Question

17. Use the diagram to find the value of x and the measure of each angle. Write a justification for each step. D A (3x+17)^ (5x+11)^ 140^ B C Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion. 18. Because today is Friday, tomorrow will be Saturday. 1 19. Sandy earned A's on her first six geometry tests, so she concludes that she will always earn A's on geometry tests. 20. If $5x = 25$, then $x = 5$. Identify the property that justifies each statement. 21. If $m\angle ABC = m\angle DEF$, then $m\angle DEF = m\angle ABC$. 22. If $AB = CD$ and $CD = EF$, then $AB = EF$. 23. $x = y$; If $y = 9$, then $x = 9$. 24. $w = w$ Write a proof using any format. (? 2-column) 25. Given $m\angle 1 + m\angle 2 = 90^\circ$, $m\angle 3 + m\angle 4 = 90^\circ$ Prove $m\angle 1 = m\angle 4$ 2 3

          17. Use the diagram to find the value of x and the measure of each angle. Write
a justification for each step.
D
A (3x+17)^
(5x+11)^
140^
B
C
Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion.
18. Because today is Friday, tomorrow will be Saturday.
1
19. Sandy earned A's on her first six geometry tests, so she concludes that she will always earn A's on
geometry tests.
20. If $5x = 25$, then $x = 5$.
Identify the property that justifies each statement.
21. If $m\angle ABC = m\angle DEF$, then $m\angle DEF = m\angle ABC$.
22. If $AB = CD$ and $CD = EF$, then $AB = EF$.
23. $x = y$; If $y = 9$, then $x = 9$.
24. $w = w$
Write a proof using any format. (? 2-column)
25. Given $m\angle 1 + m\angle 2 = 90^\circ$,
$m\angle 3 + m\angle 4 = 90^\circ$
Prove $m\angle 1 = m\angle 4$
2
3

17. Use the diagram to find the value of x and the measure of each angle. Write
a justification for each step.
D
A (3x+17)^
(5x+11)^
140^
B
C
Decide whether inductive reasoning or deductive reasoning is used to reach the conclusion.
18. Because today is Friday, tomorrow will be Saturday.
1
19. Sandy earned A's on her first six geometry tests, so she concludes that she will always earn A's on
geometry tests.
20. If 5x = 25, then x = 5.
Identify the property that justifies each statement.
21. If m∠ ABC = m∠ DEF, then m∠ DEF = m∠ ABC.
22. If AB = CD and CD = EF, then AB = EF.
23. x = y; If y = 9, then x = 9.
24. w = w
Write a proof using any format. (? 2-column)
25. Given m∠ 1 + m∠ 2 = 90^∘,
m∠ 3 + m∠ 4 = 90^∘
Prove m∠ 1 = m∠ 4
2
3

Added by Andrew W.

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