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oakleylynn
24.12.2021 •
Mathematics
: Find a Pattern. Use the terms from Part I to answer each question. • What is a proof? (1 point) • You want to prove a theorem in a two-column proof. You start with your given statement and list deductions in the left-hand column. What are the three main types of reasoning you will use for reasons in the right-hand column? (3 points; 1 point each) 1. 2. 3. • In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false? (1 point) Statement to Prove True: If a figure has exactly three sides, then it is a triangle. Statement to Prove False:
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Ответ:
It is a straight line with angle measures of 90°, x° and 25° opposite to the angle marked 180°.
Hence, their sum is 180°.
➛![90 \degree + x + 25 \degree = 180 \degree](/tpl/images/1059/3975/fd4d8.png)
➛![115 \degree + x = 180 \degree](/tpl/images/1059/3975/bbd32.png)
Then,
➛![x = 180 \degree - 115 \degree](/tpl/images/1059/3975/fca47.png)
➛![x = 65 \degree](/tpl/images/1059/3975/c2106.png)
Hence:-The measure of the angle will be 65° (Ans)
~![\large{ \blue{ \sf{FadedElla}}}](/tpl/images/1059/3975/6937b.png)