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
Please help! Here's the question. I really need it.
Korvikt [17]
Let’s first cut/separate this figure into two shapes: rectangle and a triangle

The area of the rectangle: 9 • 2 = 18
The area of the triangle: 1/2 • 8 • 4 = 16
The total area: 18 + 16 = 34
He needs 34 m square of grass
5 0
3 years ago
The table represents a linear function.<br> What is the slope of the function?
TEA [102]

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or  rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope m of the line joining the points is

m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}

The slope of the function is -4.

3 0
3 years ago
Find the radius of a cylinder with volume<br> 351.9 cubic cm and height 7 cm.
Finger [1]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
C is the midpoint of AD. B is the midpoint of AC. BC= 12. What is the length of AD?
Salsk061 [2.6K]

Answer:

48

Step-by-step explanation:

. .

=12 = ,

12+12=24 =24 = ,

24+24= 48

48

6 0
2 years ago
The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth verte
devlian [24]

Answer:

for example.

Step-by-step explanation:

The three vertices of a parallelogram ABCD, taken in order are A(1,−2), B(3,6) and C(5,10). Find the coordinates of the fourth vertex D.

7 0
3 years ago
Other questions:
  • Complete the square please.
    5·1 answer
  • Dino's diner charges $4 for each sandwich. Carla's café charges $8 for each sandwich. Write the total costs of 1, 2, 3, and 4 sa
    14·1 answer
  • Which ordered pairs make the inequality true?
    6·1 answer
  • I NEED HELP WITH ANGLES!!
    12·1 answer
  • What is the area of a triangle with a base of 8 feet and a height of 6 feet?
    7·2 answers
  • A truck that can carry no more than 6600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
    7·1 answer
  • The quotient of y and 8 is at least 30.
    9·1 answer
  • Solve it : x² *dy/dx = -2y
    5·1 answer
  • 1: How many half miles are in 12 miles?
    14·2 answers
  • Someone please help me with this.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!