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
GaryK [48]
2 years ago
15

Save Work out the size of angle AED. b) Work out x

Mathematics
1 answer:
Mamont248 [21]2 years ago
8 0

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

   Therefore, in cyclic quadrilateral ABDE,

   m∠ABD + m∠AED = 180°

   110° + m∠AED = 180°

   m∠AED = 180° - 110°

                 = 70°

b). AD = ED [Given]

   m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

   m∠EAD = m∠AED = 70°

   By triangle sum theorem in ΔABD,

   m∠BAD + m∠ABD + m∠ADB = 180°

   m∠BAD + 110° + 40° = 180°

   m∠BAD = 180 - 150

                 = 30°

    m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

    m∠AEB = 70° + 30°          

                  = 100°

    By triangle sum theorem in the large triangle,

    x° + m∠AEB + m∠EAB = 180°

    x° + 100° + 70° = 180°

    x = 180 - 170

    x = 10°

You might be interested in
Find the amount of time. <br> 8. I = $2000, P = $5000, r = 8%
algol [13]

Answer:

t = 5 years

Step-by-step explanation:

I = $ 2000

P = $ 5000

r = 8%

I = P * \frac{r}{100}*t\\\\t =\frac{ I * 100}{P*r}\\\\t =\frac{2000*100}{5000*8}\\\\ = 5

5 0
3 years ago
Help me please !!!!!!
kirill115 [55]

Answer:

The y-int represents the base price of $200 for airfare from NYC

The slope represents a cost of 30 cents per mile traveled

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x

If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x

5 0
3 years ago
Olga simplifies the expression x + 7x to 7x2. Use the drop-down menus to complete the statements below to explain why Olga's sol
Tcecarenko [31]

Answer: Olga's solution is incorrect

x + 7x is the same as 1x + 7x

7x2 is the same as 7x. x

x + 7 x simplifies to 8x


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Which expression is even for all integers a and b?
Irina18 [472]
Do u have a problem that went with this?

3 0
3 years ago
Read 2 more answers
The value of y varies directly with x. If x = 7, then y = 15.
Alona [7]

Answer:

5

Step-by-step explanation:

mark me brainliest plz

8 0
3 years ago
Read 2 more answers
Other questions:
  • HELP
    15·1 answer
  • How do you add 5x/2x-16 + 2/x^2-64
    7·2 answers
  • If cos theta = -4/7 what are the values of sin theta and tan theta?
    11·1 answer
  • - 10x - y = 27<br> - 4x - y = 9<br> Find the solution of the system equation.
    5·2 answers
  • LA plane is trying to travel 250 miles at a bearing of 20° E of S, however, it ends 230 miles away from the
    5·1 answer
  • EXTRA POINTS
    14·1 answer
  • 7(5f-3n)-8 use n=3 and f=7​
    6·2 answers
  • (there's two parts to it)
    13·1 answer
  • The equation 12.5(x + 20) = 460 describes Steve's exercise plan for the
    10·1 answer
  • **Ms. Soffer paid $42.75 for 9 boxes of gummies for the state test last year. This year she will need to order 13 boxes of gummi
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!