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Mathematics 16 Online
OpenStudy (here_to_help15):

H_e_L_p M_E _P_L_E_A_S_E

OpenStudy (here_to_help15):

OpenStudy (here_to_help15):

@phi

OpenStudy (phi):

how many degrees to go all the way around a circle?

OpenStudy (here_to_help15):

360

OpenStudy (here_to_help15):

@amistre64

OpenStudy (here_to_help15):

@pooja195

OpenStudy (phi):

yes, 360. notice that your circle is divided into 3 pieces and if you add up the 3 pieces you should get 360 can you write down the "sum" ?

OpenStudy (here_to_help15):

120

OpenStudy (here_to_help15):

@phi

OpenStudy (here_to_help15):

:/

OpenStudy (phi):

the "numbers" they give you have x's in them write down all three "expressions" with a plus sign in between them

OpenStudy (here_to_help15):

What? i dont follow

OpenStudy (here_to_help15):

Oh wait

OpenStudy (here_to_help15):

So \[ (8x+10) + (6x) + (10x+10)\]

OpenStudy (here_to_help15):

?

OpenStudy (phi):

yes and that must equal 360 \[ (8x+10) + (6x) + (10x+10) = 360 \] because they represent the whole circle.

OpenStudy (phi):

although the first term should be 8x-10 (not 8x+10)

OpenStudy (here_to_help15):

Oops sorry

OpenStudy (here_to_help15):

So @phi is 15 ????

OpenStudy (here_to_help15):

is it*

OpenStudy (here_to_help15):

P.S i just plugged it in :)

OpenStudy (phi):

yes, that is one way to do the problem. you could also add up the x's 8x+6x+10x= 24x and -10+10 = 0 so it simplifies to 24x= 360 x= 360/24 = 15

OpenStudy (here_to_help15):

So now part B ?

OpenStudy (phi):

the angles of the triangle are 1/2 the opposite "arcs" figure out what each arc is (plug 15 into each one )

OpenStudy (here_to_help15):

huh?

OpenStudy (here_to_help15):

For B i was gonna but isosceles

OpenStudy (phi):

if you get the same number for each arc you have an equilateral triangle. if 2 out of the 3 are the same, it's isosceles if all 3 are different , it's scalene

OpenStudy (here_to_help15):

Well yes i summed it up to 2 out of 3

OpenStudy (here_to_help15):

Am i correct?

OpenStudy (phi):

what numbers did you get for 8x-10 6x 10x+10 ?

OpenStudy (here_to_help15):

I got 110, 90,160 and oops i meant scalene

OpenStudy (phi):

and the actual angles of the triangle are 55, 45 and 80 yes, definitely scalene

OpenStudy (here_to_help15):

;) Thanks so much can we do just 2 more :)

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