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
Ne4ueva [31]
3 years ago
6

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. I need both answers.

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0

Answer:

1) x = 14°, y = 5°

2) x = 18.5°, y = 37°

Step-by-step explanation:

1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°

∠MOD = ∠MOB + ∠BOD = 90°

3x + 23° + 25° = 90°

3x = 90° - 23° - 25°

x = 42°/3

x = 14°

∠LOB = ∠LOM + ∠MOB = 90°

5y + 3x + 23° = 90°

5y = 90° - 23° - 3(14°)

y = 25°/5

y = 5°

2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°

∠EOB = ∠EOD + ∠DOB =  90°

2y + 16° = 90°

y = (90° - 16°)/2

y = 37°

∠DOF = ∠BOF + ∠DOB =  90°

4x + 16° = 90°

x = (90° - 16°)/4

x = 18.5°

You might be interested in
6x+6=-5+3x+17<br><br> I need help
yanalaym [24]

Answer:

Get all the terms with x on the left. Get all the terms without x on the right. Simplify by adding and subtracting the terms without x and adding and subtracting the terms with x. Finally divide to get the value of x.

Step-by-step explanation:

6x+6 =- 5+3x+17

6x+6 -6 =- 5+3x+17 -6

6x = 5+3x+11

6x = 3x + 16

6x - 3x = 3x + 16 -3x

3x = 16

3x / 3 = 16 / 3

x = 15/3 + 1/3

x = 5 1/3

x = 5.33333...

4 0
2 years ago
Which equation represents the scentence.
vovangra [49]
Six less the number n - 6= n/2
4 0
3 years ago
Givin (2, 4) and 6, 12), what is The slope of the line between these two points?
IgorLugansk [536]

Answer:

m=4 or slope =4

Step-by-step explanation:m=\frac{y2-y1}{x2-x1\\}

so m=\frac{12-4}{6-2} which is the same as 8/2. So all in all the slope is 4.

5 0
2 years ago
If y = 124 and x = 12, find y when x = -24.
tatyana61 [14]

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

\displaystyle\frac{124}{12} =\frac{y}{-24}

Cross-multiply:

12y=(-24)(124)\\12y=-2976\\y=-248

I hope this helps!

7 0
2 years ago
Microsoft wanted to increase the average length of time consumers spend playing their games during a gaming session. They found
Alecsey [184]

Answer:

The answer is "Yes".

Step-by-step explanation:

In this question, the answer is "yes" because as the sample group of 50, it is now under the population size of 10 percent, and Often the random sample is less than 30. It doesn't require the standard deviation, and for each of the samples it was selected randomly, therefore randomization becomes achieved.

5 0
2 years ago
Other questions:
  • a map has a scale of 1 cm = 29 km. if the two cities are 11.94 cm apart on the map, what is the actual distance between the two
    12·1 answer
  • the ratio of cookies to glasses of milk is 3:1.if there are 25 glasses of milk, how many cookies are there​
    9·2 answers
  • Which has the greater energy, light of wavelength 519 nm or light with a frequency of 5.42 x 10^8 sec^-1?
    11·1 answer
  • Please help if you know trigonometry ;)
    7·2 answers
  • Bus Stop #2:
    10·2 answers
  • PLEASE HELP&lt;3
    5·1 answer
  • How do you do the probability section?
    5·1 answer
  • The bike you have been saving for is discounted 15%. You have $600 saved to purchase it. The original, non-discounted price of t
    10·1 answer
  • Help me pls <br> Find the sum.<br> (2w-9)+(-4w-5)
    9·2 answers
  • A moving walkway at the airport moves at a pace of 1.8 feet per second. If you stand on the walkway as it moves, how long will i
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!