(8x-14)° (5y+16)° (5x+34)° Write the equation to solve for x

(8x-14) (5y+16) (5x+34) Write The Equation To Solve For X

Answers

Answer 1

Answer:

The equation to solve for x is 8x - 14 = 5x + 34

The value of x is 16

Step-by-step explanation:

Let us use the angles between the parallel lines to find x

∵ Lines l and m are parallel

∴ ∠(8x - 14)° and ∠(5x + 34)° are alternate exterior angles

∵ The alternate exterior angles are congruent

∴ ∠(8x - 14)° ≅ ∠(5x + 34)°  

→ Equate them

∴ 8x - 14 = 5x + 34

The equation to solve for x is 8x - 14 = 5x + 34

Let us solve it to find x

∵ 8x - 14 = 5x + 34

→ Subtract 5x from both sides

∵ 8x - 5x - 14 = 5x - 5x + 34

∴ 3x - 14 = 34

→ Add 14 to both sides

∴ 3x - 14 + 14 = 34 + 14

∴ 3x = 48

→ Divide both sides by 3 to find x

∴ [tex]\frac{3x}{3}=\frac{48}{3}[/tex]

∴ x = 16

The value of x is 16


Related Questions

In class VIII, there are 140 students. The ratio of boys to girls is 4:3. a) Find number of girls. b) Find number of boys.​

Answers

Answer:

A) 60 girls B)80 boys

Step-by-step explanation:

Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.

what is x of the rectangle?

Answers

Answer:

x = 8

Step-by-step explanation:

Since this is a rectangle, we know that each corner's angle is 90 degrees. (The box thing at the bottom right shows this.)

Since the two angles that make up angle E sum up to 90, we can make an equation:

(9x - 6) + (2x + 8) = 90

11x + 2 = 90

11x = 88

x = 8

The vertices of ATM are A(3,-1), T(1,5) and M(-1,2). Find the slope of the altitude
from T to AM.

Answers

Answer: 4/3

Step-by-step explanation:

Convert 3,450,000 into scientific notation.

Answers

Answer:

3.45 x 106

Step-by-step explanation:

Answer:

3.45 * 10⁶

Hope that helped :D

James has 858 feet of rope. There are 18 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?

The answer is a fraction. also simplify

Answers

Answer:

48 or 47

Step-by-step explanation:

858/18 = 47.6

Question is is in the picture​

Answers

Answer:

$5 per person

Step-by-step explanation:

3 people. 5 dollars each. 15 dollar admission. 3x5 is 15

Solve this equation, Please!
10m=​25
Will try to mark the brainliest!

Answers

Answer:

5/2

Step-by-step explanation:

Divide both sides by the same factor then simplify

Answer:

m=2.5

Step-by-step explanation:

10m=25

m=25/10

m=5/2

m=2.5

A race is 7/10 kilometers long. Ryan ran 9 of these races. How far did he run altogether?

Answers

Answer:6 and 3/10 kilometers

step-by-step explanation:

7/10 times 9 = 63/10

6 and 3/10 kilometer

Answer:

6 and 3/10 kilometers

Step-by-step explanation:

hope this help'<'

Using the Pythagorean Theorem What is the length of side a when b=24 and
c=262

Answers

Answer:

261

Step-by-step explanation:

a²+b² = c²

Given, a = ?

b = 24

c = 262

a² = c² - b²

a²= 262² - 24²

a² = 68644 - 576

a² = 68068

a = √68068

∴ a=  260.89844

can be said as 261

this would be 261!!!

Eric is keeping track of rain water. On Monday it rained 1 3/4cm. On Tuesday it rained 2 1/8cm. How much more did it rain on Tuesday than on Monday

Answers

Answer:

It rained 3/8 cm more on Tuesday than Monday.

Step-by-step explanation:

What I first did is convert the fraction 3/4 into 6/8 (multiply both sides by two) so I could get a common numerator to solve the two fractions. Then, I gave one whole from the 2 wholes in 2 1/8 to 1/8 to make it easy to subtract with 6/8 (I wuldn't like to do 1/8-6-/8) and made it into 9/8. Then it's simple subtraction (oh yes and don't forget to turn the 2 into 1 since it lost a whole) and voila! 3/8 cm

Aye I’m Eric wth you mean I don’t keep track of rain

Please answer with steps
question down below

Answers

Answer:

n = 6 probably

Step-by-step explanation:

10 + I 10n + 6 I+ = 76

since " I   I " means it will always be positive we can kinda just ignore it

10 + 10n + 6 = 76

16 + 10n = 76

10n = 76 - 16

10n = 60

n = 6

Maria ran 4 7/8 miles on Monday she ran 2 and 3/8 miles on Friday how many miles to Maria run all together

Answers

Answer:

7 2/8

Step-by-step explanation:

whats the solution to 5x+2y=8

Answers

Answer:

Not possible.

Step-by-step explanation:

We would need another equation to solve this problem as we have 2 variables.

Observe the pattern 5,9,13, 17. In this number pattern, find the algebraic expression ?
help me!!! please
and explain me please!!!​

Answers

Answer:

+ 4

Step-by-step explanation:

The pattern of the expression is +4 as you see it goes 5 to 9

5 + 4=9

And if i'm correct the number after 9 will be 13 and it is

9 + 4=13

next it will be a 17 because 13 + 4=17

The next following numbers of the pattern will be 21  25  29  33  37 41 45

Hope it helps have a great day:)

40 is 1/10 of 400 please help me

Answers

Answer:

True statement

Step-by-step explanation:

400/10 = 40

so we can say the 40 is a tenth 400

A-b =56

A:b is equal to 9:2

Answers

Answer:

  A = 72

  B = 16

Step-by-step explanation:

Ratio problems can often be worked by considering them in terms of "ratio units." Here, the difference in ratio units is 9-2 = 7. The difference between the actual numbers is A -B = 56. This means each ratio unit stands for an actual number value of 56/7 = 8

Then the ratio of actual values is ...

  A : B = (9·8) : (2·8) = 72 : 16

Check: These actual values of A and B have a difference of 72-16 = 56.

  (A, B) = (72, 16)

The diagram shows a square pizza box with side lengths of 14 inches. In the box is a circular pizza with a radius of 6 inches. What is the difference between the area of box and the pizza?

Answers

Answer:

18cm

Explanation

2πr

2×22/7×6=38cm

4l=14×4=56

The difference=56-38=18cm

5 people build 3 huts in 21 days . Find the number of people that will build 6 huts in 15 days ?

Answers

Answer:

3 huts are built by 5 people in 21 days.

So 1 hut is built by 5 people in 7 days.

That is to say, 1 hut requires 5*7 = 35 man-days.

Which means 6 huts need 6*35 = 210 man-days.

If the time available is 15 days, 6 huts will need 210 man-days/15 days = 14 people.

Answer = 14 people.

A washing machine costs 1,230. You catch the item on sale and save $369. What percent did you save on the washer

Answers

Answer:

so we have to find what percentage 369 is of 1230

369/1230=0.3

so they save 0.7 or 70%

Hope This Helps!!!

Answer:

Step-by-step explanation:

1,230/569= 3.3 or 87-89%

Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t rodney owes $1,541.05 on his credit card. his card has an apr of 16.29%, compounded monthly. assuming that he makes no payments and no purchases, how much will he owe after one year? a. $1,561.97 b. $1,811.70 c. $1,792.09 d. $1,541.05 please select the best answer from the choices provided a b c d

Answers

The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Rodney owes $1,541.05 on his credit card.

His card has an APR of 16.29%, compounded monthly.

Assuming that he makes no payments and no purchases.

He owes after one year will be

Amount = 1541.05 × 1.1629

Amount = 1792.087 ≅ 1792.09

More about the percentage link is given below.

https://brainly.com/question/8011401

Rs 515 is divided between Sangeetha and Manish in the ratio 4 :1

( i) Find the amount Sangeetha gets
(ii) Find the amount Manish gets
(iii ) Sangeetha’s share is more than Manish by

Answers

Sangeetha got Rs. 412, Manish got Rs. 103 and the difference is Rs. 309

Data;

Ratio = 4:1Amount shared = 515

The amount Sangeetha got

To calculated the amount Sangeetha got, let's solve the ratio

[tex]4 + 1 = 5\\\frac{4}{5} * 515 = 412[/tex]

Sangeetha got Rs 412.

The amount Manish got

To calculate the amount Manish got we can either subtract 412 from 515 or we find 1/5 of 515

[tex]\frac{1}{5} * 515 = 103[/tex]

Difference in the amount

The difference in the amount is calculated by subtracting 412 from 103

[tex]412 - 103 = 309[/tex]

Learn more on ratios here;

https://brainly.com/question/1781657

Help with finding out if an equation has multiple solutions.

Answers

Answer:

Exactly one solution.

Step-by-step explanation:

When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.

Answer:

B

Step-by-step explanation:

23y+50+27y=50y+50

find your same like terms and solve

23y+27y+51y

51y+50=50y+50

51y +50y=50+50

you would be left with one solution

101y=100

Eemil is training for a marathon. The ratio of the number of minutes to the number of miles they run is 30 to 3. At this rate, how many minutes will it take Eemil to run the race (26.2 miles)?

Answers

30/ 3 = 10
10 * 26.2 = 262
262 Minutes——> 4.37 hours

what are the missing blanks?

Answers

Answer:

1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)

4 - 10

6 - 15

14 - 33

Step-by-step explanation:

Verify that - (-x) = r for

(1). x =2/15

(2).x=-13/17​

Answers

Answer:

1.-(-2/15)=2/15

2.-(-13/17)=13/17

Step-by-step explanation:

22% as a fraction in it lower form

Answers

Answer:

11/50

Step-by-step explanation:

22% = 22/100 = 11/50

11/50 cannot be reduced further.

how do you find the height of a cylinder? ​

Answers

The values of the radius and volume are placed in the formula to get the volume of the cylinder

V/ πr2

hope it helps.

Answer:

[tex]H = \frac{V}{\pi r^{2} }[/tex]

Step-by-step explanation:

So long as you have the volume and radius of a cylinder, it should be easy!

Simply divide the volume (V) of the cylinder by Pi Radius Squared ([tex]\pi r^{2}[/tex]).

That is the formula for finding the height of a cylinder!

I hope this helped!

find the area of the polygon​

Answers

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of ​​the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of ​​the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of ​​the triangle from the rectangle and we have the area of ​​the figure: 800 - 16 = 784m^2

The scatterplot shows the height in centimeters and weight in kilograms of several students. Student Weight and Height, Height, centimeters, weight, kilograms Based on the scatterplot, which is the best prediction of the height in centimeters of a student with a weight of 64 kilograms?

Answers

The scatterplot shows that the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm.

What is a scatterplot?

It should be noted that a scatterplot simply means a type of data display which shows the relationship between two numerical variables.

From the complete question, the prediction of the height in centimeters of a student with a weight of 64 kilograms is 156cm. This was illustrated in the scatterplot.

Learn more about scatterplot on:

https://brainly.com/question/6592115

marios rental store charges a one time fee of $18 and then $6 per movie.Luigi's rental store charges $9 per movie. How many movies must be rented for the total cost of the two stores to be equal

Answers

answer: 6 movies

explanation: make the equations equal each other. 18+6m=9m. subtract 6m from both sides leaving you with 18=3m. then divide both sides by 3 (18/3 = 3m/3) and you’re left with 6=m.
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