find the value of x ​

Find The Value Of X

Answers

Answer 1

Answer:

x = 12

Step-by-step explanation:

In a pair of intersecting lines the vertically opposite angles are equal.

[tex] \longrightarrow [/tex] (6x + 7)° = (8x - 17)°

[tex] \longrightarrow [/tex] 6x + 7 = 8x - 17

Subtract 8x + 7 from both sides:

[tex] \longrightarrow [/tex] 6x + 7 - (8x + 7) = 8x - 17 - (8x + 7)

[tex] \longrightarrow [/tex] (6x - 8x) + (7 - 7) = (8x - 8x) + (-17 - 7)

6x - 8x = -2x:

[tex] \longrightarrow [/tex] -2x + (7 - 7) = (8x - 8x) + (-17 - 7)

7 - 7 = 0:

[tex] \longrightarrow [/tex] -2x = (8x - 8x) + (-17 - 7)

8x - 8x = 0:

[tex] \longrightarrow [/tex] -2x = -17 - 7

-17 - 7 = -24:

[tex] \longrightarrow [/tex] -2x = -24

Divide both sides by -2:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-2x}{-2} = \dfrac{-24}{-2} [/tex]

[tex] \sf \dfrac{-2}{-2} = 1 [/tex]

[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{-24}{-2} [/tex]

[tex] \sf \dfrac{-24}{-2} = 12 [/tex]

[tex] \longrightarrow [/tex] x = 12


Related Questions

Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
100 points

Answers

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

What number is in the exact middle of -3 and 1.5?

Answers

1 is in the middle!! hope this helps

I need help pls !!!!!

Answers

Answer:

a=5

Step-by-step explanation:

right angel=90%

90-52=28

28-3=25

5(5)=25

hope this helps

Answer:

a=7

Step-by-step explanation:

90=52+5a+3

90=55+5a

35=5a

/5

a=7

I have a diameter of 45 in, what is the radius ?

Answers

Answer:

[tex]r = 22.5in[/tex]

Step-by-step explanation:

[tex]d = 2r \\ 45 = 2r \\ \frac{45}{2} = \frac{2r}{2} \\ r = 22.5in[/tex]

Answer:

if the diameter is 45 in the radius would be 22.5 in

Step-by-step explanation:

The radius is half of the diameter.

5 (5) - -2 =

( worth 10 points)

Answers

Answer:

I think 27 is the answer

I think the answer is 27

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

9514 1404 393

Answer:

  x = 14°

  y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

  5y = 25°

  y = 5° . . . . . . divide by 5

__

Similarly, angle MOB is complementary to angle LOM, so ...

  90° -25° = 3x +23°

  42° = 3x . . . . . subtract 23° and simplify

  14° = x . . . . . .  divide by 3

The values of x and y are ...

x = 14°y = 5°

m is the midpoint of segment AB. if M (-1,2) and A(-9,6) find the cooridinates of the other endpoints.

Answers

Answer:

B(7 , -2)

Step-by-step explanation:

A(-9 , 6)

Midpoint = (-1 , 2 )

[tex]Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) = (-1 , 2)\\[/tex]

                   [tex](\frac{-9+x_{2}}{2},\frac{6+y_{2}}{2}) = (-1 , 2)\\[/tex]

Compare the x co ordinates and y co ordinates,

[tex]\frac{-9+x_{2}}{2}= - 1[/tex]               &    [tex]\frac{6+y_{2}}{2}=2[/tex]

-9 + x₂ = -1*2            & 6 + y₂ = 2*2

-9 + x₂ = -2               & 6 + y₂ = 4

      x₂ = -2 +9          &       y₂  = 4 - 6

      x₂ = 7                 &       y₂   = -2

B(7 , -2)  

Which of the expressions below are polynomials?
A) 9
B) b + 6c
C) 36xx – 2x9 + 8x7
D) –5x4 + 7x3 – 2x2 + 1/2

Answers

Answer:

A) 9

B) b + 6c

D) –5x4 + 7x3 – 2x2 + 1/2

Step-by-step explanation:

Options A), B) & D) are polynomial.

A B & D are the correct answers.

What is the slope of the line that passes through the points (1, -8) and (-5, 10)?

Answers

Hi

You have two points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

A (1; -8)   B ( -5 ; 10)

so :    '  (10 - -8 )  /  ( -5 - 1) =   18 /-6 =  -3

HELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELPHELP

Answers

Answer:

A is your answer.

Step-by-step explanation:

The quickest way to find this is to count the whole numbers between each point given in the answers and look for the answer that falls between 2 and 3 units.

Answer A, -31/2 and 1 is the only answer that meets this criteria.

494 divided by 14 is
remainde

Answers

Answer:

494 divided by 14 = 35 with a remainder of 4.

Step-by-step explanation:

The remainder is the integer "left over" after dividing one integer by another to produce an integer quotient (integer division).

To calculate remainder, work the division in your calculator as normal. Once you have the answer in decimal form, subtract the whole number, then multiply the decimal value that's left by the divisor of your original problem. The result is your remainder.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as 'Brainliest.' It would help a lot. Have a wonderful day.

What is the sum (2/5x+5/8) (1/5x-1/4)?

A. 3/5x+2/8
B. 3/5x+3/8
C. 3/5x+5/8
D. 3/5x+7/8

WOULD REALLY LIKE THE ANSWER FAST,my last 5 questions no one answered ;(​

Answers

Answer:

glad the brainly people cold cach u up on work hope u come back

Answer:

i suck at math lol

Step-by-step explanation:

how to find the points of a line that is perpendicular to a line you only know the slope of

Answers

Answer:

Write the new equation in slope-intercept form.  Replace the old slope with the new slope.  Replace the y-intercept's value with a variable (b).

Answer:

the perpendicular slope will be the opposite reciprocal of the original slope .

Step-by-step explanation:

example:  lets use the points (5,3) ( 10,7)

                 The slope is 5/4

so we need a line of    -4/5 (perpendicular) that passes through 5,3

Hope that helps

the amount of sleep that elementary school children get per night follows a normal distribution with a mean of 9.5 hours and a standard deviation of 0.55 hours. is it unusual for an elementary student to get at least 12 hours of sleep?

Answers

Answer:

Yes, that is unusual as the problem is given.

Step-by-step explanation:

If the mean is 9.5 and the standard deviation is 0.55, then anything within the normal curve of 10.05 on the high end and 8.45 on the low end is normal. 12 is more than several standard deviations or an outlier if this makes sense.

So, it is unusual as the problem is stated, but if it's a weekend, 12 hours is normal. LOL

Good luck!  

Based on the normal distribution parameters given, the probability of a student getting atleast 12 hours of sleep ls 0. Hence, it is abnormal.

Given the Parameters :

Mean = 9.5 Standard deviation = 0.55

Using the Zscore formula, the probability of getting a atleast 12 hours of sleep can be expressed thus :

Zscore = (Score - Mean) / standard deviation

For X ≥ 12 :

Z = (12 - 9.5) / 0.55 = 4.545

The probability using a normal distribution table :

P(Z ≥ 4.54) = 1 - P(Z ≤ 4.54)

P(Z ≤ 4.54) = 1 ( normal distribution table)

P(Z ≥ 4.54) = 1 - 1 = 0

Since, the probability is 0 ; hence, it is unlikely and therefore, abnormal.

Learn more :https://brainly.com/question/8165716

Ron is planning for the back-to-school rush at his store. Notebooks are sold in boxes of 42. Last year he estimated that he would sell 168 notebooks, but he sold 200 notebooks. How much was Ron’s error? –42 -32 32 168

Answers

Answer:

-32, i took the test.

Answer:

-32 is correct

Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

I'd like to imform you about responsible internet usage. Social sites like this shouldn't be used for asking people to be their girlfriend. They should especialy not be used for inappropriate reasons either. I've seen very offensive pictures on this website. Thank you for listening! Have a great day!

Key: R = Percentage Rate P = Original Price

A garden table and a bench cost 600 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?

Answers

Answer: $150
t + b = 600
t = 3b
4b = 600
b = 150

Find the measure of the third angle classify the triangle?

Answers

Answer:

obtuse and isosceles

Step-by-step explanation:

obtuse bc the third angle is 110 degrees if the two other angles are 35 degrees

if one angle is greater than 90 degrees than it is an obtuse triangle

it's isosceles bc isosceles triangles have two equal sides

an object travels at 20 m/s for 20 seconds. how far has it traveled?

Answers

Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

hey If I originally had an A/101% in class and then did an assignment and got a 72% on it, what should my grade be now?​

Answers

Answer:

well

Step-by-step explanation:

If it was a test grade it would be 60 or 70 percent but a daily grade would probaly be 20 or 30 percent hope this helps

Answer:

Step-by-step explanation:

You would have a Z on your grade obviously

PLEASE ANSWER THIS ASAP QUESTION IS AT BOTTOM OF SCREEN

Answers

Answer:

make sure tooooooooooo

What is the value of x?
What is the value of y?​

Answers

answer:

y=4

Step-by-step explanation:

given

DG=GF

10y-4=7y+8

3y-4=8 (subtract both side by 7y)

3y=12 (add both side by 4)

y=12/3

y=4 (ans)

Could someone explain how to solve this for me?

Answers

The answer it's 95o UwU

Enter the sum of the numbers as the product of their gcf and other sum 27+72 what is the answer ?

Answers

Answer:

89

Step-by-step explanation: for the adtion it is 89     for the gcf is 3

What is the solution to the inequality 75 > x/15?
______________________________________
A) x 1,125

C) x 5
______________________________________

Answers

Answer:

75 > x/15

Step-by-step explanation:

Step 1: Mulitply the 15 on both sides in order to get the x by it self.

Step 2: Simplify. 75 x (15) >x/15 x (15)

Step 3: The 15 on the right hand side cancels out leaving the x by itself.

Final Answr: 1125 > x which translates to x < 1125

 The solution to the inequality is: A) (x > 1125)

To solve the inequality 75 > x/15, we need to find the range of values for x that satisfy the inequality.

First, we can start by isolating x on one side of the inequality. To do that, we can multiply both sides of the inequality by 15 (since 15 is a positive number, we don't need to reverse the inequality sign):

75 * 15 > x

Now, simplify the left side of the inequality:

1125 > x

So, the solution to the inequality is x < 1125, which means all values of x that are less than 1125 will satisfy the inequality.

Visually, if we plot the graph of y = x/15 and y = 75, we'll see that y = x/15 is a straight line with a positive slope of 1/15 passing through the origin, and y = 75 is a horizontal line parallel to the x-axis at the y-coordinate of 75. The solution to the inequality is the region below the line y = 75, which corresponds to the values of x that are less than 1125.

In real-world terms, this inequality represents a scenario where 75 is greater than some fraction of x divided by 15. To satisfy the inequality, x must be less than 1125. For example, if x represents the number of items sold in a store, this inequality would indicate that the store must sell fewer than 1125 items to meet the condition. The store's sales would need to be less than 1125 * 15 = 16,875 to maintain the inequality's validity. Beyond this point, if the store sells more items, the inequality would no longer hold true.

To know more about inequality:

https://brainly.com/question/20383699

#SPJ2

When Kim works 40 hours in a week, she earns $560. If she works only 35 hours, how much should she expect to earn?

Answers

Answer:

$490

Step-by-step explanation:

$560 divided by 40 is $14 an hour and 14 times 35 is 490, so $490.

Answer:

£490

Step-by-step explanation:

So you do 560 divided by 40, which is 14 then you × 35 by 40 =£490.

-7x+21y=63 what are the x and y intercepts

Answers

Answer:

x intercept: (-9,0)

Y intercept: (0,3)

given that 4x:3 = 11:7 calculate x

Answers

Answer: The answer is 33/28 or 1.17

If it's rounded it will be 1.18

Step-by-step explanation:

Frank marry and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank work out the total number of sweets shared(pleez answer im in a crisis) ​

Answers

Answer: 96

seth got 18 more than frank

in terms of ratio he got 3 more than frank

this means that 3 is equal to 18

so we find the whole ratio to fing the total

There are 40Student in a class. If the number of boys is 4less than the number of girls.find the number of boys.​

Answers

Answer:

18

Step-by-step explanation:

Let number of girls be 'x'.

So, Number of boys = Number of girls - 4

= x - 4

Total number of students in a class = 40

Number of girls + Number of boys = Total number of students in a class

[tex] \longrightarrow [/tex] x + x - 4 = 40

[tex] \longrightarrow [/tex] 2x - 4 = 40

[tex] \longrightarrow [/tex] 2x - 4 + 4 = 40 + 4

[tex] \longrightarrow [/tex] 2x = 44

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{2x}{2} = \dfrac{44}{2} [/tex]

[tex] \longrightarrow [/tex] x = 22

[tex] \therefore [/tex] Number of boys = 22 - 4

= 18

Other Questions
Because cost of living varies, it is important to consider____________when conducting a job search.A)locationB) tuitionC) independenceD) productivity please help i don't understand this Mr. Jeff has a budget of $150 to spend on music books. The cost of the books is $12. What is the maximum number of books can he buy? BRANLIEST PLSSSS HELPPPP ead the passage from "The Raven and the First Men: The Beginnings of the Haida.Raven crept into the chiefs dwelling. He appeared as a baby, with raven hair and black eyes. The chiefs daughter adopted the child, never knowing that he was in fact Raven the trickster.The daughter loved the child, but soon the baby began to cry. The Sky Chief did whatever he could to comfort his new grandson, but the baby was inconsolable. Finally, to appease the child, he gave him a small box to play with. Raven, as the baby, tumbled and tossed the box until it fell open. Whoosh! The stars flew up through the smoke hole in the ceiling, settling in the night sky.The chief was very upset, but was able to recover, as they were only stars and not very luminous.Based on the passage, the reader can infer that some Haida families lived in homes thatwere large.were small.had windows.had fireplaces. Can someone help with this? Immediately following the French and Indian War, American colonists were determined toA) declare independence from Great BritainB) settle lands in the Ohio River Valley C) create commercial relationships with American IndiansD) repay debt incurred during the war Cuando Pablo y su (s) amigo (s) van de camping montan _____________.Need help like asap Some fables attributed to Aesop appear on Egyptian papyri dated 1,000 years before his birth.A. simple sentenceB. compound sentenceC. complex sentenceD. compound-complex sentence what is probably the real reason that pollard let rosemont get so close in seabiscuit Which of the following is an example of metaphor?a. the sun was red and gold and maroon all at once b. the sun was a fat red tick on the scruff of the horizonc. the sun was more lovely than I had even seen itd. the sun was like molasses melting in a pan what are the 3 basic classes of nutrients and give an example of each 1. Lithium, water, edible salt, chalk, Carbon, Lime, Nitrogen, Potassium, Oxygen, Iodides, Iron, Chlorine, etc are some matters.(a) Among the mentioned matters in the stem which one is called the UniversalSolvent? Analyze the cause. 5 marks If the red house is on the left, and the blue house is on the right, where is the white house?...think about it.. 1. How many terms are in 7y-2+9x-4? halp me im scared...just learned what owo and uwu mean... ;-; Are there any mammalian cells that would be a good source for dividing cells? Most entrepreneurs have similar characteristics, true or false? In the exam 45% students failed and 550 students were successful. Find the total number of students appeared in the exam . A company makes cylindrical crackers that have a cylindrical hole in the middle.