interior angles of a triangle must add up to 180 degrees as well, 50+92+x=180, meaning that x=180-92-50=38 degrees. Hope this helps!

Answer: 38°

Step-by-step explanation:

180-88 = 92°

180-92-50= 38°

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

Answer:

4.7 meters

Step-by-step explanation:

Hope this helps!  : )

Answer:

4.7 meter

Step-by-step explanation:

Answer:

Todd's Z-score is - 0.27    

Step-by-step explanation:

Explanation:-

Step(i):-

Given data A test is normally distributed with a mean of 70 and a standard deviation of 10.

Mean of the population 'μ' = 70

Standard deviation of the Population ' σ ' = 10

let 'x' be the random variable in normally distributed

Step(ii):-

Given raw score  'x' = 55

Todd's Z-score

                      [tex]Z = \frac{x-mean}{S.D}[/tex]

                     [tex]Z = \frac{55-70}{55}[/tex]

                     Z = -0.27

Final answer:-

Todd's Z-score is - 0.27                    

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

Answer:

its a scalene triangle

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Because the sum of all angles in a quadrilateral is 360° we have:

90 + 101 + 12x + 3 + 9x - 2 = 360

21x + 192 = 360

21x = 168

x = 8°

Answer:

The value of x is 8.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :

[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]

[tex]192 + 21x = 360[/tex]

[tex]21x = 360 - 192[/tex]

[tex]21x = 168[/tex]

[tex]x = 168 \div 21[/tex]

[tex]x = 8[/tex]

Answer:

D (2, 5)

Step-by-step explanation:

To find the vertex of the quadratic function , we will follow the steps below

(x,y) =  [-b/2a  , f(-b/2a)]

x = -b /2a         y = f(-b/2a)

The standard equation of a quadratic equation is  y =ax² + bx + c

compare the above with the equation given, y = 3x² - 12x + 17

a = 3   b= -12   and c= 17

x = -b/2a

x = -(-12)/2(3)

x = 12/6

x = 2

y = f(-b/2a)

y = f (-b/2a) = f(x) = f (2)

y = f(x) =3x² - 12x + 17

To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;

f(2) = 3(2)² - 12(2) + 17

f(2) =12-24 + 17

f(2) =5

x = 2   and    y  = 5

(x,y)  = (2, 5)