If m∠2=6x+8 and m∠6=8x-6, find the value of x so that l||m.

If M2=6x+8 And M6=8x-6, Find The Value Of X So That L||m.

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.

[tex]m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x[/tex]


Related Questions

Question is on picture attached

Answers

Answer:

Both triangles are congruent.

so 30/36 = 5/6 = 0.83333333333...

35/x  should also be 0.83333333333.. so 35/0.83333333333.. is x

x = 42

Find the slope of the line that passes through (7,1) and (6,8)

Answers

Answer:

-7

Step-by-step explanation:

[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7

Choose the graph that matches the inequality ­–x + y ≥ 2

Answers

Answer:

D

Step-by-step explanation:

-x + y >= 2

first of all, it means it includes the line (the "=" part).

that eliminates B and C.

then just look at the line function itself :

-x + y = 2

y = x + 2

and now

y >= x + 2

so, everything above the line (and again including the line), as every y value greater than or equal to the result of the line function is valid.

The required graph has been attached below which represents the given inequality ­–x + y ≥ 2. which is the correct answer that would be an option (D).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question below as

–x + y ≥ 2

First and foremost, it signifies that it includes the line (the "=" element).

This rules out B and C.

Then evaluate the line function itself:

-x + y = 2

y = x + 2

and now

y ≥  x + 2

As a consequence, anything above the line (and including the line) is legitimate, as is any y value larger than or equal to the result of the line function.

Thus, the required graph has been attached below which represents the given inequality ­–x + y ≥ 2.

Hence, the correct answer would be an option (D).

Learn more about the inequalities here:

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HELPPP!!!! Both questions are incredibly confusing to me !!!!!

Answers

Answer:

Step-by-step explanation:

I'm going to start with problem 3. You need to become familar with the kind of tricks teachers play on you.

Problem 3 depends on getting RS = RW.

RT = RT                                    Reflexive property

<STR = <WTR                           A straight line having 1 rt angle  actually has 2

ST = TU                                    They are marked as equal

Triangle STR=Triangle WTR    SAS

RS = RW                                    Corresponding parts of = triangles are =

8x = 6x + 5                                Subtract 6x from both sides

8x -6x = 6x - 6x + 5                   Combine

2x = 5                                         Divide by 2

2x/2 = 5/2

x = 2.5

RU = 6*2.5 + 5

RU = 15 + 5

RU = 20

Now we can play with Question 4.

This question depends on the method used in three, although not entirely.

What you need to know is that W is on RT when you take a ruler and make RT longer. You can put W anywhere as long as it is on RT when it is made longer.

Directions

Make RT longer. Draw down and to your right.

Put a point anywhere on the length starting at T. Label this new point as W. There's your W. It goes anywhere on the part of RT made longer.

Draw UW.

Label UW as 8

Now draw another line from S to W. Guess what? By the methods used in question 3, it's also 8. So SW = 8

TW = TW                        Reflexive

<UTW = STW                 Same reason as in 3. UtW is a right angle

UT = ST                          Given (the marking tells you so.

ΔUTW = ΔSTW              SAS

UW = SW                       Corresponding parts of = triangles are =

SW  = 8

been working on this for a while and can’t figure it out, can someone help?

Answers

Answer:

x = 24 4/5

Step-by-step explanation:

Simply reverse this - add 20 to 4, and 3/5 to 1/5, and you have X.

what is 6.30 divided by 18

Answers

The answer is 0.35, you could easily search it up on a calc and i just wanted to answer for points

Answer:

6.3/18 = 0.35

Step-by-step explanation:

0.35 is your answer

A. complete the table if y varies directly as x or x

Answers

Answer:

If Y = X

then you X and Y should be congruent to each other.

Step-by-step explanation:

1. what is the inverse of f(x) = x+9/10x-1?
a. 10x-1/x-9
b. x-9/10x+1
c. x+9/10x-1
d .2x+9/5x+1



#mathematics

Answers

Answer:

A OPTION IS THE INVERSE OF YOUR QUESTION

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?

Answers

Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

Please help me with this equation, the values are in the file

x + B = Fx - Dx + H

Answers

Answer:

x = -6

Step-by-step explanation:

B = 2

F = 6

D = 4

H = 8

x + B = Fx - Dx + H

x + 2 = 6x - 4x + 8

x + 2 = 2x + 8

-x = 6

x = -6

Answer:

f=1+xb+dx−h

my answer to your question

If the radius of a circle equals 20 cm find its circumference correct to one decimal place

Answers

Answer:

125.66

Step-by-step explanation:

i don't get the one decimal place part but there your answer

The answer is 125.7 correct to one decimal place

Pleaaaaaaaaaaaaaaaaaaaaaaase help me

Answers

Ruler 1 and Ruler 2 show 2.5 cm in length

Answer:

It would be the first one

Step-by-step explanation:

Start at 0 and the end shows 2.5

How would you write 32 as a Roman numeral?

Answers

Answer:

XXXII

Step-by-step explanation:

The number 30 as a roman is XXX and the number 2 as a roman is ll. So the answer is XXXII

- Your welcome ;)

After a baby was born, she began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 12 pounds. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth.

Answers

What we know:

The baby gains 1.5 pounds per month.

Its weight at birth is 12 pounds.

Therefore, when looking to find the weight after t time, we have to take the constant and the rate of change and place them into the equation. This means our equation will look something like this:

W(t) = Rate of Change x number of months + weight at birth.

Or

W(t) = 1.5(t) + 12

So if in 4 months we look at the weight, the baby will be:

1.5 (4) + 12 = W(t)

6 + 12 = W(t)

18 = W(t)

After 4 months the baby is 18 pounds.

Answer: W(t) = 1.5(t) + 12

I hope this helps! :)

help me please with math prob

Answers

Answer:

box number 2 is 2. box number 3 is 7. box number 1 is product or sum

Jin schedules 496 hours for a project. He plans to work 8 hours each day. How many days will it take to complete the project?​

Answers

Answer:

62 days

Step-by-step explanation:

496/8 = 62

496/8=62

Hope this helps!

What is the measurement of this angle?

Answers

The measurement of all angles is 180, so just subtract the other two angles from 180

180 - 59 - 67 = 54 degrees

Answer:

54°

Step-by-step explanation:

All the angle measures of a triangle must add up to equal 180°. So,

59°+67°+x°=180°

x=54°

Find the constant(s): 12x - 8 - 12​

Answers

Hello there!

-8 and -12 are constants

A constant is any real number.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Mamadou is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 27 ∘ ∘ . If the string from the kite to his hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

The height of the kite above the ground is 36.8 ft

Let x be the height of the kite above Mamadou's hand.

Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that

sin27° = x/75

Making x subject of the formula, we have

x = 75sin27

x = 75 × 0.4540

x = 34.05 ft

Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y

Substituting the values of the variables into the equation, we have

h = x + y

= 34.05 ft + 2.75 ft

= 36.8 ft

The height of the kite above the ground is 36.8 ft

Learn more about height of kite above ground:

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Α. y- 2 = 2(x- 3)
Β. y- 3 = 2(x- 2)
C. y- 1 = 2(x- 9)
D. y- 9 = 2(x-1)​

Answers

Answer:

c.

Step-by-step explanation:

28.5 is 30% of what number

Answers

Answer:   28.5 is what percent of 30? = 95.

Step-by-step explanation:

In a muncipality ,Two of the most well-known activities for teenagers are biking and motorcycling riding.Out of 100 teenagers,58 in biking,42 like motorcycling and 18 like both

a.create a veen diagram represent the problem​

Answers

Answer:

See below

Step-by-step explanation:

Given:

Total number is 100Biking = 58Motorcycling = 42Both = 18

Biking only:

58 - 18 = 40

Motorcycling only:

42 - 18 = 24

Neither:

100 - (40 + 18 + 24) = 18

Venn diagram consists of:

Biking |  Both (Intersection) | Motorcycling  |  Neither (outside of circles)

  40                   18                         24                             18

Evaluate a+b+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a fraction in simplest form.

Answers

2 I got the one that was in my room and I’m going on a black screen and then I’m watching one

After solving the given expression, the value obtained from it in form of simplest fraction is equal to 5.1/8.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given data in the question,

a = 7/8

b = -7/16

c = 0.8 and

d = 1/4

And the equation is a+b+cd

7/8 + (-7/16) + (0.8)(1/4)

7/16 + 0.2

= 10.2/16

In simplest form, it is written as 5.1/8.

To know more about expression:

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A pet store had thirty-one siamese cats and forty-nine house cats. During a sale they sold
sixty-one cats. How many cats do they have left?

Answers

Answer:

19

Step-by-step explanation:

31 + 49 = 80

80 - 61 = 19

An item is regularly priced at $55. Miguel bought it at a discount of 65% off the regular price

Answers

Answer:

$35.75 is the discount price.

Step-by-step explanation:

0.65 x 55 = 35.75

A circle with a circumference of 6 has an arc with 20 central angle

Answers

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

A rectangle has an area of 888 square centimeters.
Which of the following could be the rectangle's length and width?

Answers

Answer:

i think 222 for eatch side

Step-by-step explanation:

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?​

Answers

Answer:

We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.

Step-by-step explanation:

The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).

Please help me marking brainless

Answers

Answer:

9/12 & 5/12

Step-by-step explanation:

You can easily multiply 4 (the denominator of the 1st fraction) by 3, which is 12

Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui

Answers

Answer:

m

Step-by-step explanation:

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