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
Yanka [14]
3 years ago
11

Lines l and m are parallel

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
4 0

Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
  • 2x = 30
  • x = 15

m∠ABC = 15°

You might be interested in
Translate the following points 5 units up. <br> (-5, -2) (-2, 1) (-4, -7)
makkiz [27]
(-5, 3) (-2, 6) (-4, -2)
those will be your answers
8 0
3 years ago
. He rowed 3 1/2 miles in 1/2 hour.What is the average speed in miles per hour.
Rudiy27

Answer:

7 miles per hour

Step-by-step explanation:

3 1/2 miles = 7/2 miles

1/2 hours= 30 minutes

So,

In 30 mins, travelled 7/2 miles

In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles

In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.

Hence, the speed is 7 miles per hour.

Hope this helps :)

7 0
2 years ago
A rental car company charges $30 a day plus $0.05 a mile. Which expression could be used to find the cost of renting a car for m
Gnoma [55]

Answer:

C

Step-by-step explanation:

Since the company earns $0.05 for every mile, we would multiply m by 0.05. We also add it with 30 since it is a base charge. This makes it C

It can't be A or B since that would mean the company earns $30.05 for every mile.

It can't be D since that would mean the company earns $30 for every mile with a base charge of $0.05.

6 0
2 years ago
1. A catering company charges $95 plus $12.75 per plate of food. If the cost to cater a party was $656, how many people were at
son4ous [18]

Using arithmetic and the information provided, there were 6 persons at the party.

<h3>Number of people at the party</h3>

The question is asking us to use the cost of the plates served to each person to calculate the number of people in the party from the information available in the question.

  • Normal charge of a plate of food =  $95
  • Additional charge on each plate of food = $12.75
  • Total cost of the party = $656
  • Total cost of food for each person =   $95 + $12.75 = $107.75

Number of people at the party can be obtained from; Total cost of food at the party/ Total cost of each plate of food

=  $656/ $107.75 = 6 persons

Learn more about arithmetic: brainly.com/question/2171130

3 0
2 years ago
The price of a technology stock was   $ 9.69   yesterday. Today, the price fell to $ 9.58 . Find the percentage decrease.
geniusboy [140]
That would be a decrease of 0.11. Or as a rounded percentage 1.14%.
Hope it helps!
3 0
3 years ago
Other questions:
  • A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all
    6·1 answer
  • Which expression is equivalent to 16+2·36?
    12·1 answer
  • The ratio of boys to girls in Ms.cunninghams class is 2 to 3. There are 18 girls in the class what is the total number in ms.cun
    9·2 answers
  • What is the area of the playground? (Look at the picture provided)
    15·1 answer
  • The sum of two integers is -129, if one of them is 150, find the order
    13·1 answer
  • Guess my fav show the people have a web show
    8·2 answers
  • Anyone got the answers for them?
    10·1 answer
  • I NEEED HELP!!!!!<br> find the equation of the line containing (5, -2) and has a slope of -1
    14·2 answers
  • 3,000 + 128 + 350 + 4,038​
    14·2 answers
  • Line segment CD is shown on a coordinate grid:
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!