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: A
Step-by-step explanation:
The sum to infinity of a geometric series is
S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )
where a is the first term 8 and r is the common ratio, hence
S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16
- Simplify both sides of the equation
=>x+5+4−5=x+54
=>x+5+4+−5=x+54
=>(x)+(5+4+−5)=x+54(Combine Like Terms)
=>x+4=x+54
=>x+4=x+54
- Subtract x from both sides
=>x+4−x=x+54−x
=>4=54
- Subtract 4 from both sides
=>4−4=54−4
=>0=50
Basically you are multiplying each thing by 5
1 stage 1
5 stage 2
25 stage 3
125 stage 4
625 stage 5
3125 stage 6