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

Options (2) and (5)

Explanation:

Given in the question,

Length of OQ = 45

OP = (6x + 5)

PQ = 4x

By segment addition postulate,

Length of a segment OQ = length of segment OP + length of segment PQ

45 = 6x + 5 + 4x

10x + 5 = 45

10x = 45 - 5

10x = 40

x =
`(40)/(10)`

x = 4

Therefore, Option (2) and Option (5) are the correct options.