Given that ∠2 ≅ ∠6.

Which theorem proves that line d is parallel to line e.
Alternate interior angle theorem


Converse of the alternate interior angle theorem


Alternate Exterior angle theorem


Converse of the alternate exterior angle theorem

Given That 2 6.Which Theorem Proves That Line D Is Parallel To Line E.Alternate Interior Angle TheoremConverse

Answers

Answer 1

Answer:

Converse of the alternate exterior angle theorem

Step-by-step explanation:

just took the test ;)

Answer 2

The theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem

When a transversal cuts across two parallel lines, there are special angles formed having relationship with each other.

For two lines to be parallel, such relationship must exist. That is what a converse theorem seeks to prove.

We are told that <2 is congruent to <6.

Both angles are exterior angles that also lie opposite each other along the transversal. That makes them alternate exterior angles.

<2 will be congruent to <6 if lines d and le are parallel to each other.

Therefore, the theorem that proves that lines d and e are parallel to each other, given that <2 is congruent to <6 is: D. Converse of the alternate exterior angle theorem

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Related Questions

On a 30-question test, Janice answered four-fifths of the questions correctly. Which of the following is the number of questions she answered correctly?
(1) 24
(2) 25
(3) 26
(4) 28

Answers

Hi!

Your answer should be: (4) 28.

Hope this helps!

Yours truly,

~~~PicklePoppers~~~

Name 21 and 22 another way.

Answers

Answer:

B

Step-by-step explanation:

Bryan has $15 to spend on taxi fare. The
ride costs $5 plus $2.50 per mile. How
many mile can Bryan go without spending
all $15?

Answers

Answer:

3 full miles; anything less than 4 miles

Step-by-step explanation:

5 + 2.50x = 15

subtract 5 from both sides

2.50x = 10

divide both sides by 2.50

x = 4

4 miles is how long he can travel by spending all $15

Anything less will cost him less than $15

Answer:

4 miles

Step-by-step explanation:

well we have a budget of 15$. We use 5$ for the ride so we have 10$ left. 10/2.5 is 4.

At a baking competition, 0.5 dishes were cooked by Room 102, 3/10 were cooked by Room 104, and 1/5 were cooked by Room 106. What fraction of the dishes were cooked by Rooms 102 and 104? Express your answer in the simplest form.​

Answers

1/2 (room 2) + 3/10 (room 4) = 8/10

Simplifying the fraction: 4/5

Answer would be 4/5 of the dishes were cooked by rooms 102 and 104

Hope it helps! Good luck!

Mark me as brainliest pls!

The fraction of the dishes were cooked by Rooms 102 and 104 is 4/5

Addition of fraction

Dishes cooked by Room 102 = 0.5 = 1/2

Dishes cooked by Room 104 = 3/10

Dishes cooked by Room 106 = 1/5

Fraction of the dishes were cooked by Rooms 102 and 104 = 1/2 + 3/10

= (5+3) / 10

= 8 / 10

= 4 / 5

Therefore, the fraction of the dishes were cooked by Rooms 102 and 104 is 4/5 in the simplest form

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Given g(x) = 4x−8, find g(1/2).

Answers

Answer:

4(1/2) = 2

2-8 = -6

-6 is your answer

hope this helps!

For finding g(1/2) you need to substitute the value of x= 1/2

Thus , g(1/2):

[tex] = 4 \times \dfrac{1}{2} - 8[/tex]

[tex] = 2 - 8[/tex]

= [tex]\red{\bold{\large{-6}}}[/tex]

You have found a jackpot, say what ever you want

Answers

Answer:

haha

Step-by-step explanation:

doing this for points

Answer:

jackpot

Step-by-step explanation:

Erick ran 3 miles in 20 minutes. What was Erick’s average speed?

Answers

His average speed would be 9 miles per hour

The area of the circle is 144π m2

What is the diameter of the circle?

Answers

Answer:

Step-by-step explanation:

Remember that

Area of Circle = [tex]\pi r^2[/tex]

[tex]\pi = pi \\r = radius[/tex]

They told us that for this circle, the area is [tex]144\pi m^2[/tex]

If you put it back into the formula for area of a circle we get:

Area of Circle = [tex]\pi r^2[/tex]

[tex]144\pi = \pi r^2[/tex]

Divide both sides by [tex]\pi[/tex].

144 = [tex]r^2[/tex]

Now we want to solve for r (r = radius).

You need to square root each side

[tex]\sqrt{144} = \sqrt{r^2}[/tex]

[tex]12 = r[/tex]

So now we know the radius, [tex]r = 12[/tex] metres

Also remember that

Diameter = [tex]2r[/tex]

So,

Diameter = 2 times 12 = 24 metres

The required diameter of the given circle is 24 meters.

What is an area circle?

The area of the circle is given by the pie times square of the radius.

Area of circle = πr^2

Here,
The given area of the circle is 144π m²
And we know that,
Area = πr²

substitute the value of the area in the above expression,

144π = πr²
r² = 144
r = √144
r = 12 meters

Since,
Diameter = 2 × radius
Diameter = 2 × 12 = 24 meter

Thus, the required diameter of the given circle is 24 meters.

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Corey is reading a graph of equivalent ratios. If one of the ratios is represented as (3, 5), which could be another ratio?

Answers

Answer:

another ratio is 3:5=6:10 or 9:15

Explanation:

3:5×2=6:10

3:5×3=9:15

Answer:

(9,15) aka C

Step-by-step explanation:

3 times 3 is 9 and so you multiply the same number to the y-coordinate. 5 times 3 is 15!

Simplify completely: (3 - 5i)(6 + i) ​

Answers

Answer:

9+6i

Step-by-step explanation:

3+6=9

5+1=6

Please help! Solve for m in the mathematical formula y=m x+b.

Answers

Answer:

[tex]\frac{y-b}{x}[/tex]=m

Step-by-step explanation:

y=mx+b

-b          -b

y-b=mx

[tex]\frac{y-b}{x}[/tex]     =  [tex]\frac{mx}{x}[/tex]

[tex]\frac{y-b}{x}[/tex]=m

n²-3n+10=0
n²-3n+10=0​

Answers

No real solutions.

                                         there is none

Answer:

Step-by-step explanation:

AACB = ADCE
ZB = 61°, ZC = 57°, and ZD = 2x
D
E
A
с
X = [?]
B

Answers

Answer:

x = 31

Step-by-step explanation:

Given that the triangles are congruent, then corresponding angles are congruent, then

∠ D = ∠ A

The sum of the 3 angles in a triangle = 180° , thus

∠ A = 180° - (61 + 57)° = 180° - 118° = 62°

Thus

2x = 62 ( divide both sides by 2 )

x = 31

An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adults who attendee the shw was 41 more than the number of children who attended the show. How many adults and children attended the show?

Answers

Answer:

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759

Step-by-step explanation:

Total earned = 15,385

Adults = $25

Children = $15

Let

Adults = A

Children = C

The number of adults who attendee the show was 41 more than the number of children who attended the show

A = C + 41

25A + 15C = 15,385

Substitute

A = C + 41

25(C+41) + 15C = 15,385

25C + 1,025 + 15C = 15,385

40C + 1,025 = 15,385

40C = 15,385 - 1,025

40C = 14,360

Divide both sides by 40

C = 14,360 / 40

= 359

C = 359

Substitute C = 359 into

A = C + 41

A = 359 + 41

= 400

A = 400

Number of adults that attended the show = 400

Number of children that attended the show = 359

Total people who attended the show = 759



You need a loan of ​$110 comma 000 to buy a home. Calculate your monthly payments and total closing costs for each choice below. Briefly discuss how you would decide between the two choices. Choice​ 1: 15​-year fixed rate at 6​% with closing costs of ​$1200 and no points. Choice​ 2: 15​-year fixed rate at 5.5​% with closing costs of ​$1200 and 4 points.


What is the monthly payment for choice​ 1? ​$


​(Do not round until the final answer. Then round to the nearest cent as​ needed.)

Answers

Answer:

Monthly payment for choice​ 1 is $6,600

Step-by-step explanation:

We will use following formula in order to calculate the monthly payment of choice 1

Value of Loan = Monthly payment x ( 1 - ( 1 + Interest rate )^-numbers of payments / interest rate

Where

Value of Loan = $110,000

Interest rate = 6%

Numbers of Payment = 15 years x 12 payments / year = 180 payments

Placing values in the formula

$110,000 = Monthly payment x ( 1 - ( 1 + 6% )^-180 ) / 6%

$110,000 = Monthly payment x 16.6662

Monthly Payment = $110,000 / 16.6662

Monthly Payment = $6,600.18

Monthly Payment = $6,600 (Rounded to whole number)

While playing football, John lost 4 yds, then gained 15 yds, then lost 4 yds. How many yards did he gain from the three plays?​

Answers

Answe

Step-by-step explanation:

7 yards? i mean if he starts with 0 yards then its 7.... 0-4=-4 + 15= 11-4=7

In the diagram shown below PS is perpendicular to RT and the two lines intercept at W. Ray WQ is drawn. Which of the following statements about angle pairs in incorrect?

Answers

Answer:

D. angle SWT and angle QWT are complementary

Step-by-step explanation:

The angles formed at W when the two lines, PS and RT, which are perpendicular to each other intercept at W are right angles.

Thus, let's analyse each given statements to see which is true or not true about the angle pairs formed:

Statement 1: "angle PWQ and angle QWT are complementary".

m<PWT = 90°.

m<PWQ + m<QWT = m<PWT (angle addition postulate)

m<PWQ + m<QWT = 90° (definition of complementary angles)

Therefore, statement 1 is CORRECT.

Statement 2: "angle PWR and angle TWP are supplementary".

m<PWR = 90°

m<TWP = 90°

m<PWR + m<TWP = 180° (definition of supplementary angles)

Therefore, statement 2 is CORRECT.

Statement 3: "angle RWQ and angle TWQ are supplementary".

<RWQ and <TWQ are angles on a straight line and are a linear pair.

m<RWQ + m<TWQ = 180° (definition of supplementary angles)

Therefore, statement 3 is CORRECT.

Statement 4: "angle SWT and angle QWT are complementary".

m<SWT = 90°

Therefore, m<SWT + m<QWT ≠ 90°

The sum of both angles does not give 90°. Therefore, statement 4 is INCORRECT.

Thx guys (i will vote brainliest)

have an awesome day
djkal;fjkdla;jkdfl;ghkjhkjlhklkjlhkjl

Answers

Answer:

THANKS FOR THE POINTS!!!

Step-by-step explanation:

what do these signs mean

² ³ √ ∛ · ≈ ≠ , ≡ ≅ ⇒ ⇔ ∈ ∉ ∧ ∨ ∞ α β Δ π Ф ω ↑ ↓ ∵ ∴ ↔ → ← ⇵ ⇅ ⇄ ⇆ ∫ ∑ ⊂ ⊃ ⊆ ⊇ ⊄ ⊅ ∀ ∝ ∦ ║ ⊕ ¬ ∅ ∩ ∪ ⊥ ∡ ∠ ° ∞ ㏒ ㏑

if you can answer this i will name you the brainiest

Answers

:-) :-( ;-) :-P (^o^) ^o^ ^_^ :-! 8-) :-{ :-[ (-:

or

that is not an exercise. but still thanks for the points.

will give brainliest

Answers

Answer:

Pain Pain Pain Pain Pain now where is my brainliest you promised me

Step-by-step explanation:

how do you find the quotient of positive and negative decimals?

Answers

Answer:

When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative.

Step-by-step explanation:

What is the value of k?
M
115°
Y
Z
(4k+5)
(6k + 10)

Answers

Answer:

please add the image coz it's not clear

An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles, using this property we get, the value of k is: k = 10.

Here, we know that, an exterior angle is equal to the sum of the two opposite inside angles.

The picture shows an exterior angle of 115 degrees.

It's two opposite inside angles are the two equations.

This means:

(4k +5) + (6k+10) = 115

Combine like terms:

10k + 15 = 115

Subtract 15 from both sides:

10k = 100

Divide both sides by 10:

k = 100/10

k = 10

Hence,  The value of k is: k = 10.

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complete question:

attached


Cars are made in a factory for 24 hours every day.
In the factory a car is made every 209 seconds.

Work out an estimate for the number of cars made in the factory in one year.

Answers

Answer:

6,591,024,000

Step-by-step explanation:

Minutes in 24 hours=1,440

number of seconds in 24 hours=60*1440

=86,400..

number of cars made in each second=209

number of cars made in 86,400 seconds= 18,057,600

24 hours =one day

1 year =365 days

cars made in one year =365*18,057,600

=6,591,024,000

therefore, the number of cars made in one year =

6,591,024,000

The number of cars made in the factory in one year where cars are made for 24 hours every day is 150891.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done W in a day can is,

[tex]W=\dfrac{1}{n}[/tex]

In a factory, cars are made, where Cars are made for 24 hours every day. As, there is total 60 seconds in one minute and 60 minutes in one hour. Thus, the number of second in 24 hours is,

[tex]24\times60\times60=86400[/tex]

In the factory, a car is made every 209 seconds. Thus, the number of cars made in 86400 seconds (24 hours),

[tex]\dfrac{86400}{209}=431.4[/tex]

There is total 365 days (24 hours) in one year. Thus, the number of cars made in the factory in one year is,

[tex]431.4\times365=150891[/tex]

Thus, the number of cars made in the factory in one year where cars are made for 24 hours every day is 150891.

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??????????????????.?..

Answers

Y-1=2(x+3) just plug into the formula

If angle 2 = 48, determine the measure of angle 5.

Answers

Answer:

Angle 2 = 48

we are going to divide 48 by 2 to get the Angle 1

Angle 1 = 24

then Angle 5 = (5×24)

Angle 5 = 120

if a polynomial is divided by x-5, the quotient is 2x^2 +8x-9 and the remainder is 3 what is the original polynomial?

Answers

Answer:

[tex]P(x)=2x^3-2x^2-49x+48[/tex]

Step-by-step explanation:

Let the original polynomial be [tex]P(x)[/tex].

We know that when it is divided by [tex](x-5)[/tex], the quotient is [tex]2x^2+8x-9[/tex] and we get a remainder of 3.

Therefore, this means that:

[tex]\frac{P(x)}{x-5}=2x^2+8x-9+\frac{3}{x-5}[/tex]

Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 over 3. We put the remainder over the divisor. This is the same thing for polynomials.

So, to find our original polynomial, multiply both sides by [tex](x-5)[/tex]:

[tex](x-5)\frac{P(x)}{x-5}=(x-5)(2x^2+8x-9+\frac{3}{x-5})[/tex]

The left side will cancel. Distribute the right:

[tex]P(x)=2x^2(x-5)+8x(x-5)-9(x-5)+\frac{3}{(x-5)}(x-5)[/tex]

Distribute:

[tex]P(x)=(2x^3-10x^2)+(8x^2-40x)+(-9x+45)+(3)[/tex]

Combine like terms:

[tex]P(x)=(2x^3)+(-10x^2+8x^2)+(-40x-9x)+(45+3)[/tex]

Evaluate:

[tex]P(x)=2x^3-2x^2-49x+48[/tex]

And we're done!

Answer: 2x^3 - 2x^2 - 49x + 48

Explanation:

Let a be the original polynomial

Where a/(x-5) = 2x^2 + 8x - 9 (remainder 3)

a = (2x^2 + 8x - 9)(x-5) + 3
a = 2x^3 - 10x^2 + 8x^2 - 40x - 9x + 45+3
a = 2x^3 - 2x^2 - 49x + 48

a cube has a volume 512 cubuc feet. what is the side length?​

Answers

Answer:

The cube is a 8x8x8

so a side length is 8

2. Describe the graph of the line y = 15. .​

Answers

Answer:

it is a horizontal line resting at 15 on the y axis

Step-by-step explanation:

because there is no x on the left side of the equation, it must be flat. it is 15, so that is where it lies

The graph of the function y=15 is the horizontal line resting at 15 on the y-axis

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the function y=15 is the horizontal line resting at 15 on the y-axis because there is no x on the left side of the equation, it must be flat. it is 15, so that is where it lies.

Therefore the graph of the function y=15 is the horizontal line resting at 15 on the y-axis. The graph is attached with the answer below.

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if 5y - 8 < 12, what is the maximum possible value of 10y ?

Answers

Answer: The maximum possible value of y is 30 ;)

(03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 1 2 3 4
Output (y) 5 5 7 9
Part A: Do the data in this table represent a function? Justify your answer. (3 points)

Answers

Yeah I just got to scared to
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