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  • 24-03-2022
  • Mathematics
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Solve for X Show and explain your work Please

Solve for X Show and explain your work Please class=

Respuesta :

subtomex0
subtomex0 subtomex0
  • 24-03-2022

x=8.385

Step-by-step explanation:

Angle EBD is a right angle since it's facing the diameter ED

Hence triangle BED is a right isosceles triangle since we also know that EB=BD

so A is the midpoint of ED since it's the center of the circle and ED is a diameter

which implies ED=2×AD=2×6=12

Using the Pythagorean theorem on a right isosceles triangle which states:

a²+b²=c²

x²+x²=12²

2x²=144

x²=72

x=√72=8.485

Answer Link

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