Question

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Use the figure for exercises 13-14. Rewrite each sum using a single angle.
13. mLLMN + mLNMP
14. mLNMP
mLOMP
Given that x = 3 + y and that -2y + 3 < -1, provide
reasons for each step in the following solution for x.
STATEMENTS
15. x = 3 + y and -2y + 3 < -1
16. x > y
17. -2y<-4
18. y> 2
19. x > 2
15.
16.
17.
18.
19.
REASONS
M

Answer 1

13. m∠MN + m∠NMP = m∠MP.

14. m∠NMP - m∠OMP = m∠NMO.

~

15. x = 3 + y and -2y + 3 < -1 : Given

16. x > y : x = 3 + y

17. -2y < -4 : -2y < -4

18. y > 2 : y > 2

19. x > 2 : x = 3 + y and y > 2

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