1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sineoko [7]
3 years ago
11

For which value of x is line l parallel to line m?A. 28B. 62C. 22D. 68​

Mathematics
1 answer:
Rudiy273 years ago
3 0

For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.

So, we can write that,

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

\large{ \boxed{ \bf{ \red{x = 22 \degree}}}}

And we are done !!

#CarryOnLearning....

<u>━━━━━━━━━━━━━━━━━━━━</u>

You might be interested in
45 + 9/4 + 4 + 12/20
Natalija [7]

45 + 2.25 + 4 + 0.6 =

45 + 6.85 =

51.85

6 0
3 years ago
Read 2 more answers
A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c
Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

\dfrac{120000}{20000}\\\\=\$6

Margin contributed by 2000 guests would be

1.50\times 20000\\\\=\$3000

So, Revenue function would be

6x+3000

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

\dfrac{90000}{20000}\\\\=\$4.5

So, Cost function would be

4.5x+50000

Breakeven point would be

Cost function = Revenue function

6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0
4 years ago
On the map the scale is 1 inch=125 miles. What is the actual distance between the two cities if the map distance is 2 3/4 inches
ss7ja [257]
291.6 or rounded 292 miles
7 0
4 years ago
Read 2 more answers
Michael's babysitting is 20 years old. Michael is 8 years old. How much older is his babysitter than Micheal?​
iogann1982 [59]

Answer:

12 years

Step-by-step explanation:

20-8=12

Micheal's babysitter is 12 years older than Micheal.

8 0
3 years ago
Which ordered pair is a solution of the equation? y-3=5(x-2) A.) (2,3) B.) (3,2) C.) Both D.) Neither
White raven [17]

Answer:

A is the only solution.

Step-by-step explanation:

A simple way to solve it is to plug in the x and y values

For A, we plug in 2 for x and 3 for y

3-3=5(2-2)

0=5(0)

0=0

Ordered pair A is a solution

For B, plug in 3 for x and 2 for y

2-3=5(3-2)

-1=5(1)

-1 does not equal 5

Therefore only A is a solution

5 0
3 years ago
Other questions:
  • (x-y)/(2)+(7y)/(3)=5
    10·1 answer
  • What is the missing angel in the triangle 37,90,
    14·1 answer
  • In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10 people, where the bride and the gr
    6·1 answer
  • A graph is shown below: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 4,
    11·1 answer
  • A poll finds that 54% of the 600 people polled favor the incumbent. Shortly after the poll is taken, it is disclosed that the in
    6·1 answer
  • Write a linear inequality to represent the information given. The total fees for the high school play are
    6·1 answer
  • Chloe is trying to find three consecutive, positive integers such that six times the largest is equal to the twice sum of the tw
    9·1 answer
  • The relation R is shown in the table below
    9·2 answers
  • HELP ASAP!!! ∠BPA is equal to 30°. Find the length of BP.
    15·1 answer
  • A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!