Which angles are pairs of alternate exterior angles? Check all that apply.

4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.

A: Angle5 and Angle11
B: Angle7 and Angle12
C: Angle11 and Angle16
D: Angle2 and Angle14
E: Angle4 and Angle6
F: Angle8 and Angle10

Answer:

5

Step-by-step explanation:

3x = 2x + 5

3x - 2x = 2x - 2x +5

1x = 5

x = 5

That number is 5

By letting the unknown number be x, we solve the equation 3x = 2x + 5 and find that x equals 5.

Let's denote the unknown number as x. According to the problem, triple a number is the same as double the number increased by five. This can be expressed using the equation:

⇒ 3x = 2x + 5

To isolate x, we can subtract 2x from both sides of the equation:

⇒ 3x - 2x = 2x + 5 - 2x

Which simplifies to:

⇒ x = 5

This means the unknown number is 5. Triple of 5 is 15, and double of 5 plus 5, which is also 15, confirming that the solution is correct.

Therefore, the number that triples to become the same as double the number increased by five is 5.

Answer:

1. 425,328 -> 425,330

2. 105,025 -> 105,030

3. 45,527 -> 45,530

4. 35,478 -> 35,480

5. 212,369 -> 212,370

Step-by-step explanation:

000,000 the underlined number is the tens place. In order for the tens place to round up the ones place must be 5 or above. If the ones place is lower than 5 you round down to the nearest tens.

In Example:

333,389 you would round up to 333,390 because of the 9 in the ones place.

Now, 333,333 you would round down to 333,330 because of the 3 in the ones place

Answer:36.25%

Step-by-step explanation: 29 divided by 80 = .3625

Then convert to a percentage by moving the decimal two spaces to the right =36.25

Answer:

36.25 %

Step-by-step explanation:

Is means equals and of means multiply

Let P be the percent

29 = P * 80

Divide each side by 90

29/80 = P 80/80

.3625 = P

Changing from decimal form to percent form

36.35% = P

Answer:

Step-by-step explanation:

8.2 + 3 = 100

11.2 - 100

= - 88.8

Answer:

I think it's 92.6571429

Step-by-step explanation:

did the math

Answer:

70    25 centavo pieces

60    5 centavo pieces

Step-by-step explanation:

Let x = number of 25 centavo pieces

y = number of centavo pieces

The total number of pieces is 130

x+y = 130

The total amount is 20.50

.25x+.05y =20.50

Solve for y

x+y = 130

y = 130-x

Substitute into

.25x+.05y =20.50

.25x +.05(130-x) = 20.50

Distribute

.25x +6.5-.05x = 20.50

Combine like terms

.2x +6.5 = 20.50

Subtract 6.5 from each side

.2x +6.5-6.5 = 20.5-6.5

.2x =14

Divide each side by .2

.2x/.2 = 14/.2

x = 70

Now we can solve for y

y = 130-x

y = 130-70

y = 60

Answer:

25-centavo: 70 coins

5-centavo: 60 coins

Step-by-step explanation:

x + y = 130

25x + 5y = 2050

5x + y = 410

y = 410 - 5x

x + 410 - 5x = 130

4x = 280

x = 70

y = 410 - 5(70) = 60

Answer:

51 feet

Step-by-step explanation:

Since it's an isosceles triangle, the only side that would be unequal to the other two would be the base, so the base would be the side of 60 feet. Subtract that 60 feet from the given perimeter to get 102. Divide that number by two to get 51 feet as the lengths of the other two sides.

Answer:

Each of the other two sides are 51 feet.

Step-by-step explanation:

Take the perimeter, 162, minus one side, 60.

162 - 60 = 102

Divide 102 by 2 to find the length of each of the other two sides

102/2 = 51 feet

Answer:

he needs to catch up by 5 pages

Step-by-step explanation:

Answer:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Step-by-step explanation:

Answer:

Its

C my dude

Step-by-step explanation:

.

Answer:

12000

Step-by-step explanation:

Jenkins had x dollars

He left 1/2 of that to his grandkids

He has x-1/2x = 1/x

He leaves 1/2 of that to his kids

1/2*1/2 x = 1/4x to his kids

His wife gets 1/6x

The rest is 1000

The total is

grand kids + kids + wife + 1000

1/2 x + 1/4x + 1/6x + 1000

He started with x

1/2 x + 1/4x + 1/6x + 1000  =x

Multiply each side by 12 to get rid of the fractions

12(1/2 x + 1/4x + 1/6x + 1000)  =x*12

6x+3x +2x +12000= 12x

Combine like terms

11x +12000 = 12x

Subtract 11x from each side

11x-11x +12000 = 12x-11x

12000=x

Since he started with x, he left 12000 dollars

Answer:

$12,000

Step-by-step explanation:

Let total be X

X - ½X = remaining after giving to grand kids

½(X/2) = ¼X remaining after giving to children

¼X - ⅙X = (3X - 2X)/12 = X/12 after giving to wife

X/12 = 1000

X = 12,000

Answer:

  No

Step-by-step explanation:

You want to know if (x, y) = (3, -3) is a solution to y ≤ -5x +3y.

Put the value where the variables are and see if the statement is true:

  -3 ≤ -5(3) +3(-3)

  -3 ≤ -15 -9

  -3 ≤ -24 . . . . . . False. Therefore, (3, -3) is NOT a solution.

__

Additional comment

We can rearrange the inequality to make comparison easier:

  5x ≤ 2y . . . . . . . add 5x-y to both sides

Since x is positive and y is negative, this cannot possibly be true.

Answer:

I think its 3.0

Step-by-step explanation:

Answer:

(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2

The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 42 x 51

Simplify the expression, then we have

⇒ 42 x 51

⇒ (40 + 2) x (50 + 1)

⇒ 40 x 50 + 40 x 1 + 50 x 2 + 2 x 1

⇒ 2,000 + 40 + 100 + 2

⇒ 2,142

The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.

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Answer:

(-8,0) is the answer

Step-by-step explanation:

x,y = (-8,0)

or  

x/y = -8/0

We use x,y = 8,0 if the relationship if it was between L and K

The question states '' between point K and point L'' so it becomes -8,0 for x,y relationship.

Have attached trigonometry word doc for some guidance with picture memory trigonometry non related for someone to print out.

Hope the above helped.

Answer:

One solution: (6,1)

Step-by-step explanation:

2 x- 4 y = 8

x - 2y = 4

x = 4 + 2y

x + y = 7

4 + 2y + y = 7

3y = 3

y = 1

x = 4 + 2(1)

x = 6

One solution: (6,1)

Answer:

2 x- 4 y = 8

x + y = 7

y= 7-x-----------(1)

2 x- 4 y = 8

on substitution

=>2x -4(7-x)= 8

=>2x -28+4x = 8

=>6x= 36

=>x= 6

From (1)

y= 7-6= 1

Therefore, the system have 1 solution

(6,1)

Answer:

1.8

Step-by-step explanation:

ADC is a right angled triangle. So is ADB.

For right angled triangle ADC,

[tex] {ad}^{2} + {dc}^{2} = {ac}^{2} \\ {x}^{2} + {3}^{2} = {4}^{2} \\ {x}^{2} + 9 = 16 \\ {x}^{2} = 16 - 9 = 7 \\ x = \sqrt{7} [/tex]

For right angled triangle ADB,

[tex] {ad}^{2} + {db}^{2} = {ab}^{2} \\ 7 + {y}^{2} = {3.2}^{2} \\ 7 + {y}^{2} = 10.24 \\ {y}^{2} = 10.24 - 7 \\ {y}^{2} = 3.24 \\ y = \sqrt{3.24} \\ y = 1.8[/tex]

Answer:

c = 12.5

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem (a^2 + b^2 = c^2)

lets say 10 = a and 7.5 = b (this is because they are the legs of the triangle and variables a and b represent the legs of the triangle)

plug into the Pythagorean theorem.

10^2 + 7.5^2 = c^2

simplify (here you just square 10 and 7.5)

100 + 56.25 = c^2

simplify

156.25 = c^2

simplify

(here you get the square root of 156.25 and c^2, the positive square root of 156.25 is 12.5 and the square root of c^2 is c)

12.5 = c

Answer: 12.5

Step-by-step explanation: the pythagorean theorem is used to solve this equation theorem is (a x a) + (b x b) = (c x c) this is also called squaring

first substitute them in : (10 x 10) + (7.5 x 7.5) = (c x c)

then multiply 10 x 10 = 100 and 7.5 x 7.5 = 56.25 then substitute again

100 + 56.25 = (c x c) then add

156.25 = (c x c) then calculate the square root of 156.25 which is 12.5

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Answer: 8 5/8 turns

Step-by-step explanation:

Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).

Mathematically speaking:

5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)

In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.

Seven less than a number is the same as [ n - 7 ]

Is at most twenty-three [ = 23 ]

Put the expression together:

n - 7 = 23

Solve for n if needed:

n - 7 = 23

~Add 7 to both sides

n - 7 + 7 = 23 + 7

~Simplify

n = 30

Best of Luck!

Final answer:

The student's question is about solving an inequality in mathematics. The inequality '7 less than a number is at most 23' is written as x - 7 ≤ 23 and solved to find that x can be any number up to and including 30.

Explanation:

The student is dealing with an inequality problem in mathematics. The phrase '7 less than a number is at most 23' translates to the inequality x - 7 ≤ 23, where x represents the unknown number. To solve for x, you would perform the following steps:

Add 7 to both sides of the inequality to isolate x on one side: x - 7 + 7 ≤ 23 + 7, which simplifies to x ≤ 30.

Therefore, the number x can be any number up to 30, including 30 itself, to satisfy the inequality.

This inequality demonstrates an important concept in mathematics: understanding and solving equations and inequalities.

One unbiased suggestion is to create an online survey with a variety of activity options and allow students to anonymously vote for their preferences.

To ensure an unbiased approach in determining the activities for the end-of-the-school-year event, the student council can implement an online survey. This method allows all eighth-grade students to participate anonymously, eliminating potential biases based on social dynamics or peer pressure.

The survey should include a range of activity options, including both indoor and outdoor activities, sports, games, arts and crafts, and any other activities that may appeal to a diverse group of students. Additionally, students should have the option to suggest their own activity ideas to ensure that all interests are represented.

To further promote fairness, the survey should be distributed widely to all eighth-grade students through school email, online platforms, or even paper flyers if necessary. The survey should clearly state the purpose of gathering feedback and reassure students that their responses will be kept confidential.

After collecting responses, the student council can analyze the data to identify the most popular activity choices among students. This data-driven approach ensures that the end-of-the-school-year event reflects the interests and preferences of the majority of eighth-grade students, promoting inclusivity and fairness.

Overall, implementing an online survey provides an unbiased and transparent method for gathering feedback and making decisions about the event, ultimately enhancing the experience for all students involved.

Answer:

I don;t know what the question is but I know that z is an imaginary number.

Step-by-step explanation:

z=-302+19.3i

that means that it doesn't represent an actual number but is imaginary.

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.

Answer: A. x- 8x= 70

Step-by-step explanation: if x equals 10 then subsitute x for 10 in the equation this gets you 8(10) - 10 = 80

and 80 - 10 = 70 so

8(10) = 80

so 80 - 10 = 70

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Answer: 2

[tex]3x^3y+5x^2+y+9[/tex]

Answer:

x = 1; y = -4

Step-by-step explanation:

y = -7x + 3

y = -x - 3

since y = y then -7x + 3 = -x - 3

-7x + 3 = -x - 3

- 7x + 6 = -x   (Because we add 3 to both sides)

x = 7x - 6 (Multiply both sides by -1)

-6x = -6 (Subtract 7x from each side)

x = 1

Answer:

7/3

Step-by-step explanation:

-3=-7x+3y

y=7/3+3y

7/3x-1

3x+3/7

=7/3

Answer:

it is a rectangle, rhombus, and a square

Step-by-step explanation:

when you graph it out, they all have equal sides and they have congruent angles

Answer:

B)3 = 5x2 – 10x

D)8 = 5(x2 – 2x + 1)

G)  = (x – 1)2

Step-by-step explanation:

Given quadratic : 3 - 4x = 5x2 - 14x

We need to apply completing the square to solve the equation.

First step is to get rid 4x from left side.

We can add 4x on right side to get rid from left side.

3 = 5x^2-14x+4x

On simplifying this step, we get

3 = 5x^2-10x

Now, we need to factor out 5 from right side to get the coefficient of x^2 as 1.

We get,

3 = 5(x^2-2x)

Now, coefficient of x is -2. So, we need to add half of the square of -2.

-2/2 = -1.

And square of -1 is 1.

Therefore, adding 1 inside parenthesis and 5×1 = 5 on left side, we get

3+5 = 5(x^2 -2x+1)

8 = 5(x^2 -2x+1)

Let us find the perfect square of (x^2 -2x+1).

(x^2 -2x+1) = (x-1)^2

Therefore, we get

8 = 5(x-1)^2.

So, the above highlighted are steps in the process of completing the square.

Answer:

2nd 4th and 7th on edg

Step-by-step explanation:

To solve this problem, we can set up a system of equations and use elimination to find the values of x and y. After solving, we find that 40 pounds of chocolate are used to make the 30-pound mixture.

To solve this problem, we can set up a system of equations. Let's call the amount of chocolate used x pounds and the amount of nuts used y pounds. We know that the total amount of candy is 30 pounds, so we can write the equation x + y = 30. We also know that the cost per pound of chocolate is $4 and the cost per pound of nuts is $2.50, and the cost per pound of the candy is $3.50, so we can write the equation 4x + 2.50y = 3.50(30).

To solve this system of equations, we can use substitution or elimination. Let's use elimination. Multiply the first equation by 2.50 to match the coefficients of y. We get 2.50x + 2.50y = 75. Subtract this equation from the second equation: (4x + 2.50y) - (2.50x + 2.50y) = (3.50(30)) - 75. Simplify the equation to get 1.5x = 60. Divide both sides by 1.5 to find that x = 40. Now substitute this value of x into the first equation to find y. 40 + y = 30, so y = -10.

Since we can't have a negative amount of nuts, we know that our solution for y is extraneous. Therefore, 40 pounds of chocolate are used to make the 30-pound mixture.

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Answer:

b= -3

Step-by-step explanation:

To solve, we must isolate the variable, b

-9b=27

Divide both sides by -9 to "reverse" the multiplication being done to b

b= -3

Answer:

GDE=47°

DGE=90°

so DEG=180°-137°=25°

Answer:

43°

Step-by-step explanation:

Every triangle adds up to 180.

Since it is a rhombus, the central angle is 90.

180 - 90 = 90

90 - 47 = 43

Answer:

5.28835

Step-by-step explanation: