Incomplete Question Consider here NS = SQ then we may solve for NQ
Answer:
Therefore,
[tex]NQ=54\ units[/tex]
Step-by-step explanation:
Consider N -S -Q as a Straight line as shown in the figure below such that,
[tex]NS = 2x + 7[/tex]
[tex]SQ = 5x -23[/tex]
[tex]NS =SQ[/tex] ..............Consideration
To Find:
NQ = ?
Solution:
[tex]NS =SQ[/tex] .....Given Consideration
Substituting the values we get
[tex]2x+7=5x-23\\\\3x=30\\\\x=\dfrac{30}{3}=10[/tex]
Therefore,
[tex]NS = 2\times 10 + 7 = 27[/tex]
[tex]SQ = 5\times 10 -23=27[/tex]
N -S-Q is a Straight Line,
Then BY Line Addition Postulate,
[tex]NQ=NS+SQ[/tex] ...............N-S-Q
Substituting the values we get
[tex]NQ=27+27=54\ units[/tex]
Therefore,
[tex]NQ=54\ units[/tex]
