VentriX
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« on: August 22, 2010, 08:07:45 PM » |
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Tinatanong toh sakin nung 3rd year HS na kapatid ko.  Find x,y and z angle All angles are in degrees. Try as I might using 3 equations, hindi ko talaga masolve. May alam po ba kayong solution? Thnx.... |
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« on: August 22, 2010, 08:07:45 PM » |
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toasted siopao
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« Reply #1 on: August 22, 2010, 08:31:19 PM » |
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y+z = 180
63 + 37 + x + unknown = 180, x + unknown = 80
x + unknown = 80
37 + unknown + z = 180
y+z = 180
63 + x = z
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toasted siopao
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« Reply #2 on: August 22, 2010, 08:36:37 PM » |
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x+y+63=180
x+y = 117
y+z=180
z-x=63
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« Reply #3 on: August 22, 2010, 08:37:19 PM » |
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kasama ba sa "x" yung angle ng right side na triangle? Kung di siya kasama lalabas na 4 unknown yung hinahanap
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toasted siopao
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« Reply #5 on: August 22, 2010, 09:02:05 PM » |
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No definite figure but you will have a definite solution set, for any values of x, x + u will always be equal to 80, y +z will always be equal to 180.
Given an example, x = 50, u = 30, y + z = 180, 63 + x + y = 180 ;
y = 67, z = 180 - 67; z = 113
Basing from the figure z > y > x, so pasok pa ang solution set na ito sa problem mo.
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VentriX
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« Reply #6 on: August 22, 2010, 09:10:00 PM » |
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Ah ok thnx po..... Sabi na wlang sktong sagot!
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AirWire
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« Reply #7 on: August 22, 2010, 09:11:02 PM » |
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walang iisang solution dyan:
This solutions are ok:
y=z=90, x=27
y=91, z=89, x=26
y=92, z=88, x=25
and so on...
in short, walang definite solution... equation, pwede...
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toasted siopao
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« Reply #8 on: August 22, 2010, 09:18:25 PM » |
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walang iisang solution dyan:
This solutions are ok:
y=z=90, x=27
y=91, z=89, x=26
y=92, z=88, x=25
and so on...
in short, walang definite solution... equation, pwede...
solution set, is diff. from a mere solution. |
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xperryment
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« Reply #10 on: September 19, 2010, 06:19:18 PM » |
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Diophantine equation to db
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enhinyeroz1118
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« Reply #11 on: September 21, 2010, 01:22:53 PM » |
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try lang to..
let: a be the angle beside the x.
(180-63-37)=80
so, a+x=80 eq.1
y+z=180; (straight angle) eq.2
x+y=117 (180-63) eq.3
a+z=143 (180-37) eq.4
eq.1 - eq. 4------->eq.5
eq.2 - eq. 3------->eq.6
substitute eq. 5 to eq.6
then solve all the unknowns..
a=21.5
x=y=58.5
z=121.5
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July 19, 2011, 09:40:13 AM
