What is the value of x, given that OP is parallel to NQ? X=8 X=14 X=15 X=28
2 answers:
Answer: x=14
Step-by-step explanation:
- The basic proportionality theorem says that when a line is parallel to a side of a triangle which intersects the other sides into two distinct points then the line must divides those sides in equal proportion.
Given: OP is parallel to NQ
By basic proportionality theorem ,
In Δ OMP , NQ must divide OM and MP in proportion.
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Use this 3 following steps:
1)At first, we should find the roots :
3x+8=0 => x=-8/3
x-4=0 => x=4
2)Using a chart for the limits:
photo
3)choose your solution:
[-8/3,-4)==> Sentence 3 is correct
