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tensa zangetsu [6.8K]
4 years ago
13

Write a complete two-column proof for the following information given

Mathematics
1 answer:
rosijanka [135]4 years ago
5 0

   <u>Statement </u>                  <u>Reason</u>        

1. AB = x + 16                 1. Given

  BC = 4x + 11

   AC = 77

2. AB + BC = AC             2. Segment Addition Postulate

3. x + 16 + 4x + 11 = 77     3. Substitution Property

4. 5x + 27 = 77                 4. Simplification <em>(added like terms)</em>

5. 5x = 50                         5. Subtraction Property of Equality

6. x = 10                             6. Division Property of Equality

7. AB = 10 + 16                   7. Substitution Property

8. AB = 26                          8. Simplification <em>(added like terms)</em>

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As you can see the lengths of opposite sides are equal, but all lengths are not equal. Therefore, the last option D is false.

Now check whether angles A and B are perpendicular:

The dot products are not equal to zero, then angles A and B are nor right. This means that option C is false and option A is correct (ABCD is a parallelogram with non-perpendicular adjacent sides

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3 years ago
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Answer:

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3 years ago
Help please. step by step explanation appreciated
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Answer:


Step-by-step explanation:

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3 years ago
Explain how the distance formula can prove Pythagoras' Theorem. In your
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Answer:

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c^2=a^2+b^2

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The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.

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