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04-09-2014
Mathematics

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T(8,15) is the midpoint of CD. The coordinates of d are (8,20) what are the coordinates of c

Answer :

04-09-2014

[tex]coordinates\ of\ C(x,y)\\\\coordintaes\ of\ D(8,20)\\\\ T(8,15)=(\frac{8+x}{2}\ ;\ \frac{20+y}{2})\\\\8=\frac{8+x}{2}\ \ |*2\\\\16=8+x\\\\ 16-8=x\\\\x=8\\\\ 15=\frac{20+y}{2}\ \ |*2\\\\ 30=20+y\\\\y=30-20\\\\y=10\\\\ Q=(8,10)[/tex]

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