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Mathematics 9 Online
OpenStudy (ayyookyndall):

**Triangles** **What is the range of possible values for x? The diagram is not to scale. a. 0 < x < 11 b. -3/5 < x < 11 c. 11 < x < 58 d. 3/5 < x <11

OpenStudy (ayyookyndall):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

which side is bigger: AD or CD

OpenStudy (ayyookyndall):

AD

OpenStudy (ayyookyndall):

@jim_thompson5910

OpenStudy (ayyookyndall):

Is it C?

jimthompson5910 (jim_thompson5910):

notice how the angle opposite the AD is 58 degrees since CD < AD, this means that the angle opposite CD must be less than 58 degrees

jimthompson5910 (jim_thompson5910):

the angle must also be positive, so, 0 < 5x + 3 < 58

jimthompson5910 (jim_thompson5910):

solve 0 < 5x + 3 < 58 for x and tell me what you get

OpenStudy (ayyookyndall):

0 < 8x < 58

OpenStudy (ayyookyndall):

So A?

jimthompson5910 (jim_thompson5910):

0 < 5x + 3 < 58 0-3 < 5x + 3-3 < 58-3 -3 < 5x < 55 ?? < x < ??

OpenStudy (ayyookyndall):

B?

OpenStudy (ayyookyndall):

Please tell me I got it correct lol

jimthompson5910 (jim_thompson5910):

you have it correct

OpenStudy (ayyookyndall):

Yes!! Thank you!

jimthompson5910 (jim_thompson5910):

np

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