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Mathematics 14 Online
OpenStudy (anonymous):

Find the value of x .

OpenStudy (anonymous):

OpenStudy (anonymous):

A: 13/5 B: 5 C: 19/5 D: 3

OpenStudy (kattan):

5

OpenStudy (anonymous):

are you positive that's the right answer ?

jigglypuff314 (jigglypuff314):

solve for x when given: \[\frac{ 5x - 1 }{ 2 } = 12\]

OpenStudy (kattan):

yes

OpenStudy (anonymous):

I have a few more questions , I can't figure out the answers to . Could you guys help me ?

jigglypuff314 (jigglypuff314):

sure :)

OpenStudy (anonymous):

thank you so much ! hold on a sec tho , im going to post it .

OpenStudy (anonymous):

jigglypuff314 (jigglypuff314):

what would you like to prove or disprove?

OpenStudy (anonymous):

Which statement can you conclude from the given information ? A) AI=KB B)AI=AK C) AB=IK D)AJ=JB

OpenStudy (mathmale):

Have you tried using ratios? Note that the smaller triangle,the one with longest side 12, is similar to the larger triangle, the one with longest side 5x-1. Thus, the interior angles of the larger and smaller triangles are identical. Thus, we can set up proportions. Comparing longest sides: 12/(5x-1) Comparing bottom sides (AC/2) / AC Set these 2 ratios = to each other and simplify the result. Solve for x.

jigglypuff314 (jigglypuff314):

|dw:1386793162499:dw|IJ = KJ definition of bisecting angle AJI = angle AJK because they are both 90 degrees (definition of perpendicular) AJ = AJ because of reflexive property of equality therefore triangle AJI = triangle AJK b/c SAS then because of that you can get that AI = AK

OpenStudy (anonymous):

Thank you so much lol I understand now that you showed me . but I still have a few more questions you still want to help @jigglypuff314 ?

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