Right triangle because of the 90. Every triangle having an angle of 90 degrees is a right triangle.
<span>In order to prove this for all integers n ≥ 0, we first prove the basis step P(0) and then prove the
inductive step, that P(k) implies P(k + 1).
1. BASIS STEP: Now in P(0), the left-hand side has just one term, namely 2, and the right-hand side is
1â’(â’7)1
4 =
8
4 = 2. Since 2 = 2, we have verified that P(0) is true.
2. INDUCTIVE STEP: For the inductive step, we assume that P(k) is true and and derive from it the truth of P(k + 1), which is the equation
2 â’ 2 · 7 + 2 · 72 ⒠· · · + 2(â’7)k + 2(â’7)k+1 =1 â’ (â’7)(k+1)+1/4
To prove an equation like this, it is usually best to start with the more complicated side and manipulate
it until we arrive at the other side. In this case we start on the left. Note that all but the last term
constitute precisely the left-hand side of P(k), and therefore by the inductive hypothesis, we can replace
it by the right-hand side of P(k). The rest is algebra:
2 â’ 2 · 7 + 2 · 72 ⒠· · · + 2(â’7)k + 2(â’7)k+1 =1 â’ (â’7)k+1/4+ 2(â’7)k+1
=1 â’(â’7)k+1 + 8(â’7)k+1/4
=1 + 7(â’7)k+1/4
=1 â’ (â’7) · (â’7)k+1/4
=1 â’ (â’7)(k+1)+1/4</span>
We have 3 sides
x,3x,3x+2
P=632
x+3x+3x+2=632
7x=632-2
7x=630
x=90
3x=270
3x+2=272
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The best and most correct answer among the choices provided by the question is <span>C. 1/20 </span>.<span>
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Hope my answer would be a great help for you.</span>
Its definatley 5r...is this on your answer choice?