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# I need help with these geometry questions please asap

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So my teacher gave me a quiz without explaining how to do it, and actually I have a whole *unit* to do so I need help please asap really bad with allot of questions

Thank you so much I really appreciate it

Mar 6, 2018

#1
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First one :

DHG is an inscribed angle...it measures 1/2 of minor arc DG....so arc DG  =  2 * 55  = 110°

Second one :

arc BAC  = 360 - 290  = 70°

Third one :  The inscribed angle is !/2 the intercepted arc ....so...

(3x  -1.5)  = (1/2) (3x + 9)   multiply both sides by 2

2(3x  - 1.5)  =  3x + 9    simplify

6x - 3  = 3x + 9       add 3 to both sides....subtract 3x from both sides

3x  =  12   divide both sides by 3

x = 4

So  arc AC  =  3(4) + 9   =   21°

Fourth one :

A little tricky.....the angle that has both sides terminating at the diameter ends   = 90°

Three angles of a triangle sum to 180°

So

68 + 90 + x  = 180

158 +  x   = 180     subtract  158 from  bth sides

x  = 22°

Hope that helps  !!

Mar 6, 2018
#2
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It did, thank you so so so much!!!

VixenGrace  Mar 6, 2018