which segments in the picture are parallel ad and ab, be and gh, bc and hf, hf and de

[tex]\huge\bold\green{Answer:-}[/tex]

Greatest common factor (GCF) of 10 and 40 is 10.

GCF(10,40) = 10

[tex]\huge\bold\red{Explanation:-}[/tex]

We will now calculate the prime factors of 10 and 40, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10 and 40.

Prime Factorization of 10

Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:

10 = 2¹ × 5¹

Prime Factorization of 40

Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:

40 = 2³× 5¹

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1, 2, 5

Factors of 40

List of positive integer factors of 40 that divides 10 without a remainder.

1, 2, 4, 5, 8, 10, 20

Greatest Common Factor

We found the factors and prime factorization of 10 and 40. The biggest common factor number is the GCF number.

So the greatest common factor 10 and 40 is 10.

The Greatest Common Factor of 10 and 40 is 5.

The greatest common factor is the largest number that is a factor of two or more numbers (GCF). The greatest number (factor) divides them, yielding a Natural number. Once all of the number's variables have been identified, there are a handful that are shared by both. The greatest common factor is the largest number found among the common factors. The GCF is often referred to as the Highest Common Factor (HCF)

For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

Given:

We have to find the greatest common factor of 10 and 40.

So factorizing each number

10 = 2 x 5

40 = 2 x 2 x 2 x 5

Here the common factor of 10 and 40 is

= 2 x 5

= 10

Thus, the Greatest Common Factor is 10.

Learn more about Greatest Common Factor here:

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#SPJ2

Step-by-step explanation:

please check the attached picture..and rotate it

Answer Infinitely many

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex]\sqrt[3]{216}[/tex] = 6

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account = [tex] \frac{1285.12 + 961.36 + 1132.63}{3} [/tex]

Average balance of account = [tex] \frac{3,379.11}{3} [/tex]

Average balance of account = [tex] 1,126.37 [/tex]

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account =  

Average balance of account =  

Average balance of account =

Answer:

Neither ordered pair is a solution.

Step-by-step explanation:

If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.

Now let us try it;

Substitute (3,-8)

3(3)-(-8)/4 = 9 +8/4 =17/4

Again;

3(4) - 4/4 = 8/4 =2

Hence, none of the ordered pairs is a solution.

Answer:

Step-by-step explanation:

2 3/4 /7/8

11/4*8/7

88/28

The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.

In terms of geometry, a reflection should be known as the flip, It should be considered as the mirror image of the shape. The image should reflect via the line that we called as the reflection line.

When it should be at reflection so each and every point in the figure should be equidistant with respect to the another figure.

hence, The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.

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9514 1404 393

Answer:

  54w^7/v^17

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

  a^0 = 1 . . . . for any a ≠ 0

__

  [tex]3y^5y^{-5}v^{-9}\cdot6wv^{-8}\cdot3w^6=(3\cdot6\cdot3)v^{-9-8}w^{1+6}y^{5-5}\\\\=54v^{-17}w^7y^0=\boxed{\dfrac{54w^7}{v^{17}}}[/tex]

Answer:

x=75

Step-by-step explanation:

2/5x=26+4

2/5x=30

2x=30*5

2x=150

x=150/2

x=75

Answer: x=75

Step-by-step explanation:

Answer:

0.166667

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

33/11=3

so its 1/3 of it

Answer:

1/3

Step-by-step explanation:

If you divide one of the sides in figure A by 3, then you will get the corresponding side for figure B.

So if I divide the uppermost side, which is 33units by 3, I will get the uppermost side in figure B, which is 11units.

Since dividing b 3 is like multiplying by 1/3 then the scale factor is 1/3

Answer:

100 percent written as a decimal would just be 1

Step-by-step explanation:

For example, 50% is 0.50 in decimal form that would make 100% well, 1.0

Hope this helps and have a great day!

You got this :)

Answer:

324 calories

Step-by-step explanation:

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

The unit rate for calories per cup = calories per cup

3/4 cup serving = 81 calories

3 cups of cereal = x calories

We Cross Multiply

3/4 × x = 81 × 3

x = (81 × 3) ÷ 3/4

x = 243 × 4/3

x = 324 calories per cup

There are 324 calories in 3 cups of cereal

Answer:

2 killograms

Step-by-step explanation:

hope this helps :)

Answer:

2 2 2 it is 2

Step-by-step explanation:

Answer:

8 yards

Step-by-step explanation:

4 - 6 = -2

-2 + 10 = 8

Answer:

-y=-x+-8

Step-by-step explanation:

Answer:

y = x + 8

Step-by-step explanation:

Slope-intercept form looks like y = mx + b.

We have X−y=−8 and need to solve this for y:

Change all signs, obtaining -x + y = 8

Add x to both sides, obtaining  y = x + 8

Answer:

b=24

Step-by-step explanation:

Answer:

The correct answer is 1,026 c^4 de^3.

Step-by-step explanation:

Answer:B

Step-by-step explanation: edge 2020

Answer:

45,600,000

Step-by-step explanation:

10 to the 5th power is 100,000 times 456 which is 45,600,000

Correct me if I am wrong

Hope this helps!

Answer:

73

Step-by-step explanation:

Answer:

first question is B

second F

third C

fourth pretty sure its C

last C

Step-by-step explanation:

Answer:

Rotate it 90°

Step-by-step explanation:

First graph D(-3, -10)

And a rotation of 90° clockwise is when you move the shape to the left 90°.

And that’s it

Answer:

I have a set of rules that should help you:

When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)

IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer  -10, 3

-Hope this helps

Step-by-step explanation:

Answer:

the solutions are {1, -3/2}

Step-by-step explanation:

The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.

We are told that -3/2 is a solution and must find the other solution   To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:

-3/2     /     2       1        -3

                         -3        3

           -------------------------

                 2      -2        0

Since the remainder is 0, we have verified that -3/2 is a solution.  The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1).  Setting this result equal to zero yields x = 1.  

Thus the solutions are {1, -3/2}.

Answer:

1

Step-by-step explanation:

Took the Test edge 2021

Answer:

Jason's job pays a higher hourly rate than Mia's lifeguard job.

Step-by-step explanation:

It tells that Jason gets paid $9/hour

now divide each amount Mia makes by the number of hours each day and you get the same amount of $8.75/hour.

Answer:

It should be A

Step-by-step explanation:

If you need an explanation lmk