Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The vector is a=<-4,-3,5>
Generally the unit vector is 
Here y represent the y-coordinate
So
=> 
Generally the resultant of a unit vector is 1
So
Hence
Taking the square of both sides
=> 
=> 
=> 
Rationalizing
=> 
Given that the first coordinate is positive
Hence the unit vector is
=>
X = 2/3 + 5/6 + 4/6 + 5/6 = 9/6 = 3/2
Answer:
Given - PS is parallel to QR
angle QPS is congruent to angle SRQ
To prove - PQ is congruent to RS
Solution -
In triangle PSQ and SQR
Angle PSQ = Angle SQR ( Interior Angle form by the parallel lines are equal i.e PQ is parallel to QR)
Angle P = Angle R (given)
SQ = SQ ( common)
PSQ = SQR ( prove above)
By ASA Congruence criteria Triangle PQS is congruent to triangle QRS
By CPCT PS is congruent to RS
Hence, Proved
3x + 6= -1 - 3 + 4x
combine like terms
3x + 6= -4 + 4x
subtract 3x from both sides
6= -4 + x
add 4 to both sides
10= x
ANSWER: x= 10; This equation has one answer.
Hope this helps! :)
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