Answer:
True
Step-by-step explanation:
Answer:
- a) 60°
- b) 80°
- c) 100°
- d) 50°
- e) 30°
Step-by-step explanation:
The key here is that AB ║ EC. This makes arc AE have the same measure as arc BC. Since those have the same measure as AB and the three arcs together make a semicircle, each has measure 180°/3 = 60°.
Then the various arc measures are:
- AB = 60°
- BC = 60°
- CD = 80° (given)
- DE = 100° . . . . . since CDE is 180°
- EA = 60°
Then your answers are ...
a) AE = 60°
b) ∠ABD = (1/2)(DE +EA) = (1/2)(100° +60°) = 80°
c) ∠DFC = (1/2)(CD +EB) = (1/2)(80° + (60° +60°)) = 100°
d) ∠P = (1/2)(DA -AB) = (1/2)(100° +60° -60°) = 50°
e) ∠PAB = (1/2)(AB) = (1/2)(60°) = 30°
The formula for the general term of the sequence is Tn = 4n - 2
<h3>How to determine the formula?</h3>
The sequence is given as:
{2, 6, 10, 14, 18, . . . }
The above sequence is an arithmetic sequence with the following features:
- First term, a = 2
- Common difference, d = 4 i.e. 6 - 2
The formula for the general term is calculated using:
Tn = a + (n - 1) * d
This gives
Tn= 2 + (n - 1) * 4
Expand
Tn = 2 + 4n - 4
Evaluate the like terms
Tn = 4n - 2
Hence, the formula for the general term of the sequence is Tn = 4n - 2
Read more about sequence at:
brainly.com/question/21961097
#SPJ1
Answer:
f(4)= 3
Step-by-step explanation:
f ( x ) = 2 x - 5
then f(4)= 2(4)-5
f(4)= 8-5
f(4)= 3
Answer:
The simplified version of this expression is
-2x + 15
Hope this helps!!
