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
Citrus2011 [14]
3 years ago
12

Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer:

m∠DEA = 62°

m∠ADB (arc) = 194°

Angle ∠ADB   = 21°.

Step-by-step explanation:

The given information are;

AB\left |  \right |DC, m CB (arc) = 62°, m∠DAB (arc) = 104°

arc∠BCD = 360° - 104° = 256°

m DC (arc) = arc∠BCD - arc CB = 256° - 62° (Sum of angles)

Therefore DC (arc) = 194°

m DA ≅ m CB =  62° (Parallel lines congruent arc theorem. Arc between two parallel lines)

m∠DEA = 1/2×(arc DA + arc CB) = 1/2×(62° + 62°) =62°

m∠DEA = 62°

Arc AB = m∠DAB (arc) - m DA = 104° - 62° = 42°

m∠ADB (arc) = 360 - m∠DAB (arc) - m CB (arc) (Sum of angles around a circle or point)

∴  m∠ADB (arc) = 360 - 104 - 62 = 194°

m∠ADB (arc) = 194°

Angle ADB = subtended by arc AB = ∴1/2×arc AB

Angle ∠ADB  = 42/2 = 21°.

Angle = 21°

You might be interested in
Beach towels are on sale for $1.50 off the regular price. Ms. Ortiz buys 4 beach towels on sale for a total of $33.96. Write and
Nadya [2.5K]

Answer:

9.99

Step-by-step explanation:

(33.96/4)+1.5

3 0
3 years ago
Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
2 years ago
The division of whole numbers is commutative. true or false?
AURORKA [14]
'Commutative' means you can work it in the other direction without changing it.
But 1/2 is not the same number as 2/1 . So I guess division is NOT commutative.
3 0
3 years ago
PLEASE HELP!!!!!!!!!!!
krok68 [10]
Its the red one bc its between 1 and 12
7 0
3 years ago
Is .444 rational or irrational???
Murljashka [212]
Any terminating decimal number is rational.
A rational number is a number that can be written as a fraction of integers.

0.444 = 444/1000 = 222/500 = 111/250

0.444 is the same as 111/250, a fraction of integers, so 0.444 is rational.
6 0
3 years ago
Other questions:
  • What is this answer and show your work like in that picture
    8·1 answer
  • How to solve x + 5y = 8x - 20
    9·1 answer
  • Find the range of the given data set.<br> 5/8, 3/4, 1 1/8, 1 1/4
    11·2 answers
  • A rectangle living room is getting new wood floors the flooring is priced at $5.86 per square foot plus a 800$ insulation fee th
    6·1 answer
  • How do I find arc mSQ
    8·1 answer
  • What is the 12th term of the linear sequence below?<br> 7,9,11,13,15
    14·2 answers
  • WILL GIVE BRANLIEST HELP PLEASE!
    13·1 answer
  • A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into the tank at 6 gallons per min
    15·1 answer
  • If there is no sign between a number and a letter in an expression, what does that imply?
    14·2 answers
  • What is a material that interacts with living systems
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!