Answer:
Given: 
, 
, 
, 
formed by two intersecting segments.
In the given figure;
Linear pair states that a pair adjacent angle formed when two lines intersect.
Then by definition of linear pairs,
and forms a linear pair
Also, and forms a linear pair.
Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).
Then by linear pair postulates;
and
Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.
then by substitution property of equality:
Addition property of equality states that:
if x =y, then x + z = y+ z
By addition property of equality:
hence proved!
Answer:
36
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
If t6 = 3,r = 1/8, then
3 = a × 1/8^(6 - 1) = a × (1/8)^5
a = 3/(0.125)^5 = 98304
The first term is 98304.
Second term is 98304 × 1/8 = 12288
Third term is 12288 × 1/8 = 1536
Third term is 1536 × 1/8 = 192
2) t1 = 4
t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12
t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36
t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108
3) let the numbers be t2,t3 and t4
The sequence becomes
1/2, t2,t3, t4,8
The formula for finding the nth term of a geometric sequence is
Tn = ar^(n - 1)
8 = 1/2 × r^(5 - 1)
8 = 1/2 × r^4
16 = r^4
2^4 = r^4
r = 2
t2 = 1/2 × 2 = 1
t3 = 1 × 2 = 2
t4 = 2 × 2 = 4
Answer:
A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment
Hope this helps even a little bit:)
It already is rounded to the nearest hundredth
