In the diagram, a∥b and b∥c. Find the values of x. PLEASEEE HELP

In The Diagram, Ab And Bc. Find The Values Of X. PLEASEEE HELP

Answers

Answer 1
Answers:  x = 17 or x = -23

The order of the answers doesn't matter.

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

Explanation:

a || b means the two lines a and b are parallel

If a || b and b || c, then a || c by the transitive property. Think of it like chaining pieces together.

Since a || c, this means the alternate exterior angles |5x+15| and 100 are congruent, or the same measure.

Solve for x

|5x+15| = 100

5x+15 = 100 or 5x+15 = -100

5x = 100-15 or 5x = -100-15

5x = 85 or 5x = -115

x = 85/5 or x = -115/5

x = 17 or x = -23

Answer 2

The value of x is 17.

What is alternate exterior angle?

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer edges.

Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternative external angles are created in the area outside the parallel lines.

Given:

<1 = 5x + 15

<2 = 100

Using alternate exterior angle

5x + 15 = 100

5x = 100- 15

5x = 85

x= 85/5

x= 17

Hence, the value of x is 17.

Learn more about alternate exterior angle here:

https://brainly.com/question/2279752

#SPJ2


Related Questions

Why did the robber take a bath

Answers

Answer:

To make a "clean getaway"

Step-by-step explanation:

haha, nice one :D

While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of

students in the entire class.

Answers

Answer:

20

Step-by-step explanation:

Do 15 divided by 0.75

plzzzzzzzzzzzzz helpppppppppppppp

Answers

Heyyyoooooooooo I got youuuuuu giveeee meeee a second pleaseeeeeee

Answer:

Question 25:

[tex]6[/tex]

Question 19:

[tex]16[/tex]

Step-by-step explanation:

Question 25:

[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]

[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]

[tex]y = 3( 2 - \frac{x}{12} )[/tex]

[tex]y = 6 - \frac{x}{4} [/tex]

[tex]y = - \frac{x}{4} + 6[/tex]

Question 19:

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 18[/tex]

To find the c value ,

[tex]c = ( \frac{b}{2} {)}^{2} [/tex]

divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Hope it is helpful....

simplify
√(8+2√15)

Please hurry

Answers

Decimal form is 3.96811878

Ashley uses a mix of six base-ten blocks to model a 3 digit number. All 3 digits of the number are the same. What is the number?

Answers

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

Select the correct answer from each drop-down menu.
The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are
. The values of p from the set that make 4p − p > 13 true are
.

Answers

Answer:

p=1, 2, 3

Step-by-step explanation:

p(4-1)<13

p3<13

p<13/4

p<3.25

p=1, 2, 3

The diameter of a foot ball is 12cm ?find itsvolume​

Answers

Answer:

288 [tex]\pi[/tex] cm³

Step-by-step explanation:

diameter = 12 cm

radius = diameter/ 2

= 12/ 2

= 6 cm

volume of a sphere = 4/ 3 × [tex]\pi[/tex] × (6)³

= 4/ 3 × [tex]\pi[/tex] × 216

= ( 864 [tex]\pi[/tex])/ 3

= 288 [tex]\pi[/tex] cm³

A swimmer covers 180m in 20 seconds. How many metres does she swim in one second?​

Answers

Answer:

She swims 9m in one second

Step-by-step explanation:

Calculate the area of the figure.

HELP

Answers

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

sushmila is buying Mehdi supplies

Answers

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

The following data represents the amount of snow snow that fell in a week.
Daily snowfall
Day
Snowfall (inches)
Sunday
9
Monday
7
Tuesday
6
Wednesday
10
Thursday
3
Friday
4
Saturday
6
The median of the numbers is

Answers

The median of the numbers is 6.

Which of the following is equal to g(x)?
A. 1/3 (x)
B. (x+3)
C. (x) - 3
D. (x - 3)

Answers

I think that the answer is d

a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings​

Answers

The length of a chord which is 24cm from the Centre is: 14 cm

How to find the length of the chord?

Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:

R = √[(30/2)² + 20²]

R = √(15² + 20²)

R = √625

R = 25 cm

The length L of the another chord is calculated as:

L/2 = √(R² - 24²)

L/2 = √(25² - 24²)

L/2 = √49

L/2 = 7

L = 14 cm

Read more about Length of Chord at; https://brainly.com/question/30804688

#SPJ1

Select all that are equivalent to 4/16
1/5
0.25
0.252525
25%

Answers

Answer:

0.25 and 25% are equivalent

Step-by-step explanation:

Find the indicated term in the sequence.

Please show steps too! Thank you.

Answers

Answer:

Value of An if n is 17 = -834

Step-by-step explanation:

Given:

A100 = 245

d = 13

n = 17

Find:

Value of An if n = 17

Computation:

An = a + (n-1)d

A100 = a + (100-1)13

245 = a + (99)17

245 = a + 1,287

a = 245 - 1,287

a = -1,042

So,

Value of An if n = 17

An = a + (n-1)d

A17 = -1,042 + (17-1)(13)

A17 = -1,042 + (16)(13)

A17 = -1,042 + 208

A17 = -834

Value of An if n is 17 = -834

Find two numbers that multiply to be -18 and add up to be -7

Answers

It’s (-9,2) or (-2,9)

Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth

Answers

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10

1. What is the MEAN age of the children in your neighborhood playschool?​

Answers

Answer:

Hi there, the correct answer should be...

The mean age of the children is 5.

Step-by-step explanation:

mean:average

1 + 5 + 4 + 8 + 2 + 5 + 10 = 35

35 ÷ 7 = 5

How do this I can’t do it?

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, scaled copy to original

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games

Answers

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.

Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.

What is the volume of the figure?

Answers

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.

HELP ASAP, i don't get this

Answers

I think they want you to write out Pythagorean’s theorem since it’s a right triangle and the formula is c^2=a^+b^2. So the first box would be 8 (so the c) and 5 would be the next box (so the a). You can sketch the right triangle and see that the length 8 is the hypotenuse and 5 is one of the lengths.

Given that f(x) = 3x - 2, g(x) = x2 + 3x and h(x) = 4.2^x​

Answers

i pray for you i hated this section and i wish i could help you:( the app photo math helped me!

PLEASE HELP I HAVE A C ALREADY I NEED TO GET THIS RIGHT PLEASE


You want to estimate the number of students in your school who support extra funding for the science club. You survey the first 13 students who arrive at a science class.


Determine whether the sample is biased or unbiased.

Answers

Answer:

BRO I HAVE THE SAME QUESTION FOR MY TEST....

ITS BIASED IM REALLLLY SURE

Step-by-step explanation:

the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.

Answers

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours

PLEASE HELPPPP I NEED THIS FASTTTTT

Answers

Answer:

[tex]there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%[/tex]

hey! please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

"grow or develop in a healthy or vigorous way, especially as the result of a particularly favorable environment."

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

pleaseeeeee helppppppppp

Answers

Answer:

Supplement = 4°

other angle = 176°

Step-by-step explanation:

44x + x = 180°

45x = 180°

x = 4

Since the supplement = x

and we now that x = 4

The supplement = 4°

180° - 4° = 44(4)

176°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

To get the x and the y

Answers

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

Other Questions
Lima buys a new car from Motor City Inc. In the first month after the purchase, the car repeatedly fails to meet standards of quality and performance. To prevail against Motor in a lemon-law dispute, Lima must a. take the car to an expert third party for an independent inspection. b. have reason to know of the cause of the failure. c. file a court action without prior notice of the defect to the dealer. d. give the dealer or manufacturer an opportunity to remedy the problem. The half life of a drug in the bloodstream is 18 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours? Graph the system of linear inequalities Which of the following is equal to 2?6 + 4 = (2 + 1) * 3(6 + 4 + 2) - 136 + (4 + 2) + 1 x 3(6 + 4) - 2 - 1 x 3 One of the factors that led to the rise of industrialism in Great Britain was its Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?Please help this is due in an hour or so and I really need help The following question has two parts. First, answer Part A. Then, answer Part B.Part A:Which sentence BEST explains why Emma befriends Harriet?A Harriet lacks refinement, and Emma wants a project.B Harriet does not have many friends, and Emma is very sociable.C Harriet wants to become a member of high society, and Emma can help her.D Harriet wants to be married, and Emma knows the eligible bachelors.Part B:Which excerpt from the text BEST supports your answer to Part A?A Harriet Smith was the natural daughter of somebody. Somebody had placed her, several years back, at Mrs. Goddard's school, and somebody had lately raised her from the condition of scholar to that of parlour-boarder.B . . . but they must be coarse and unpolished, and very unfit to be the intimates of a girl who wanted only a little more knowledge and elegance to be quite perfect.C . . . Emma lost no time in inviting, encouraging, and telling her to come very often; and as their acquaintance increased, so did their satisfaction in each other.D Emma encouraged her talkativeness, amused by such a picture of another set of beings, and enjoying the youthful simplicity which could speak with so much exultation of Mrs. Martin's having "two parlours, two very good parlours, indeed . . . and of their having eight cows. . . ." Which of the 85 essays of The Federalist Papers is the most famous? Listed in the Item Bank are some important labels for sections of the image below. To find out more information about labels, some have more details available when you click on them. Drag and drop each label to the corresponding area it identifies in the image. Which structure is found in the cytoplasm of a typical plant cell? A.vacuole B.cell wall C.chloropast D.cell membrane Nicolaus Copernicus: Wrote that the Earth and other planets revolved around the sun Galileo Galilei: Emphasized careful observation and testing of hypotheses ? Isaac Newton: Developed the laws of gravity, explaining the speed of falling objects and the movements of planets Which phrase best completes the diagram? Enlightenment ideas Social Contract Theory Acceptance of Traditional Authority Scientific Revolution Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?4488104188 PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! TTUsing the 45o -45o -90o triangle theorem, solve this triangle. Summarize The Emancipation Proclamation (pros / cons / controversies / impacts): How GM food are produced? What are the zeros of the function?f(x)x^3 + 2x^2 35x/X-3 Which of these is most likely to increase self-efficacy? (I NEED THIS QUICK!!)a) decreased emotional arousalb) increased emotional arousalc) extrinsic rewardsd) verbal persuasion Given this relationship, if you and your twin sibling (assuming you have the same mass) were to be separated by three times your original distance, what is the new gravitational force between you? A. A really well-stocked bookshelf should have classical literature on it as well as important modern works of the current day.B. A well-stocked bookshelf should have classical literature and important modern works.