Answer:
The set of numbers of the form , q≠0 and q≠ 1 or -1.
Step-by-step explanation:
We have that,
U = the universal set = the set of all rational numbers
S = set of all integers.
It is required to find .
Now, is the complement of the set S.
i.e. = U - S = set if rational numbers - set of integers
i.e. = the set of rationals which are not integers i.e. the set of points of the form
, q≠0 and q≠ 1 or -1.
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
