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

One number is twice another number. The sum of their reciprocals is 6. What are the numbers?

Answers

Answer:

8 and 2

Step-by-step explanation:

Answer:

1/4 and 1/2

Step-by-step explanation:

One number is twice another number.

x and 2x

The sum of their reciprocals is 6

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6

Use common denominator of 2x

[tex]\frac{2}{2x}[/tex] +  [tex]\frac{1}{2x}[/tex] = 6

[tex]\frac{3}{2x}[/tex] = 6

multiply botn sides by 2x

3 = 12x

Divide both sides by 12

1/4 = x

x = 1/4

2x = 1/2

The numbers are

1/4 and 1/2

Nadia charges $6.00 an hour for babysitting. She babysits 17.50 hours the first week of the month and 21 hours the second week of the month.


Suppose Nadia raises her rate by $0.60 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month?


Complete the explanation and give your answer.

Answers

Answer:

35 hours

Step-by-step explanation:

She would need to work for 35 hours.

She earned $250.25 total the first two weeks, so divide that by the new rate per hour, $7.15, to get the 35 hours.

Answer:

35 hours

Step-by-step explanation:

In the first month she worked for 38.5 hours

Multiply that by $6 and we that she made 231 dollars

231 divided by here new rate of $6.60 would be 35 hours

Please mark brainliest

30 - 6 (x + 3) + 2x = 8

Answers

Answer:

I believe the correct answer would be the first X=1 and the second X=1

Basically they both equal 1

Answer:

X=1

Step-by-step explanation:

ANSWER PART B


Sia designs a board game in which a card is drawn on each turn.

• A blue card means move forward 4 squares.
• A red card means move back 6 squares.

Liam suggests adding some other cards to Sia's game

Part A
Liam explains that drawing a yellow card is equivalent to drawing a blue card followed by a red card. How many spaces forward or backward does a player move after drawing a yellow card? Justify your answer.

ANSWER PART B


How could Liam use red, blue, and yellow cards to describe each of the following motions? Write equations to support your answer. • A green card means move forward 2 spaces. • An orange card means move 8 spaces backward. • A purple card means move forward 10 spaces.

Answers

Answer:

Answer:Back 2

Step-by-step explanation:Blue + Red=-2

Step-by-step explanation:

4d=12 solve for the variable

Answers

Answer; d=3
Let me know if you need an explanation!

PLEASE HELP!
Please give me the correct answers! No links, please! If you do not know the answer please don't put anything down, Thank you!!!

Answers

Answer:

All of the above

Step-by-step explanation:

Answer:

All of the above

Step-by-step explanation:

Rational numbers that can be expressed as the fraction

It is a integer

a repeating non-terminating decimal

terminating decimal

-275[tex]\frac{1}{2}[/tex] --- this is a integer fraction -- rational

0 -- this is a whole number -- rational

56 --- natural number -- rational

34243.84 -- terminating decimal -- rational

-88/3 -- integer fraction -- rational

therefore all of the above are rational numbers

What is the area of this triangle

Answers

Answer:

A = 18 in²

Step-by-step explanation:

The area of a triangle can be calculated using the formula A = (bh)/2

where b = base length and h = height

Fortunately for us, the variables are already defined and given to us in the problem

All we have to do is plug in the values of h and b into the formula for area of a triangle

A = (bh)/2

b = 3 and h = 12

A = ((12)(3))/2

multiply 12 and 3

A = 36/2

divide 36 by 2

A = 18 in²

3 feet in 4 mintes
A.______________
B.______________ per 16 minutes

Answers

Answer:

B. 12 per 16 minutes

Step-by-step explanation:

4x4=16, so multiply 3×4 to get 12.

A political strategist surveyed 100 people asking
their opinion about a new proposal. The results
are summarized in the contingency table.

Answers

Answer:

A) 24

B) 12

C) 54

Step-by-step explanation:

a+33=57

a=57-33

a=25

b+19=31

b=31-19

b=12

c=33+12+9

c=45+9

c=54

The value of A , B and C is 24, 12 and 54 respectively.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total= Men + Women

First, 57 = A + 33

A= 57- 33

A= 24

Second, 31 = 19+ B

B= 31- 19

B = 12

Third, 100= 46+ C

C= 100- 46

C= 54

Hence, the value of A , B and C is 24, 12 and 54 respectively.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Ms. Tyson has a part time job selling cars. She earns a commission of 0.6% on all her sales. If her sales for last week was $281,634 how much was her commission check?

Answers

Based on the information given her commission check is $1,689.8.

Using this formula

Commission check=Commission earned× Sales

Where:

Commission earned=0.6% or 0.006

Sales=$281,634

Let plug in the formula

Commission check= 0.006×$281,634

Commission check=$1,689.8

Inconclusion  her commission check is $1,689.8.

Learn more here:https://brainly.com/question/24030244

solve for a. 15-a/12=22

Answers

Answer:

15-22=a/12

-7=a/12

12(-7)=a

-84=a

Step-by-step explanation:

Whats 16 x 32 what does it equal

Answers

512 16 times 32: 512

whats the GCF of 77 and 55

Answers

Answer:

GCF= 11

Step-by-step explanation:

Which of these is not an improper fraction? A 5/5 B 40/30 ​​ C 934/85 D 3/7

PLEASE HELP !!!!!

Answers

The answer is D hope it helps

Answer:

D and I think it is correct since it has a fraction whose numerator is less than the denominator good luck hope you pass

I Jose' Altuve is currently hitting 2 home runs for each 25 times at bat. If he continues at this rate, how many home runs will he hit in a season in which he bats 550 times?​

Answers

Answer:

44 home runs

Step-by-step explanation:

550 ÷ 25

= 22

22 x 2

= 44

Find the values of x and y

Answers

Answer:

X=20

Y=70

Step-by-step explanation:

All angles within a triangle add up to 180

180 - 40 = 140

140 is the top angle of the big triangle

140 + x + x = 180

x = 20

Now use x to find y by subtracting from the right angle (90 degrees)

90 - 20 = 70

70 + 40 + y = 180

Y = 70

pls give ans for the following image

Answers

Answer:

7 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

The reciprocal of 8 is [tex]\frac{1}{8}[/tex]

The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex]  = 7

sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]

Beth has 6 blue envelopes. She has 2 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does Beth have in all?
PLEASE ANSWER MY LITTLE SISTER DOESN'T TRUST ME WITH THE REAL ANSWER PLSSSSSS

Answers

Answer:

38

Step-by-step explanation:

No. of yellow envelopes she has

= 6-2

= 4

No. of green envelopes she has

= 7×4

= 28

Total number of envelopes she has

= 6+4+28

= 38

Does anyone have the pages 8,9,10,12 in the Dimensions Math 7A Workbook?
PLEASEE!!!! I forgot my book at school and is due in an hour

Answers

Answer:

there

Step-by-step explanation:

1

Calculate ������(������) when ������(������)=⟨6������−1,−1,3������⟩.

Answers

Answer:

3.7

Step-by-step explanation:

Which of the points shown below are on the line given by the equation y = 5x?
Check all that apply.
B
D
A
O A. Point A: (5, -1)
DB. Point B: (1,5)
C. Point C:(0,0)
D. Point D: (-3,2)

Answers

Point B and Point C.

Hope this helped!!! :)

Explain well and I’ll mark brainliest

The mean of 79, 76, 55, 20, 14, 68, 30, 29, and is 52. Calculate the missing
value.

Answers

add all values together which is 371
and all the numbers plus one more is 8
which means 52x8 would be the total sum of all the numbers which is 416
so 416-371 is the last value which is 45

Answer:

Step-by-step explanation:

The mean of an equation is the average of it. For example, if I take 3, 4, and 5 and I want to find the average of it, I would add them up (12) and then divide by 3, because there are 3 terms. So the mean of 3, 4, and 5 is 4. Now in your equation, you must find another number. 79, 76, 55, 20, 14, 68, 30, 29 added up is 371. Now, because there are 8 terms, I would divide 371/8. 371/8=46.38.

I am not done. I must find the missing value. I am going to use the process of elimination to solve.  I hav etried all numbers in my calcualtor that equal a high number, and then got 468. I then divided 468 with a 97 and got 52. 52 is the Missing value.

a line has a slope of m=-2 and the point (3, -1) lies on the line.what is the represent the equation of the line in point slope form

Answers

Answer:

Step-by-step explanation:

To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10.

Please simplify
(6-√-16)+(-4+√-25)

Answers

Answer:

2+i

Step-by-step explanation:

Solve the system by substitution: y = 4x - 6
y=5x

Answers

Answer:

y=4x-6

5x=4x-6 {putting y =5x}

5x-4x=-6

x=-6

Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?

243/15
11
-15/243
33​

Answers

From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.

The average rate of change of a function p(x) over an interval [a,b] is given by:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].

The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].

Hence:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

[tex]A = \frac{204 - 39}{20 - 5}[/tex]

[tex]A = 11[/tex]

The average daily change in the share price from d = 5 to d = 20 is of 11.

A similar problem is given at https://brainly.com/question/20732437

an angle measuring between 90 and 180 is called__

Answers

Answer:

A) obtuse angles

Step-by-step explanation:

Options:

A.obtuse

B.acute

C.straight

D.small

Correcr Answer A) obtuse

(Hope this helps can I pls have brainlist (crown)☺️)

plz help due soon

Aurelia buys a dress that costs $40.00. She pays 6% sales tax. How much does she pay for the dress with tax?​

Answers

Answer:

D

Step-by-step explanation:

6% of 40 is 2.4, 40.00+ 2.40=42.40

Answer:

42.50

Step-by-step explanation:

40X1.06

42.40

Someone please solve and explain part a(i)

Answers

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

What is the value of 8 + z, when z = 5?
0 5
0 3
O 12
O 13

Answers

Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

[tex]8+z=?[/tex] when z=5

[tex]8+5=13[/tex]

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