Question

HELPPP THANK U (ill give brainly to correct)

Answer 1

Answer:7.09 units

Step-by-step explanation:

According to the diagram,

Angle LOX=Angle LOB+Angle BOX

Angle LOD=Angle LOP+Angle POD

As OL is perpendicular to DX so Angle LOX=Angle LOD=90°

So, Angle LOB+Angle BOX=Angle LOP+Angle POD

Now, it is given that Angle LOP=Angle LOB

Therefore, Angle BOX=Angle POD

In right angled triangle POD,

Cos POD=OD/10

[Cos a=Base/Hypertenuse]

Cos BOX=OX/12

As Angle POD=Angle BOX, So, Cos POD=Cos BOX

OD/10=OX/12

OD=5OX/6

Now given that OD+OX=13units

(5OX/6)+OX=13

11OX=78

OX=78/11=7.0909.......units

OX in nearest hundredth =7.09units