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hram777 [196]
3 years ago
9

Tonya wrote the equation below which solves for x.

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Given parameters:

    x = 150 minus 6 y

Interpreting this gives;

    minus = subtraction  = -

 

        x  = 150 - 6y

Now bring the variables together;

                    x + 6y  = 150

The option that matches with this equivalent.

The other choices are wrong;

   

   a,  x + 150 = 6 y

           x - 6y = 150   wrong

 c. 2x + 3y = 75   mulitply through by 2;

      2(2x + 3y) = 2(75)

        4x + 6y  = 150      wrong

   d. 2x - 3y = 75

    Multiply by 2;

     2(2x -3y) = 2(75)

      4x - 6y = 150

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cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto P
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Answer:

Step-by-step explanation:

Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB

=> MP là đường trung bình của tam giác DAB => MP//BD và MP=\frac{1}{2}BD  (1)

Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC

=> QN là đường trung bình của tam giác DBC => QN//BD và QN=\frac{1}{2}BD  (2)

Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN

và độ dài MP = độ dài QN = \frac{1}{2}BD

=> vecto MP = vecto QN

Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN

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