Question

What is the value of x?

Answer 1

inscribed angle theorem: angle of inscribed angle is half the central angle or arc

Answer 2

So according to that theorem, we have \(\dfrac{1}{2}(6x-8) = 10x+10\)

Answer 3

is this correct?

Answer 4

on LHS of first line, it supposed to be 1/2, not 2

Answer 5

ltp1212 has the correct steps and answer

Answer 6

you can either do

2*(6x-8) = 10x + 10

or

(1/2)*(10x+10) = 6x - 8

Answer 7

@geerky42 no

Answer 8

2*(angle GFE) = (arc GE)

or

(1/2)*(arc GE) = (angle GFE)

Answer 9

when i do 1/2(6x-8)=10x+10 i get x=-2

Answer 10

oh that's me then. sorry.

Answer 11

@jim_thompson5910 thank you

Answer 12

np and no worries

Answer 13

@geerky42 thanks anyways