<span>b) consistent and independent</span>
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:
The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.
Step-by-step explanation:
We take the estimate from the website, and expand for all buyers, to find the proportion that use their smartphones.
400 users of the website were randomly sampled from the existing database and 180 were found to have used their smart phones.
180/400 = 0.45
The best estimate for the proportion of ticket buyers that make purchases using their smart phones is 0.45.
600(1+0.08/5)^5=649560.3
The valur of Rs 600will decline to 649560.3in 5 years interest is 8%
Answer:
It will cost 42 to completely fill the box with hay.
have a good day <3