In the figure, m ║ n and p is a transversal. Which of the following are alternate interior angles?

A. ∠1 and ∠7, ∠2 and ∠8

B. ∠2 and ∠8, ∠1 and ∠6

C. ∠3 and ∠5, ∠4 and ∠6

D. ∠3 and ∠7, ∠4 and ∠8​

Answer: yourself

Step-by-step explanation:

because there is nothing more important than you

The equivalent expressions [tex]$\frac{21^x}{7^x}[/tex] is [tex]$3^{x}$$[/tex].

Equivalent expressions exist as expressions that work exactly even though they look different. If two algebraic expressions exist as equivalent, then the two expressions contain the exact value when we plug in the same values for the variables.

Given: [tex]$\frac{21^x}{7^x}[/tex]

Factor [tex]$21^{x} = 7^{x} \cdot 3^{x}$[/tex]

[tex]$=\frac{7^{x} \cdot 3^{x}}{7^{x}}$$[/tex]

Cancel the common factor: [tex]$7^{x}$[/tex]

[tex]$=3^{x}$$[/tex]

Therefore, the correct answer is option B. [tex]$3^{x}$$[/tex].

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Answer:

D. not here

Step-by-step explanation:

because It's equal to 120cm

Answer:

67

Step-by-step explanation:

Total shirts = 53

Have to get = 100

Remaining shirts:

= 100 - 53

= 67

Answer:

x^3-y^3

Step-by-step explanation:

(x-y)(x^2+xy+y^2)
Multiply the terms,
x^3 + x^2y + xy^2-  x^2y - xy^2 - y^3
Simplify the terms,
x^3 - y^3
This is also the formula for difference of two cubes.

Answer:

GCF is the Greatest Common Factor

I this Process you need to find HCF (Highest Common Factor) and Write the Common Number which is Greater among all.

Answer:

The answer is one yard

Step-by-step explanation:

A city planner has plans to build two small parks, shown in the diagram below. Park is a triangle, and the park is a rectangle. Each unit on the coordinate grid represents a yard.

Answer:

show the picture an i will find it out

Step-by-step explanation:

Answer:

21 units

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since it costs $3.75 for every earring, multiply e by 3.75 like this: 3.75e

Add 9.5 on top of that since Dani already bought the necklace for $9.50

3.75e + 9.5

This sum has to be less than or equal to 25 because the budget is $25

3.75e + 9.5 ≤ 25

To find e subtract 9.5 from both sides

3.75e + 9.5 ≤ 25

          - 9.5    - 9.5

3.75e ≤ 15.5

Divide both sides by 3.75

3.75e/3.75 = 15.5/3.75 = 4.133...

You can't buy 0.133 of an earring, so the max amount of earrings she can buy is 4.

Answer:

6

Step-by-step explanation:

Diagonals of a rectangle are congruent

4 + 2x = 6x -20 Add 20 both sides. Subtract  2x both sides

24 = 4x

x = 6

The 50th term in the sequence is 199

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a+ (n - 1)d

where:

The sequence formed by the amount of Whatchamacallits produced as;

3, 7, 11, 15...

a = 3

d = 11-7 = 7-3 = 4

Substitute

Tn = 3 + (n-1) * 4
Tn = 3 + 4n -4

Tn = 4n - 1

Hence the explicit formula that models the production for the nth term of the sequence is Tn = 4n - 1

If n = 50

T50 = 4(50) - 1

T50 = 199

Hence the 50th term in the sequence is 199

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Answer:

[tex]24w^3 - 6 + 36y^2[/tex]

Step-by-step explanation:

[tex]-6(-4w^3+1-6y^2)\\\\-6(-4w^3) + -6(1) + -6(-6y^2)\\\\24w^3+-6+36y^2\\\\24w^3-6+36y^2[/tex]

Hope this helps!

24w^3 - 6 +36y^2 is it

Step-by-step explanation:

Expand by distributing terms.

-(-24{w}^{3}+6-36{y}^{2})

−(−24w

3

+6−36y

2

)

2 Remove parentheses.

24{w}^{3}-6+36{y}^{2}

24w

3

−6+36y

2

Answer:

A. 20 ft

Step-by-step explanation:

The volume of a right solid such as a rectangular shipping crate is found by multiplying the area of its base by its height. The area of this shipping crate is its length multiplied by its width = 2.5 x 2 = 5 feet. Now, we multiply the area of the base (5) by the height (4) to get 20 feet.

Answer:

  54 cm²

Step-by-step explanation:

The net of the 3 cm cube has 6 squares, each of which is 3 cm on a side. The area of each is (3 cm)² = 9 cm², so the total area is ...

  6×9 cm² = 54 cm²

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

---

Topic: Algebra I

Answer:

[tex]FIRST\ BLANK:\ 22[/tex]

[tex]SECOND\ BLANK:\ 20[/tex]

[tex]THIRD\ BLANK:\ 18[/tex]

I hope this helps you

:)

Answer:

1. 22

2. 20

3. 18

Step-by-step explanation:

1. 2(13-p) = 2(13-2) = 26-4 = 22

2. 2(13-p) = 2(13-3) = 26-6 = 20

3. 2(13-p) = 2(13-4) = 26-8 = 18

Answer:

adult tickets: 180

child tickets: 160

Step-by-step explanation:

adult tickets =x

child tickets =y

1. create a function

x+y=340

16x + 12y = 4800

2. solve

3. x = 180, y = 160 which also means 180 adult tickets were sold and 160 child tickets were sold

Answer:

click the image

Step-by-step explanation:

hope it's helpful

Answer:

Nine

Step-by-step explanation:

Given the following question:

12/12 = 12 parts or 1 whole unit
1/12 = 1 part of that unit
9/12 = 9 parts of that unit

If 12 parts are needed to create one whole unit or 12/12, that means they're 9, 1/12 parts in the fraction 9/12.

Your answer is "nine."

Hope this helps.

The shape of the can is cylindrical, by employing the formula for lateral surface area and plugin in our data the answer was gotten as

14.2 square inches

Given Data

Radius of can = 5 inches

Height of can = 10 inches

We know that the expression for the lateral surface area of a cylinder is given as

Lateral Surface area = 2πrh

Substitute our given Data

Lateral Surface area = 2*3.142*5*10

Lateral Surface area = 314.2 square inches

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Answer:

a. always, remain

b. always, remain

c. never, not remain, not remain

d. always, an equal distance, all

e. never, would not, all

Step-by-step explanation:

They are all correct, hope this helps -w-

Answer:

Two lines are perpendicular if the product of their slopes equals -1.

In general form, this means that you reverse the coefficients of x and y and negate one of the two.

So the general form of this perpendicular line becomes: 12x + 3y + C = 0, or simplified: 4x + y + C’ = 0.

Now fill in the desired point to find C’: 4*(-2)+5+C’=0 so C’= 3.

The general form of the line becomes 4x + y + 3 = 0

Using conditional probability, it is found that P(X⏐Y) = 0.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, we have that X and Y are mutually exclusive events, hence [tex]P(X \cap Y) = 0[/tex], hence:

[tex]P(X|Y) = \frac{P(X \cap Y)}{P(Y)} = \frac{0}{0.32} = 0[/tex]

More can be learned about conditional probability at https://brainly.com/question/14398287

Answer:

is four hundred forty-four thousand four hundred four

Step-by-step explanation:

you need to know  the first 4 in 444,404 is in the hundred thousands. then forty thousand, then thousands, then hundreds and lastly four.   ;-;7

Answer:

[tex]4.8038[/tex] or just [tex]4[/tex] quarts.

Hope this helps!

Answer:

its b bc im smart

Step-by-step explanation:

Answer:

The actual correct answer to this is A

Step-by-step explanation:

Direction: Opens Up

Vertex:

(1,−2)

Focus:

(1,−7/4)

Axis of Symmetry:

x=1

Directrix:

y=−9/4

Hope this helps mark brainliest please :)

The estimated annual water cost for the Perricone family= $1,132,305

The family meter reading for last month = 3,970 Tgal

The family meter reading for next month= 3,973 Tgal

The rate charged by the supplier = $23.75 per Tgal.

There is increase in the meter reading per month by 3Tgal.

To calculate for the monthly cost = 23.75 × 3,970

= $94287.5

Therefore annually= $94287.5 × 12 = $1,131,450

The cost for each monthly increase = 23.75 × 3= $71.25

Therefore annual monthly increase= 71.25× 12= $855

Therefore, the estimated annual water cost for the Perricone family= $1,131,450 + $855

= $1,132,305

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Answer:

x = 21.8

Step-by-step explanation:

x = 42.3 - 22.5

Ok if I directly write the equation it will become difficult to understand , so I am dividing into small parts. :)

[tex] \\ \\ [/tex]

Let :-

number be x.

[tex] \\ [/tex]

Statement :-

21 is subtracted from the square of a number.

x² ← square of number

Equation :-

x² - 21

[tex] \\ \\ [/tex]

Statement :- the result is 4 times the number.

4 times a number means 4 × x = 4x.

Equation :-

x² - 21 = 4x

[tex] \\ \\ [/tex]

So we got our equation i.e x² - 21 = 4x , now we can finally find negetive value of x.

→x² - 21 = 4x

→x² -21 - 4x = 0

→x² - 4x - 21 = 0

→x² + 3x - 7x - 21 = 0

→x(x + 3) - 7x - 21 = 0

→x(x+3) - 7(x + 3) = 0

→(x - 7) (x + 3) = 0

Comparing:-

[tex] \\ [/tex]

Required answer :-

[tex]\boxed{\pmb{\sf -3}}[/tex]