Two lines are intersected by a third line.

Two horizontal parallel lines are intersected by a third line. The third line intersects the top line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. The third line intersects the bottom line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7.
If Angle2 Is-congruent-to Angle6, which must be true about Angle2?

Angle2 Is-congruent-to Angle5
Angle2 is complementary to Angle5.
mAngle2 = mAngle8
Angle2 is supplementary to Angle8.

Answers

Answer 1

Answer:

Angle2 is supplementary to Angle8.

Answer 2

If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8.

What are Congruent Angles?

This refers to the type of angle where two different angles are said to have equal measure on their corresponding sides.

With this in mind, we can see that based on the two horizontal parallel lines are intersected by a third line, there is a third line that intersects the top line and forms four angles.

Hence, if If Angle 2 Is-congruent-to Angle 6, then the statement which must be true about Angle 2 is that Angle 2 is supplementary to Angle 8 because the sum of either angles is 180 degrees.

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Related Questions

Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1.  Subtract 12 from both sides: −6x − 12 = −4y 2.  Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y

Answers

Answer: 1.5x

Step-by-step explanation:

Answer:

1.5x + 3 = y

Step-by-step explanation:

−6x = 12 − 4y

1.  Subtract 12 from both sides: −6x − 12 = −4y

2.  Divide −4 to both sides: -6x-12 over -4 = -4y over -4

4/11x10/8
What is the answer

Answers

Answer:

5/11

Step-by-step explanation:

4/11 × 10/8

= 40/88

= 5/11

If the diameter of a circle is 18 feet, which is closest to the circumference?
A. 56 52 feet
B. 9 feet
C. 573 feet
D. 28 26 feet

Answers

Answer:

A. 56 52 feet

Step-by-step explanation:

[tex]d = 18 \: ft \\ c = \pi \: d \\ c = 3.14 \times 18 \\ c = 56.52 \: ft[/tex]

The closest to the circumference is  56 52 feet.

It is required to find the circumference.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

Given:

Diameter of a circle is 18 feet.

Radius=18/2=9  feet.

We know that

circumference of the circle= 2πr

According to given question we have,

circumference of the circle= 2πr

circumference of the circle=2 π*9

circumference of the circle=56.54 feet.

Therefore, the closest to the circumference is  56 52 feet.

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Pls help me out and follow the steps

Answers

Answer:

4w + 3 = 2w + 7

-[2w]      -2w

-----------------------

2w + 3 = 7

       -3   -[3]

----------------------

2w  =  [4]

2w =  4

----    ----

2      [2]

w = [2]

HELP MEEE OMGGGG JESSUS AMENNN

Answers

Answer:

Answers in the pics

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

11+4+x=x+9. kaksjdjdbdjjdjdbdbd

Answers

Answer:

x=0.6

Step-by-step explanation:

11+4+x=x+9

15+x=x+9

15x=9x

             9/9=1

9/15=0.6

x=0.6

Tom has 40$ to spend. He spend $21.40 on a light saber. He needs to set aside $15 for a toda t-shirt. If skittles cost $0.58 per package, what is the maximum number of skittles packages he can buy? PLEASE HELP

Answers

Tom would have enough money to buy 6 bags

Answer:

6

Step-by-step explanation:

40 - 21.40 = 18.6

18.6 - 15, for the amount he sets aside for shirt = 3.6 left to spend

3.6 divided by 0.58 = 6.20

so rounded, the answer should be 6 packages of skittles

What is the solution to this linear system?

Answers

The answer is (-1,7)

I got this answer because to solve a system, you find the point on the graph where both lines intersect. And that point in this graph is (-1,7). Hope this helps!:)))))

Solve the equation. -1 + x = -10 x =

Answers

Answer:

-1

Step-by-step explanation:

2p²q³×5pq÷10p³q⁴ PLEASE SOLVE THIS EQUATION WITH WORKING. THANK YOU!

Answers

Answer: p^6q^8

Step-by-step explanation:

I'VE ASKED THIS ONE EARLIER BUT NOBODY ANSWERED Point D is in the interior of \small \angle ABC, \small m\angle ABC=20x-15, \small m\angle ABD=6x-5, and \small m\angle DBC=x+16. What is \small m\angle ABD? \small m\angle ABD= degrees

Answers

Answer:

Step-by-step explanation:

Since, Point D is in the interior of angle ABC.

Therefore,

[tex]m\angle ABC = m\angle ABD + m\angle DBC\\

20x - 15 = 6x - 5 + x + 16\\

20x - 15 = 7x + 11\\

20x - 7x = 11+15\\

13x = 26 \\ x = \frac{26}{13} \\ x = 2 \\ \\ m\angle ABD = (6x - 5) \degree \\ m\angle ABD = (6 \times 2 - 5) \degree\\ m\angle ABD = (12 - 5) \degree \\ \huge \red{ \boxed{ m\angle ABD = 7\degree}}[/tex]

I hope this will help. If you have questions just message me

What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2? (1 point) Group of answer choices 5 over 2 5 to the power of 2 over 2 2 to the power of 2 over 5 to the power of 2 5 over 2 to the power of 2

Answers

Answer:

I got the answer 5 over 2

Answer:

5/2

Step-by-step explanation: hope it helps :)

Zack did 1/6 of his homework in 1/2 an hour. How much can he do in one hour

Answers

Answer:

1/3

Step-by-step explanation:


MONEY FOR FUN
If you earn $50,000 a year
and spend 5 percent of
that on sports and enter-
tainment, how much do
you spend per year on
sports and entertainment?
Th

Answers

Answer:

$2,500

Step-by-step explanation:

1.) 5% would be switched to decimal form which is 0.05

To do this, start with 5.

Move the the decimal point two place values to the left.

2.) Now multiply 50,000 and 0.05

3.) This equals 2,500

3.16 x 10 with the power of 3

Answers

Answer:

3160

Step-by-step explanation:

3.16 x 10^3

10^3 = 1000

so you move the decimal point three times to the right

I hope this helps

Answer:

3,160

Step-by-step explanation:

This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.

You would take

3.1600

and move the decimal point 3 spaces to the right

31.600

316.00

3160.0

3,160 is your answer

Hope this helps :-)

The expression 14 to the power of 6 divided by 14 to the power of 4 is equal to

Answers

Answer:

[tex]14^{2}[/tex] [tex]or 196[/tex]

Step-by-step explanation:

[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]

all you have to do it subtract

[tex]14^{6} - 14^{4}[/tex]

=

[tex]14^{2}[/tex]

which is equivalent as 196.

to solve [tex]14^{2}[/tex], it's just

14 × 14 = 196

1       2

Factor completely
6х2 - 23х + 20

Answers

-6x^2 - 23x - 20
-(6x^2 + 23x + 20)
-(3x + 4)(2x + 5)

Answer:

The answer is (2x-5) (3x-4).

There is a 40% chance of rain on Tuesday and a 50% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?

Answers

Answer:

You will submit your completed work from the "Explore: Famous People" assignment here. Type or copy/paste your response directly into the space provided.

As a reminder, the activity instructions are included below:

Using Spanish resources, research a famous historical figure from a Spanish-speaking country. You may consider finding information on Miguel Hidalgo, Simón Bolívar, José de San Martín, Benito Juarez or Ferdinand and Isabel.

In 1-2 Spanish paragraphs, write a brief biography and then describe his/her important contributions. In addition, explain this person's significance in the country where he/she is from.

You will be graded on (1) evidence of research conducted, (2) appropriateness of response, and (3) overall quality of your response.

You may use outside sources (Internet, books, magazines, etc.) to gather information for this assignment. However, be sure not to copy the information directly from those sources. Copying information and presenting it as your own work is considered plagiarism and will result in a failing grade. You will need to rephrase the information into your own words and cite the source of the information you used.

Step-by-step explanation:

Mr. Gonzalez earns his living as a salary plus commission employee. His annual salary is $18,000. He makes 4% commission on all of his sales. Mr. Gonzalez wants to earn $60,000 this year. If his earnings are divided evenly throughout the year, how much in monthly sales would Mr. Gonzalez need to have?

Answers

Mr. Gonzalez's monthly sales must be $87,500.

What is percentage?

"It is a number or ratio that can be expressed as a fraction of 100"

For given example,

Let 's' represents the monthly sale.

So, the annual sales are 12 × s

He makes 4% commission on all of his sales.

So, the commission on (12 × s) sales would be,

= 12 × s × (4%)

= 12× s × 0.04

Mr. Gonzalez wants to earn $60,000 this year.

So, we get an equation,

⇒ 18000 + (12 × s × 0.04) = 60000

⇒ 12 × s × 0.04 = 60000 - 18000

⇒ 12 × s × 0.04 = 42000

⇒ s × 0.04 = 42000/12

⇒ s × 0.04 = 3500

⇒ s = 3500/0.04

s = 87500

Therefore, Mr. Gonzalez's monthly sales must be $87500.

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Cell Phone Plus and Phones R Us offer special prices for new customers. Each cell phone company’s advertisement is shown below.

Cell Phone Plus

Phones R Us

$50 Activation Fee

$15 per month

$60 Activation Fee

$10 per month



For what number of months, x, would the cost be the same?

Answers

2 months, 50+15x =60+10x when x=2

y = 9(x – 8)2 + 17
Standard form

Answers

Answer:

I think that the answer would be y=18x−127

The combined height of the world's three tallest buildings is 6,360 feet. The building in Dubai is 745 feet taller than
the building in Makkah. Taipei's building is 301 feet shorter than Makkah's.
The equation (x + 745) + x + (x - 301) = 6,360 represents the scenario.
What can be determined from the given information? Check all that apply.
x represents the height of the building in Dubai.
The expression (x - 301) represents the height of the building in Taipei.
The building in Makkah is 1,972 feet tall.
The height of Dubai's building is 1,227 feet tall.
The height of Taipei's building is 1,671 feet tall.

Answers

Answer:

b , c , d

Step-by-step explanation:

Answer:

The answer is B, C, and E.

Hope this helps!!! Love you!!

Step-by-step explanation:

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.

(a) Show your work.
(b) Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your answer​

Answers

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

Solve the following equation for b be sure to take into account whether a letter is capitalized or not f = ad

Answers

Answer:

Step-by-step explanation:

J

Multiply (3)x(−4)x(2).

Answers

-24..........!!!!!!!!!!

Answer:

-24x²

Step-by-step explanation:

remove the parentheses, multiply the numbers, apply exponent rule and add the numbers

n + m-a=d solve for m

HELP!!

Answers

Answer:

m = d - n + a

Step-by-step explanation:

Subtract n and add a on both sides to isolate m

What’s y-6=4(x+3) in slope intercept form?

Answers

Answer:

Step-by-step explanation:

y = 4x + 18

3z + 9 + 14z = 4x + 5
Choose 1 answer:

A.No solutions
B.Exactly one solution
C.Infinitely many solutions

Answers

The answer would be b

Solve for the given variable 7x+5y=6 for y

Answers

Answer:

y = (6/5) - (7/5) x

Step-by-step explanation:

goal: to rearrange the equation such that it takes the form:

y = f(x) ; where f(x) is an expression in terms of x

Given:

7x+5y=6   subtract 7x from both sides

5y = 6 - 7x   (divide both sides by 5)

y = (6-7x) / 5

y = (6/5) - (7/5) x

What is 25.894 - 12.65

Answers

Answer:

0.244

Step-by-step explanation:

Step 1:

12.894 - 12.65

Answer:

0.244

Hope This Helps :)

Answer:  13.244

Step-by-step explanation:

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