Given:
Center of the circle is O.
A and C are points on the circle.
Solution:
Question 1.
The piece of the circle between the points A and C is called an arc.
Question 2.
AOC is a acute angle. It is located in a center of the circle.
Therefore AOC is a central angle.
Question 3:
The line segment joining center to boundary of the circle is called the radius.
Therefore the line segment OC is a radius of the circle.
The 50th term in the sequence is 199
Arithmetic sequence
The nth term of an arithmetic sequence is expressed as:
Tn = a+ (n - 1)d
where:
- a is the first term
- n is the number of terms
- d is the common difference
The sequence formed by the amount of Whatchamacallits produced as;
3, 7, 11, 15...
a = 3
d = 11-7 = 7-3 = 4
Substitute
Tn = 3 + (n-1) * 4
Tn = 3 + 4n -4
Tn = 4n - 1
Hence the explicit formula that models the production for the nth term of the sequence is Tn = 4n - 1
If n = 50
T50 = 4(50) - 1
T50 = 199
Hence the 50th term in the sequence is 199
Learn more on sequence here; brainly.com/question/6561461
Answer:
(-6,8)
Step-by-step explanation:
2x + 9y = 60
-9x + y = 62 --> y = 9x + 62 --> 2x + 9(9x + 62) = 60 -->
2x+ 81x + 558 = 60 -->
83x + 558 = 60 -->
83x = -498 -->
x = -6 -->
y = 9(-6) + 62 -->
y = 8
AA Similarity Postulate means Angle Angle Congruency which means that <A and <D are both 55° and <B and <E are both 60°
So, to solve for C, since a triangle has a total of 180° you subtract 180-55-60 to get C.
m<C = 65°
Hope this helped :)
Answer:
(A), Nominal.
Step-by-step explanation:
Nominal scale of measurement is used with a type of data when different levels of a particular factor are to be compared. In simple words, the nominal scale is generally used to label the variables. For example, label the eye color as brown, black and other.
In this case the favorite colors can take only labeled names and they are not being used to make the comparison between the colors.
Thus, the correct level of measurement is nominal.
The correct option is (A), Nominal.