18-26 even.

Mathematics
Tutor: None Selected Time limit: 1 Day

Apr 10th, 2015

18. a^2+b^2=c^2 for it to be tangent, the pythagorean theorem must work. 

3^2+4^2=5^2 => 9+16=25 => 25=25! it is tangent

20. a^2+b^2=c^2

48^2+10^2=52^2 => 2304+100=2704 => 2404 = 2704 not true. so it is not tangent. 

22. a^2+b^2=c^2 this time we add in variables! 

(6+r)^2=9^2+r^2 now we solve for r. 

36+12r+r^2=81+r^2  => 12r=45  => r=3.75

24. if the sides are tangent they should be congruent. so we can say BA=DA 

3x+10 = 7x-6 solve for x. => 4x=16 => x=4

26. AB=AD 

4x-1=3x^2+4x-4 =>> 3x^2=3 => x^2=1 => x=1

Apr 10th, 2015

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