Step-by-step explanation:
connect the points p and s
and comnect the points q and t
take triangle PQS and triangle TSQ
SQ similar to SQ
PQ similar to QS
QS similar to ST
therefore triangle PQS similar to triangle TSQ
Therefore , PQ/ QS = ST/ QS
PQ=ST
Given:
U be the set of all books, N the set of all novels, and H be the set of all hardcover books.
To find:
The description for the sets 
and 
in words.
Solution:
We have,
U = The set of all books
N = The set of all novels
H = The set of all hardcover books.
We know that means common elements of set N and set H.
Therefore, is set of all books that are both novels and hardcover books.
We know that is the set of elements of universal set except the elements of set H.
Therefore, is the set of all books that are not hardcover books.
Distribute
2(x-1) =3(x-4)
2x -2 =3 (x-4)
Distribute
2x-2 =3 (x-4)
2x-2=3x-12
Add 2 both sides of the equation
2x-2=3x-12
2x-2+2=3x-12+2
Simplify
2x=3x-10
Subtract 3x from both sides of the equation
2x=3x -10
2x -3x =3x -10 -3x
Simplify
-x=-10
Divide both sides of the equation by the same term
-x=-10
-x/-1 / -1 / -10/-1
Simplify
X=10
Answer : x=10
