Answer:
1. 15 degrees.
2. 90 degrees.
3. 66 degrees.
Step-by-step explanation:
M and 2 appear to be 90 degrees. This is because there are parallel sides on the left and right of the kite. So, 2 is 90 degrees.
E and 75 are corresponding (I don't remember the postulate or whatnot) so 90 degrees plus 75 degrees is 165 degrees. There are 180 degrees in a triangle, so 180 minus 165 is 15. 1 Has to be 15 degrees.
3 is 66 degrees since it is corresponding with the angle on the other side of T (I, once again, do not remember the postulate).
16.) 38.25= 4.25h
divide by 4.25 on both sides
h=9
17.)214= 1/3x
divide by 1/3 on both sides
x= 642
18.)70= 2x
divide by 2 on both sides
x=35
19.)18.69= 5.25+1.68x
subtract 5.25 on both sides
13.44=1.68x
divide by 1.68 on both sides
x=8
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
