Question

What is the value of y?

Answer 1

is that a right angled isosceles triangle?

Answer 2

it looks right angled but I thought it wasn't supposed to assume. But yes its an isosceles

Answer 3

it's in a circle, i think there is some theorem that says that angle-H has to a right angle

Answer 4

tbh, I believe we were all taught in Geometry class not to assume a triangle is 90 degrees, by looks, but I've come across problems where it's the only logical path...to assume that it's 90 degrees.

Answer 5

I think you're right @UnkleRhaukus

Answer 6

so do i make it 3y+6=90

Answer 7

No, angle F is not 90 degrees

Answer 8

<F + <G + <H = 180 (triangle)

<H = 90 (diameter triangle theorem)

<F = <G (isosceles triangle )

Answer 9

There you have it ^

Answer 10

Just use that information to form an equation that solves for y

Answer 11

(diameter triangle theorem) = (Thales' theorem)

Answer 12

I'm trying to figure out the equation but i don't understand.

Answer 13

im so sorry its just really hard

Answer 14

substituting

<F + <F + 90 = 180

simplify this



then plug in <F = 3y+6

Answer 15

2(3y+6)+90=180 ?

Answer 16

simplify the equation with <F,
before substituting in 3y+6

Answer 17

2f+90=180?

Answer 18

yeah, now keep simplifying ...

Answer 19

(take away 90)
(divide by 2)

Answer 20

so f=45

Answer 21

good,

now
f = 45 = 3y+6

solve for y

Answer 22

so y=13?

Answer 23

\[\color{red}\checkmark \]

Answer 24

thank you so much!! I cant express how grateful I am

Answer 25

Could you help me with another problem or do i have to make a new question

Answer 26

Welcome to OpenStudy!

I would probably be easiest to close this question, and open a new one,
i'll see you there!