Question

Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.

Answer 1

`6x + 5 + 4x = 45`

`10x = 40`

Explanation:

Given

`OP = 6x + 5`

`PQ = 4x`

`OQ = 45`

The given parameters show that P is a point between O and Q.

So:

`OQ = OP + PQ`

Substitute values for OP, PQ and OQ

`45 = 6x + 5 + 4x`

`6x + 5 + 4x = 45` --- This is an equation

Collect Like Terms

`6x + 4x = 45 - 5`

`10x = 40` ------ This is another

Make x the subject

`x = (40)/(10)`

`x = 4`