Question

If NS = 2x + 7 and SQ = 5x - 23, find NQ

Answer 1

Incomplete Question Consider here NS = SQ then we may solve for NQ

Answer:

Therefore,

`NQ=54\ units`

Explanation:

Consider N -S -Q as a Straight line as shown in the figure below such that,

`NS = 2x + 7`

`SQ = 5x -23`

`NS =SQ` ..............Consideration

To Find:

NQ = ?

Solution:

`NS =SQ` .....Given Consideration

Substituting the values we get

`2x+7=5x-23\\\\3x=30\\\\x=(30)/(3)=10`

Therefore,

`NS = 2* 10 + 7 = 27`

`SQ = 5* 10 -23=27`

N -S-Q is a Straight Line,

Then BY Line Addition Postulate,

`NQ=NS+SQ` ...............N-S-Q

Substituting the values we get

`NQ=27+27=54\ units`

Therefore,

`NQ=54\ units`