Answer:
The correct option is 3. The measure of arc AD is 100°
Step-by-step explanation:
Given information: BD is a diameter, ∠1 = 100° and arc BC=30°.
The central angle of an arc is the measure of arc.
From the given figure it is clear that the central angle of arc AD is equal to the angle 1.
It is given that ∠1 = 100°
The measure of arc AD is 100°, therefore the correct option is 3.
Answer:
The measure of x is
Step-by-step explanation:
we know that
The formula to calculate the sum of the internal angles of a polygon is equal to
where
n is the number of sides
In this problem we have
substitute
Find the measure of each internal angle
Divide the sum of the internal angles by the number of sides
The value of x is half the measure of internal angle
so
Answer:
P( top two horses are predicted incorrectly in incorrect order)
=
Step-by-step explanation:
In the horse race the outcome can be predicted in 5! = 120 ways.
Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the top horse can be predicted incorrectly in 4 ways.
Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5
so the second horse can be predicted to be in place from 1 to (k - 1)
So, the top two horses can be predicted incorrectly in incorrect order
in = 10 ways
and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.
Hence ,
P( top two horses are predicted incorrectly in incorrect order)
=
=
The pink is and the purple is
. Have a great day!
