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Answer: 4

Step-by-step explanation:

There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.

If two parallel lines are intersected by a transversal, then corresponding angles are congruent.

The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.

When a line is cut by a transversal, 4 angles are formed,

2 angles are >=90° while 2 are <=90°

So when we take 2 parallel lines, 4 pairs are formed.

Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,

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Answer:

Average increased by 10

Step-by-step explanation:

Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10

Answer:

It may be a division sign, if not I have no clue.

Step-by-step explanation:

I guess it is therefore. Not so sure.....

Answer:

A = 1 square unit

Step-by-step explanation:

Given:

To find A, substitute the value of s into the equation for A and solve:

[tex]\sf \implies A=16 \cdot \left(\dfrac14\right)^2[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1^2}{4^2}\right)[/tex]

[tex]\sf \implies A=16 \cdot \left(\dfrac{1}{16}\right)[/tex]

[tex]\sf \implies A=\dfrac{16 \cdot 1}{16}[/tex]

[tex]\sf \implies A=\dfrac{16}{16}[/tex]

[tex]\sf \implies A=1[/tex]

Therefore, A = 1 square unit

[tex]\\ \rm\rightarrowtail A=16s^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(1/4)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.25)^2[/tex]

[tex]\\ \rm\rightarrowtail A=16(0.0625)[/tex]

[tex]\\ \rm\rightarrowtail A=1units^2[/tex]

✿————✦————✿————✦————✿

The answer is: 2(k2−4k)(2c+5)

✿————✦————✿————✦————✿

Step:

* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.

* Factor out the common term 2c+5 by using the distributive property.

* Rewrite the complete factored expression.

✿————✦————✿————✦————✿

Answer:

2(k2−4k)(2c+5)

Step-by-step explanation:

Answer:

x = 9 cm

create proportional equation:

[tex]\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}[/tex]

[tex]\sf \dfrac{9}{3x-20} = \dfrac{81}{3x+36}[/tex]

[tex]\sf 9(3x+36) = 81(3x-20)[/tex]

[tex]\sf 27x+324 = 243x-1620[/tex]

[tex]\sf 27x-243x=-1620-324[/tex]

[tex]\sf -216x=-1944[/tex]

[tex]\sf x = 9[/tex]

Answer:

Step-by-step explanation:

Since parallel lines cut the transversals proportionally, we can set the following equation and solve for x;

Answer:

4.0x10^7

Step-by-step explanation:

5.6÷1.4=4

10^(5-(-2))

=10^7

=4.0x10^7

Answer:

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Step-by-step explanation:

Answer:

(2,3) or x=2 and y=3

Step-by-step explanation:

find x...

3x-6y= -12

3x = 6y-12

x = 2y-4

plug x into the other equation

6(2y-4) + 6y = 30

12y-24 +6y = 30

18y = 54

y = 3

Plug y into an equation to find x

3x-6(3) = -12

3x-18= -12

3x=6

x=2

[Answer] y=3 and x=2 or (2,3)

PLEASE RATE!! I hope this helps!!

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The dimensions of the reduced rectangle are 5(length) and 4(width).

The original length of the rectangle= 20

The original width of the rectangle=16

It is the factor by which the size or dimension of an object is dilated.

Reduced length/Original length = 0.25

Reduced length = 0.25 * original length

Reduced length = 0.25 * 20

Reduced length = 5

Reduced width/Original width = 0.25

Reduced width = 0.25 * original width

Reduced width = 0.25 * 16

Reduced width = 4

Therefore, the dimensions of the reduced rectangle are 5(length) and 4(width).

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Answer:

P=67.38

Step-by-step explanation:

All three sides are given. You can use any one of the the three major functions on your calculator to g

Adjacent = PQ = 5

Hypotenuse = PR = 13

Cos(P)  = Adjacent / Hypotenuse

Cos(P) = 5/13

Cos(P) = .3846

Now you need to use the inverse cos to get P

P = cos-1(.3846)

P =67.38

=====================================

Now we'll try the tangent

Tan(P) = opposite / adjacent

Tan(P) = 12/5

Tan(P) =2.4

P = Tan-1(2.4)

P = 67.38

Both functions give the same thing

[tex]\\ \rm\Rrightarrow cosP=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cosP=\dfrac{5}{13}[/tex]

[tex]\\ \rm\Rrightarrow cosP=0.38[/tex]

[tex]\\ \rm\Rrightarrow P=cos^{-1}(0.38)[/tex]

[tex]\\ \rm\Rrightarrow P=67.67°[/tex]

The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.

Vertebrates are those animals that have a spinal cord.

Invertebrates are those who do not have a spinal cord or vertebrae.

The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.

The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.

Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.

Learn more about vertebrates

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Answer:

33.3333333333

Step-by-step explanation:

we see that there are 6 candies in total

we also see that there is a 50% chance that someone will take out 3 candies of the same color,

50/3 = 16.66666666666667

so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333

I hope I could help

Answer:

Answer:divide by 2Step-by-step explanation:16 divide by 2 =8 divide

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

✌

Answer:

Add 12 and 15 to their X value.

Step-by-step explanation:

X = 28, but they could check by adding 12 and 15 to see if it adds to 55.

Answer:

15

+12

=27

55

-27

=28

28 of the marbles are blue

Answer:

137°

Step-by-step explanation:

90+47= 137°

the sum of two interior angles is equally to the further exterior angle.

The three main differences are management style, investment objective and cost — and index funds are the clear winner.

Sure hope this helps you and pls mark me brainiest!

The main difference between index funds and mutual funds is that index funds seek market-average returns whereas mutual funds tries to outperform the market.

"Index funds are investment funds that follow a benchmark index, such as the S&P 500 or the Nasdaq 100."

"A mutual fund is a professionally managed investment fund that pools money from many investors to purchase securities. "

"If a mutual fund is active, then it has high fees than index fees."

"The performance of index fund is predictable whereas the performance of active mutual fund is not predictable."

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Answer: 83 degrees

Step-by-step explanation:

In order to find theta, you must take the arccosine of both sides. The arccosine eliminates the cosine, and extracts the argument. Therefore:

[tex]cos(x)=\frac{2}{16} =\frac{1}{8}[/tex]

[tex]arccos(cos(x))=arccos(\frac{1}{8} )=x[/tex]

Use a calculator the find the arccosine of 1/8. Its nearly impossible to find the exact answer without one:

[tex]x=arccos(\frac{1}{8} )[/tex]

[tex]x=83[/tex]

Explanation:

The first column is nothing but "2"s.

The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.

So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.

The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.

Videos Incorporated Expression:

-> Starting membership fee of $4.99, and then adding onto the overall cost is $0.99 for every movie watched.

4.99 + 0.99x

Videos Plus Expression:

-> There is no membership fee, but adding to the cost is $2.99 per movie.

2.99x

Which inequality represents this situation?

-> You do not have answer options, so this is a guess.

-> It states that "Videos Plus is a better deal than Videos Incorporated" which means Videos Incorporated costs more than Videos Plus

2.99x < 4.99 + 0.99x

since the diameter is 66 cm, then its radius is half that or 33 cm.

[tex]\textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=33\\ \underset{complete~turn}{\theta =2\pi ~\hfill } \end{cases}\implies s=(33)(2\pi )\implies s=66\pi \implies s\approx 207.34~cm[/tex]

Answer:

The choice B

Step-by-step explanation:

[tex]( {10}^{ \frac{1}{3} } )^{3} = {10}^{ \frac{1}{3} \times 3} = {10}^{ \frac{3}{3} } = {10}^{1} = 10[/tex]

Answer: 12,888 in^2 (inches squared)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

y= mx+b

m is slope

b is y-int

Answer: The volume of the cylinder is 125, 600 cm^3

Step-by-step explanation:

Volume = 3.14 x Radius^2 x Height

Volume = 3.14 x 20^2 x 100

Volume = 3.14 x 400 x 100

Volume = 125,600 cm^3

Answer:

926% and I'm pretty sure the other one is 0.7

Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %

Answer: $40000

Step-by-step explanation:

200000(0.2) = $40000