3. Find MZADB
4. Find mzABD
5. Find mZAFE
6. Find mZACE

9514 1404 393

  3. 41°

  4. 90°

  5. 70°

  6. 31°

Step-by-step explanation:

The relevant relationships are ...

__

3. ∠ADB = 1/2 arc AB = 82°/2 = 41°

__

4. ∠ABD = 1/2 arc AED = 180°/2 = 90°

__

5. ∠AFE = 180° -arc AE = 180° -(180° -70°) = 70°

__

6. ∠ACE = 1/2(arc AE -48°) = 1/2(110° -48°) = 62°/2 = 31°

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.