Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (marcoreus11):

I need help

OpenStudy (marcoreus11):

this first is 13 and next is 12 and the rest is 13 right?

OpenStudy (marcoreus11):

@mathmate check plz?

OpenStudy (marcoreus11):

and its 4 for l

OpenStudy (marcoreus11):

@jim_thompson5910 help check?

jimthompson5910 (jim_thompson5910):

you got the one for Lancelot correct, but the one you got for Galahad is incorrect

OpenStudy (marcoreus11):

its 11

jimthompson5910 (jim_thompson5910):

|dw:1464309597161:dw|

jimthompson5910 (jim_thompson5910):

|dw:1464309626020:dw|

jimthompson5910 (jim_thompson5910):

|dw:1464309649630:dw|

jimthompson5910 (jim_thompson5910):

|dw:1464309684784:dw| a = 9 b = x-1 c = 15 Use the Pythagorean Theorem \[\Large a^2 + b^2 = c^2\] \[\Large 9^2 + (x-1)^2 = 15^2\] \[\Large 81 + x^2-2x+1 = 225\] \[\Large 81 + x^2-2x+1 - 225=0\] \[\Large x^2-2x-143=0\] solve for x

jimthompson5910 (jim_thompson5910):

keep in mind that x > 0. Otherwise, it makes no sense to have a negative side length

OpenStudy (marcoreus11):

oh okay

jimthompson5910 (jim_thompson5910):

actually, the side length x-1 > 0 so x > 1

OpenStudy (marcoreus11):

next?

jimthompson5910 (jim_thompson5910):

I'll let you solve. Give it a shot

jimthompson5910 (jim_thompson5910):

The quadratic formula is best to use

OpenStudy (marcoreus11):

x=13

jimthompson5910 (jim_thompson5910):

yes correct

OpenStudy (marcoreus11):

so how about the others?

jimthompson5910 (jim_thompson5910):

for the one with Gawain, you'll use the rule under `a Tangent and a Secant` on this link http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm

OpenStudy (marcoreus11):

its x=34

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

show me how you got 34

OpenStudy (marcoreus11):

129-61=68/2=34

jimthompson5910 (jim_thompson5910):

I see, notice how the angle isn't simply x. It is (3x-5) degrees

jimthompson5910 (jim_thompson5910):

so it should be 3x-5 = 34 which means x = ???

OpenStudy (marcoreus11):

97

jimthompson5910 (jim_thompson5910):

you made a mistake somewhere

jimthompson5910 (jim_thompson5910):

Did you add 5 to both sides? Then divide both sides by 3?

OpenStudy (marcoreus11):

oh its 13 my bad

OpenStudy (marcoreus11):

i plugged 34 into x

jimthompson5910 (jim_thompson5910):

I see

jimthompson5910 (jim_thompson5910):

yes x = 13 for Gawain

jimthompson5910 (jim_thompson5910):

so far, the 3 knights in the top row all have x = 13

OpenStudy (marcoreus11):

yup

OpenStudy (marcoreus11):

the next one is 13

OpenStudy (marcoreus11):

26/2 equal 13

jimthompson5910 (jim_thompson5910):

for Sir Robin, use the formula in the `Two Secants` section http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm

jimthompson5910 (jim_thompson5910):

x = 13 is not the correct answer for Sir Robin

OpenStudy (marcoreus11):

14

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (marcoreus11):

yeah last one is 13 so its 4

jimthompson5910 (jim_thompson5910):

|dw:1464310891792:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!