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Anna [14]
3 years ago
12

What is the format to this proof given prove

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
5 0
This is a two-column proof, given that the triangle proofs are given in two columns, statement and reason.
kolezko [41]3 years ago
4 0

Answer: Two column proof

Step-by-step explanation:

  • In geometry, according to the definition of Two-column proof :-  A Two- column proof is a way of writing a proof using two columns in which logical arguments organised in the form of statements and reasons in order to achieve a conclusion.

To write a two column proof we need to make a Two column table , in which first column is named as the Statements and the second column is named as its Reasons .

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Simon has more money than Kande. if Simon gave Kande K20, they would have the same amount. While if Kande gave Simon $22, Simon
motikmotik

Given parameters;

  Let us solve this problem step by step;

Let us represent Simon's money by S

Kande's money by K

  • Simon has more money than Kande

               S > K

  •  if Simon gave Kande K20, they would have the same amount;

 if Simon gives $20, his money will be  S - 20 lesser;

      When Kande receives $20, his money will increase to K + 20

                     S - 20  = K + 20   ------ (i)

  • While if Kande gave Simon $22, Simon would then have twice as much as Kande;

          if Kande gave Simon $22, his money will be K - 22

    Simon's money, S + 22;

                  S + 22  = 2(K - 22)    ------ (ii)

Now we have set up two equations, let us solve;

         S - 20  = K + 20  ---- i

         S + 22  = 2(K - 22)  ;       S + 22  = 2K - 44  ---- ii

So,      S - 20  = K + 20

          S + 22  = 2K - 44

subtract both equations;

               -20 - 22  = (k -2k)  + 64

                   -42  = -k + 64

                       k  = 106

Using equation i, let us find S;

            S - 20 = K + 20

             S - 20  = 106 + 20

              S = 106 + 20 + 20  = 146

Therefore, Kande has $106 and Simon has $146

3 0
3 years ago
What is equivalent to (x – 8)(x – 6)?
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X^2 - 8x - 6x + 48 i think
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There are 90 girls and 60 boys Participating in a race. The coach separates them into two equal groups made of all girls or or b
Lady_Fox [76]
90/2 is 45.. 60/2 is 30.. 30+45=75... 75 students would be able to be in each of the 2 groups, each containing 45 girls and 30 boys ... Hope I helped (:
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3 years ago
The first diagram shows an equilateral triangle and a
liberstina [14]

Answer:

Ar = ¼√3 As

Step-by-step explanation:

Area of an equilateral triangle is:

Ar = ¼√3 s²

Area of a square is:

As = s²

Substituting:

Ar = ¼√3 As

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Answer:

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