Answer:
(a) ∠DAB = 59°
(b) ∠A = 135°
(c) ∠A = 99°
Step-by-step explanation:
<u>Theorem</u>: If a quadrilateral is inscribed inside a circle, then the opposite angles of the quadrilateral are SUPPLEMENTARY.
So, here in the given figures:
(1) ∠DCB + ∠DAB = 180° (as opposite angles are supplementary)
⇒∠DAB = 180° - 121° = 59°
or, ∠DAB = 59°
(2) ∠DCB + ∠DAB = 180° (as opposite angles are supplementary)
⇒(3x+6) + (x+2) = 180° or, 4x = 180 - 8 = 172
⇒ x = 172/4 = 43, or x = 43
So, ∠A = (3x+6) = 3(43) + 6 = 135°
(3) (28) + (x) = 180°
or, x = 180 - 28 = 152
So, ∠A = (x- 36) = 135 - 36 = 99°
(4)
Answer:
see explanation
Step-by-step explanation:
Calculate AC and AB using the distance formula
d = 
with (x₁, y₁ ) = A(1,8) and (x₂, y₂ ) = C(4,2)
AC = 
= 
= 
=
=
= 3
Repeat with
(x₁, y₁ ) = A(1, 8) and (x₂, y₂ ) = B(2, 6)
AB = 
= 
= 
= 
So AB =
and AC = 3
Thus
AC = 3AB
Answer:
Need more info
Step-by-step explanation:
You're working with rates. It's relatively straight forward. Take miles per hour for instance. If you travel 60 miles in one hour, you're rate of speed is 60 miles per hour.
You haven't given any data in this example but the idea is the same. Let's say he transferred 10 songs in 5 minutes. That's means his rate is 10 songs per 5 minutes. You can change that to a fraction so it's easier to understand:

Now just reduce the fraction and it becomes

Also known as 2 songs per minute
Answer:
A, 12.5
Putting them in order was this:
10, 11, 11, 11, 12, 13, 13, 15, 15, 17
and the median is between 12 and 13, which is 12.5
(Hope that helps you. ^^)
What do you need help with I cant help if I don't know what problems to solve