sparklebaby509 sparklebaby509

24-04-2018
Mathematics

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In circle E, AC=4, CG=6, and AH=3, Find HB and EG. If necessary, round to the tenths place.

In circle E AC4 CG6 and AH3 Find HB and EG If necessary round to the tenths place class=

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mkryukova19 mkryukova19

24-04-2018

Using theorem about secant segments we can write,
AB*AH=AG*AC
AC=4,
CG=6
AG=AC+CG=4+6=10
AH=3
AB= AH+HB=AH+x=3+x
(3+x)*3=10*4
9+3x=40
3x=40-9
3x=31
x=31/3≈10.3
HB≈10.3
EG=HB/2 (as radius and diameter)
EG=10.3/2≈5.2

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